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Cooperative Control of Multi-Agent Systems

Cooperative Control of Multi-Agent Systems
Optimal and Adaptive Design Approaches

by Frank L. Lewis,Hongwei Zhang,Kristian Hengster-Movric,Abhijit Das

  • Publisher : Springer Science & Business Media
  • Release : 2013-12-31
  • Pages : 307
  • ISBN : 1447155742
  • Language : En, Es, Fr & De
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Cooperative Control of Multi-Agent Systems extends optimal control and adaptive control design methods to multi-agent systems on communication graphs. It develops Riccati design techniques for general linear dynamics for cooperative state feedback design, cooperative observer design, and cooperative dynamic output feedback design. Both continuous-time and discrete-time dynamical multi-agent systems are treated. Optimal cooperative control is introduced and neural adaptive design techniques for multi-agent nonlinear systems with unknown dynamics, which are rarely treated in literature are developed. Results spanning systems with first-, second- and on up to general high-order nonlinear dynamics are presented. Each control methodology proposed is developed by rigorous proofs. All algorithms are justified by simulation examples. The text is self-contained and will serve as an excellent comprehensive source of information for researchers and graduate students working with multi-agent systems.

Cooperative Control of Multi-Agent Systems

Cooperative Control of Multi-Agent Systems
A Consensus Region Approach

by Zhongkui Li,Zhisheng Duan

  • Publisher : CRC Press
  • Release : 2017-12-19
  • Pages : 262
  • ISBN : 1466569972
  • Language : En, Es, Fr & De
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Distributed controller design is generally a challenging task, especially for multi-agent systems with complex dynamics, due to the interconnected effect of the agent dynamics, the interaction graph among agents, and the cooperative control laws. Cooperative Control of Multi-Agent Systems: A Consensus Region Approach offers a systematic framework for designing distributed controllers for multi-agent systems with general linear agent dynamics, linear agent dynamics with uncertainties, and Lipschitz nonlinear agent dynamics. Beginning with an introduction to cooperative control and graph theory, this monograph: Explores the consensus control problem for continuous-time and discrete-time linear multi-agent systems Studies the H∞ and H2 consensus problems for linear multi-agent systems subject to external disturbances Designs distributed adaptive consensus protocols for continuous-time linear multi-agent systems Considers the distributed tracking control problem for linear multi-agent systems with a leader of nonzero control input Examines the distributed containment control problem for the case with multiple leaders Covers the robust cooperative control problem for multi-agent systems with linear nominal agent dynamics subject to heterogeneous matching uncertainties Discusses the global consensus problem for Lipschitz nonlinear multi-agent systems Cooperative Control of Multi-Agent Systems: A Consensus Region Approach provides a novel approach to designing distributed cooperative protocols for multi-agent systems with complex dynamics. The proposed consensus region decouples the design of the feedback gain matrices of the cooperative protocols from the communication graph and serves as a measure for the robustness of the protocols to variations of the communication graph. By exploiting the decoupling feature, adaptive cooperative protocols are presented that can be designed and implemented in a fully distributed fashion.

Cooperative Control of Multi-Agent Systems

Cooperative Control of Multi-Agent Systems
Theory and Applications

by Yue Wang,Eloy Garcia,Fumin Zhang,David Casbeer

  • Publisher : John Wiley & Sons
  • Release : 2017-05-08
  • Pages : 320
  • ISBN : 1119266122
  • Language : En, Es, Fr & De
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A comprehensive review of the state of the art in the control of multi-agent systems theory and applications The superiority of multi-agent systems over single agents for the control of unmanned air, water and ground vehicles has been clearly demonstrated in a wide range of application areas. Their large-scale spatial distribution, robustness, high scalability and low cost enable multi-agent systems to achieve tasks that could not successfully be performed by even the most sophisticated single agent systems. Cooperative Control of Multi-Agent Systems: Theory and Applications provides a wide-ranging review of the latest developments in the cooperative control of multi-agent systems theory and applications. The applications described are mainly in the areas of unmanned aerial vehicles (UAVs) and unmanned ground vehicles (UGVs). Throughout, the authors link basic theory to multi-agent cooperative control practice — illustrated within the context of highly-realistic scenarios of high-level missions — without losing site of the mathematical background needed to provide performance guarantees under general working conditions. Many of the problems and solutions considered involve combinations of both types of vehicles. Topics explored include target assignment, target tracking, consensus, stochastic game theory-based framework, event-triggered control, topology design and identification, coordination under uncertainty and coverage control. Establishes a bridge between fundamental cooperative control theory and specific problems of interest in a wide range of applications areas Includes example applications from the fields of space exploration, radiation shielding, site clearance, tracking/classification, surveillance, search-and-rescue and more Features detailed presentations of specific algorithms and application frameworks with relevant commercial and military applications Provides a comprehensive look at the latest developments in this rapidly evolving field, while offering informed speculation on future directions for collective control systems The use of multi-agent system technologies in both everyday commercial use and national defense is certain to increase tremendously in the years ahead, making this book a valuable resource for researchers, engineers, and applied mathematicians working in systems and controls, as well as advanced undergraduates and graduate students interested in those areas.

Cooperative Control of Multi-Agent Systems

Cooperative Control of Multi-Agent Systems
An Optimal and Robust Perspective

by Jianan Wang,Chunyan Wang,Ming Xin,Zhengtao Ding,Jiayuan Shan

  • Publisher : Academic Press
  • Release : 2020-03-25
  • Pages : 258
  • ISBN : 0128204451
  • Language : En, Es, Fr & De
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Cooperative Control of Multi-Agent Systems: An Optimal and Robust Perspective reports and encourages technology transfer in the field of cooperative control of multi-agent systems. The book deals with UGVs, UAVs, UUVs and spacecraft, and more. It presents an extended exposition of the authors’ recent work on all aspects of multi-agent technology. Modelling and cooperative control of multi-agent systems are topics of great interest, across both academia (research and education) and industry (for real applications and end-users). Graduate students and researchers from a wide spectrum of specialties in electrical, mechanical or aerospace engineering fields will use this book as a key resource. Helps shape the reader's understanding of optimal and robust cooperative control design techniques for multi-agent systems Presents new theoretical control challenges and investigates unresolved/open problems Explores future research trends in multi-agent systems Offers a certain amount of analytical mathematics, practical numerical procedures, and actual implementations of some proposed approaches

Distributed Cooperative Control of Multi-agent Systems

Distributed Cooperative Control of Multi-agent Systems
A Book

by Wenwu Yu,Guanghui Wen,Guanrong Chen,Jinde Cao

  • Publisher : John Wiley & Sons
  • Release : 2017-05-01
  • Pages : 350
  • ISBN : 1119246202
  • Language : En, Es, Fr & De
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A detailed and systematic introduction to the distributed cooperative control of multi-agent systems from a theoretical, network perspective Features detailed analysis and discussions on the distributed cooperative control and dynamics of multi-agent systems Covers comprehensively first order, second order and higher order systems, swarming and flocking behaviors Provides a broad theoretical framework for understanding the fundamentals of distributed cooperative control

Cooperative Control of Distributed Multi-Agent Systems

Cooperative Control of Distributed Multi-Agent Systems
A Book

by Jeff Shamma

  • Publisher : John Wiley & Sons
  • Release : 2008-02-28
  • Pages : 452
  • ISBN : 9780470724194
  • Language : En, Es, Fr & De
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The paradigm of ‘multi-agent’ cooperative control is the challenge frontier for new control system application domains, and as a research area it has experienced a considerable increase in activity in recent years. This volume, the result of a UCLA collaborative project with Caltech, Cornell and MIT, presents cutting edge results in terms of the “dimensions” of cooperative control from leading researchers worldwide. This dimensional decomposition allows the reader to assess the multi-faceted landscape of cooperative control. Cooperative Control of Distributed Multi-Agent Systems is organized into four main themes, or dimensions, of cooperative control: distributed control and computation, adversarial interactions, uncertain evolution and complexity management. The military application of autonomous vehicles systems or multiple unmanned vehicles is primarily targeted; however much of the material is relevant to a broader range of multi-agent systems including cooperative robotics, distributed computing, sensor networks and data network congestion control. Cooperative Control of Distributed Multi-Agent Systems offers the reader an organized presentation of a variety of recent research advances, supporting software and experimental data on the resolution of the cooperative control problem. It will appeal to senior academics, researchers and graduate students as well as engineers working in the areas of cooperative systems, control and optimization.

Fixed-Time Cooperative Control of Multi-Agent Systems

Fixed-Time Cooperative Control of Multi-Agent Systems
A Book

by Zongyu Zuo,Qing-Long Han,Boda Ning

  • Publisher : Springer
  • Release : 2020-08-14
  • Pages : 153
  • ISBN : 9783030202811
  • Language : En, Es, Fr & De
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This monograph presents new theories and methods for fixed-time cooperative control of multi-agent systems. Fundamental concepts of fixed-time stability and stabilization are introduced with insightful understanding. This book presents solutions for several problems of fixed-time cooperative control using systematic design methods. The book compares fixed-time cooperative control with asymptotic cooperative control, demonstrating how the former can achieve better closed-loop performance and disturbance rejection properties. It also discusses the differences from finite-time control, and shows how fixed-time cooperative control can produce the faster rate of convergence and provide an explicit estimate of the settling time independent of initial conditions. This monograph presents multiple applications of fixed-time control schemes, including to distributed optimization of multi-agent systems, making it useful to students, researchers and engineers alike.

Multiagent Systems

Multiagent Systems
Introduction and Coordination Control

by Magdi S. Mahmoud

  • Publisher : CRC Press
  • Release : 2020-03-20
  • Pages : 400
  • ISBN : 1000078108
  • Language : En, Es, Fr & De
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Multiagent systems (MAS) are one of the most exciting and the fastest growing domains in the intelligent resource management and agent-oriented technology, which deals with modeling of autonomous decisions making entities. Recent developments have produced very encouraging results in the novel approach of handling multiplayer interactive systems. In particular, the multiagent system approach is adapted to model, control, manage or test the operations and management of several system applications including multi-vehicles, microgrids, multi-robots, where agents represent individual entities in the network. Each participant is modeled as an autonomous participant with independent strategies and responses to outcomes. They are able to operate autonomously and interact pro-actively with their environment. In recent works, the problem of information consensus is addressed, where a team of vehicles communicate with each other to agree on key pieces of information that enable them to work together in a coordinated fashion. The problem is challenging because communication channels have limited range and there are possibilities of fading and dropout. The book comprises chapters on synchronization and consensus in multiagent systems. It shows that the joint presentation of synchronization and consensus enables readers to learn about similarities and differences of both concepts. It reviews the cooperative control of multi-agent dynamical systems interconnected by a communication network topology. Using the terminology of cooperative control, each system is endowed with its own state variable and dynamics. A fundamental problem in multi-agent dynamical systems on networks is the design of distributed protocols that guarantee consensus or synchronization in the sense that the states of all the systems reach the same value. It is evident from the results that research in multiagent systems offer opportunities for further developments in theoretical, simulation and implementations. This book attempts to fill this gap and aims at presenting a comprehensive volume that documents theoretical aspects and practical applications.

Cooperative Coordination and Formation Control for Multi-agent Systems

Cooperative Coordination and Formation Control for Multi-agent Systems
A Book

by Zhiyong Sun

  • Publisher : Springer
  • Release : 2018-02-23
  • Pages : 179
  • ISBN : 3319742655
  • Language : En, Es, Fr & De
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The thesis presents new results on multi-agent formation control, focusing on the distributed stabilization control of rigid formation shapes. It analyzes a range of current research problems such as problems concerning the equilibrium and stability of formation control systems, or the problem of cooperative coordination control when agents have general dynamical models, and discusses practical considerations arising during the implementation of established formation control algorithms. In addition, the thesis presents models of increasing complexity, from single integrator models, to double integrator models, to agents modeled by nonlinear kinematic and dynamic equations, including the familiar unicycle model and nonlinear system equations with drift terms. Presenting the fruits of a close collaboration between several top control groups at leading universities including Yale University, Groningen University, Purdue University and Gwangju Institute of Science and Technology (GIST), the thesis spans various research areas, including robustness issues in formations, quantization-based coordination, exponential stability in formation systems, and cooperative coordination of networked heterogeneous systems.

On the Control of Multi-Agent Systems

On the Control of Multi-Agent Systems
A Survey

by Fei Chen,Wei Ren

  • Publisher : Unknown Publisher
  • Release : 2019-07-31
  • Pages : 176
  • ISBN : 9781680835823
  • Language : En, Es, Fr & De
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Multi-Agent Systems (MAS) use networked multiple autonomous agents to accomplish complex tasks in areas such as space-based applications, smart grids, and machine learning. The overall system goal is achieved using local interactions among the agents. The last two decades have witnessed rapid development of MASs in automatic control. Tracing the roots of such systems back more than 50 years, this monograph provides the reader with an in-depth and comprehensive survey of the research in Multi-Agent Systems. The focus is on the research conducted in the two decades. It introduces the basic concepts and definitions to the reader before going on to describe how MAS has been used in most forms of systems. The monograph offers a concise reference for understanding the use of MASs and the contemporary research issues for further investigation. In addition to covering the basic theory, the authors also cover applications in multi-robot systems, sensor networks, smart grid, machine learning, social networks, and many-core microprocessors. On the Control of Multi-Agent Systems provides researchers and students in systems and control a modern, comprehensive survey of one of the most important current day topics.

Cooperative Control of Multi-Agent Systems

Cooperative Control of Multi-Agent Systems
An Optimal and Robust Perspective

by Jianan Wang,Chunyan Wang,Ming Xin,Zhengtao Ding,Jiayuan Shan

  • Publisher : Academic Press
  • Release : 2020-03-25
  • Pages : 258
  • ISBN : 0128204451
  • Language : En, Es, Fr & De
GET BOOK

Cooperative Control of Multi-Agent Systems: An Optimal and Robust Perspective reports and encourages technology transfer in the field of cooperative control of multi-agent systems. The book deals with UGVs, UAVs, UUVs and spacecraft, and more. It presents an extended exposition of the authors’ recent work on all aspects of multi-agent technology. Modelling and cooperative control of multi-agent systems are topics of great interest, across both academia (research and education) and industry (for real applications and end-users). Graduate students and researchers from a wide spectrum of specialties in electrical, mechanical or aerospace engineering fields will use this book as a key resource. Helps shape the reader's understanding of optimal and robust cooperative control design techniques for multi-agent systems Presents new theoretical control challenges and investigates unresolved/open problems Explores future research trends in multi-agent systems Offers a certain amount of analytical mathematics, practical numerical procedures, and actual implementations of some proposed approaches

Cellular Communications

Cellular Communications
A Comprehensive and Practical Guide

by Nishith Tripathi,Jeffrey H. Reed

  • Publisher : John Wiley & Sons
  • Release : 2014-09-12
  • Pages : 1044
  • ISBN : 1118956516
  • Language : En, Es, Fr & De
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Even as newer cellular technologies and standards emerge, many of the fundamental principles and the components of the cellular network remain the same. Presenting a simple yet comprehensive view of cellular communications technologies, Cellular Communications provides an end-to-end perspective of cellular operations, ranging from physical layer details to call set-up and from the radio network to the core network. This self-contained source for practitioners and students represents a comprehensive survey of the fundamentals of cellular communications and the landscape of commercially deployed 2G and 3G technologies and provides a glimpse of emerging 4G technologies.

Cooperative Tracking Control and Regulation for a Class of Multi-agent Systems

Cooperative Tracking Control and Regulation for a Class of Multi-agent Systems
A Book

by Hongjing Liang,Huaguang Zhang

  • Publisher : Springer
  • Release : 2019-05-28
  • Pages : 173
  • ISBN : 9811383596
  • Language : En, Es, Fr & De
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This book focuses on the characteristics of cooperative control problems for general linear multi-agent systems, including formation control, air traffic control, rendezvous, foraging, role assignment, and cooperative search. On this basis and combined with linear system theory, it introduces readers to the cooperative tracking problem for identical continuous-time multi-agent systems under state-coupled dynamics; the cooperative output regulation for heterogeneous multi-agent systems; and the optimal output regulation for model-free multi-agent systems. In closing, the results are extended to multiple leaders, and cooperative containment control for uncertain multi-agent systems is addressed. Given its scope, the book offers an essential reference guide for researchers and designers of multi-agent systems, as well as a valuable resource for upper-level undergraduate and graduate students.

Cooperative Control of Nonlinear Networked Systems

Cooperative Control of Nonlinear Networked Systems
Infinite-time and Finite-time Design Methods

by Yongduan Song,Yujuan Wang

  • Publisher : Springer
  • Release : 2019-01-01
  • Pages : 197
  • ISBN : 3030049728
  • Language : En, Es, Fr & De
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Cooperative Control of Nonlinear Networked Systems is concerned with the distributed cooperative control of multiple networked nonlinear systems in the presence of unknown non-parametric uncertainties and non-vanishing disturbances under certain communication conditions. It covers stability analysis tools and distributed control methods for analyzing and synthesizing nonlinear networked systems. The book presents various solutions to cooperative control problems of multiple networked nonlinear systems on graphs. The book includes various examples with segments of MATLAB® codes for readers to verify, validate, and replicate the results. The authors present a series of new control results for nonlinear networked systems subject to both non-parametric and non-vanishing uncertainties, including the cooperative uniformly ultimately bounded (CUUB) result, finite-time stability result, and finite-time cooperative uniformly ultimately bounded (FT-CUUB) result. With some mathematical tools, such as algebraic graph theory and certain aspects of matrix analysis theory introduced by the authors, the readers can obtain a deeper understanding of the roles of matrix operators as mathematical machinery for cooperative control design for multi-agent systems. Cooperative Control of Nonlinear Networked Systems is a valuable source of information for researchers and engineers in cooperative adaptive control, as its technical contents are presented with examples in full analytical and numerical detail, and graphically illustrated for easy-to-understand results. Scientists in research institutes and academics in universities working on nonlinear systems, adaptive control and distributed control will find the book of interest, as it contains multi-disciplinary problems and covers different areas of research.

Consensus Tracking of Multi-agent Systems with Switching Topologies

Consensus Tracking of Multi-agent Systems with Switching Topologies
A Book

by Lijing Dong,Sing Kiong Nguang

  • Publisher : Academic Press
  • Release : 2020-04-08
  • Pages : 266
  • ISBN : 012818941X
  • Language : En, Es, Fr & De
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Consensus Tracking of Multi-agent Systems with Switching Topologies takes an advanced look at the development of multi-agent systems with continuously switching topologies and relay tracking systems with switching of agents. Research problems addressed are well defined and numerical examples and simulation results are given to demonstrate the engineering potential. The book is aimed at advanced graduate students in control engineering, signal processing, nonlinear systems, switched systems and applied mathematics. It will also be a core reference for control engineers working on nonlinear control and switched control, as well as mathematicians and biomedical engineering researchers working on complex systems. Discusses key applications and the latest advances in distributed consensus tracking methods Offers a clear and comprehensive overview on the recent development of multi-agent systems with switching topologies Offers graduate students and beginning engineers a core reference on complex systems analysis and cooperative control

Innovations in Multi-Agent Systems and Application – 1

Innovations in Multi-Agent Systems and Application – 1
A Book

by Dipti Srinivasan,Lakhmi C. Jain

  • Publisher : Springer Science & Business Media
  • Release : 2010-08-10
  • Pages : 302
  • ISBN : 3642144349
  • Language : En, Es, Fr & De
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This book provides an overview of multi-agent systems and several applications that have been developed for real-world problems. Multi-agent systems is an area of distributed artificial intelligence that emphasizes the joint behaviors of agents with some degree of autonomy and the complexities arising from their interactions. Multi-agent systems allow the subproblems of a constraint satisfaction problem to be subcontracted to different problem solving agents with their own interest and goals. This increases the speed, creates parallelism and reduces the risk of system collapse on a single point of failure. Different multi-agent architectures, that are tailor-made for a specific application are possible. They are able to synergistically combine the various computational intelligent techniques for attaining a superior performance. This gives an opportunity for bringing the advantages of various techniques into a single framework. It also provides the freedom to model the behavior of the system to be as competitive or coordinating, each having its own advantages and disadvantages.

Distributed Consensus in Multi-vehicle Cooperative Control

Distributed Consensus in Multi-vehicle Cooperative Control
Theory and Applications

by Wei Ren,Randal Beard

  • Publisher : Springer Science & Business Media
  • Release : 2007-10-27
  • Pages : 319
  • ISBN : 1848000154
  • Language : En, Es, Fr & De
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Assuming only neighbor-neighbor interaction among vehicles, this monograph develops distributed consensus strategies that ensure that the information states of all vehicles in a network converge to a common value. Readers learn to deal with groups of autonomous vehicles in aerial, terrestrial, and submarine environments. Plus, they get the tools needed to overcome impaired communication by using constantly updated neighbor-neighbor interchange.

Distributed Cooperative Control for Multi-agent Systems

Distributed Cooperative Control for Multi-agent Systems
A Book

by Guoguang Wen

  • Publisher : Unknown Publisher
  • Release : 2012
  • Pages : 153
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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This dissertation focuses on distributed cooperative control of multi-agent systems. First, the leader-following consensus for multi-agent systems with nonlinear dynamics is investigated. Three consensus algorithms are proposed and some sufficient conditions are obtained for the states of followers converging to the state of virtual leader globally exponentially. Second, the consensus tracking for multi-agent systems with nonlinear dynamics is investigated. Some consensus tracking algorithms are developed, and some sufficient conditions are obtained. Based on these consensus tracking algorithms and sufficient conditions, it is shown that in first-order multi-agent systems all followers can track the virtual leader in finite time, and in second-order multi-agent systems the consensus tracking can be achieved at least globally exponentially. Third, the path planning and motion control of multi-agent formation is studied, where a practical framework is provided. In order to find a collision-free and deadlock-free feasible path for the whole formation, an optimizing algorithm is given to optimize the path generated by A* search algorithm. In order to realize the cohesive motion of a persistent formation in 3-dimensional space, a set of decentralized control laws is designed. Finally, the formation keeping problem is studied. We mainly focus on the closing ranks problem, which deals with the addition of links to a rigid multi-agent formation that is "damaged" by losing one of its agents, in order to recover rigidity. Some graph theoretical results are obtained, and some systematic 'self-repair' operations are proposed to recover the rigidity in case of agent removals.

Complex Systems and Networks

Complex Systems and Networks
Dynamics, Controls and Applications

by Jinhu Lü,Xinghuo Yu,Guanrong Chen,Wenwu Yu

  • Publisher : Springer
  • Release : 2015-08-14
  • Pages : 482
  • ISBN : 3662478242
  • Language : En, Es, Fr & De
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This elementary book provides some state-of-the-art research results on broad disciplinary sciences on complex networks. It presents an in-depth study with detailed description of dynamics, controls and applications of complex networks. The contents of this book can be summarized as follows. First, the dynamics of complex networks, for example, the cluster dynamic analysis by using kernel spectral methods, community detection algorithms in bipartite networks, epidemiological modeling with demographics and epidemic spreading on multi-layer networks, are studied. Second, the controls of complex networks are investigated including topics like distributed finite-time cooperative control of multi-agent systems by applying homogenous-degree and Lyapunov methods, composite finite-time containment control for disturbed second-order multi-agent systems, fractional-order observer design of multi-agent systems, chaos control and anticontrol of complex systems via Parrondos game and many more. Third, the applications of complex networks provide some applicable carriers, which show the importance of theories developed in complex networks. In particular, a general model for studying time evolution of transition networks, deflection routing in complex networks, recommender systems for social networks analysis and mining, strategy selection in networked evolutionary games, integration and methods in computational biology, are discussed in detail.

Cooperative Control of Multi-agent Systems Stability, Optimality and Robustness

Cooperative Control of Multi-agent Systems Stability, Optimality and Robustness
A Book

by Kristian Hengster Movric,ProQuest Dissertations and Theses (Electronic resource collection),University of Texas at Arlington. College of Engineering

  • Publisher : Unknown Publisher
  • Release : 2013
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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In this work design methods are given for distributed synchronization control of multi-agent systems on directed communication graphs. Conditions are derived based on the relation of the graph eigenvalues to a region in a complex plane that depends on the single-agent system and the solution of the local Riccati equation. The synchronizing region concept is used. Cooperative observer design, guaranteeing convergence of the local estimates to their true values, is also proposed. The notion of convergence region for distributed observers is introduced. A duality principle is shown to hold for distributed observers and controllers on balanced graph topologies. Application of cooperative observers is made to the distributed synchronization problem. Three dynamic regulator architectures are proposed for cooperative synchronization.In the second part this work brings together stability and optimality theory to design distributed cooperative control protocols, which guarantee consensus and are globally optimal with respect to a structured performance criterion. Here an inverse optimality approach is used together with partial stability to consider cooperative consensus and synchronization algorithms. A new class of digraphs is defined admitting a distributed solution to the global optimal control problem.The third part of this work investigates cooperative control performance under disturbances, and distributed static output-feedback control. Control design for the state consensus in presence of disturbances is investigated. Derived results are also applicable to multi-agent systems with heterogeneous agents. If, on the other hand, one constrains the control to be of the static output-feedback form, one needs to redefine the synchronizing region as the output-feedback synchronizing region.Contributions to Discrete-time Multi-agent Consensus ProblemThe main contribution to the discrete-time multi-agent consensus problem is the proposed design method based on local Riccati feedback gains, guaranteeing cooperative stability and convergence to consensus.Contributions to Globally Optimal Distributed Control ProblemThe globally optimal distributed synchronization control protocols are investigated. The main contribution is in merging the notions of inverse optimality and partial stability to guarantee robust stabilization to the noncompact consensus manifold. Furthermore, second contribution is the introduction of the class of digraphs that gives a distributed solution to a structured global optimal control problem.Contributions to Cooperative Robustness of Multi-agent SystemsThe robustness properties of asymptotic and exponential stability are applied in the context of cooperative stability for consensus. The results are based on Lyapunov functions for noncompact manifolds, and the pertinent stability and robustness properties are further elaborated. Distributed and local observers are utilized for disturbance compensation. Contributions to Distributed Output-feedback for State SynchronizationAn application of the cooperative stability analysis, via synchronizing region, to the distributed output-feedback is presented. It is shown that the guaranteed synchronizing region for output-feedback can be both bounded and unbounded.