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Backstepping Control of Nonlinear Dynamical Systems

Backstepping Control of Nonlinear Dynamical Systems
A Book

by Sundarapandian Vaidyanathan,Ahmad Taher Azar

  • Publisher : Academic Press
  • Release : 2020-08-15
  • Pages : 532
  • ISBN : 0128175834
  • Language : En, Es, Fr & De
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Backstepping Control of Nonlinear Dynamical Systems addresses both the fundamentals of backstepping control and advances in the field. The latest techniques explored include ‘active backstepping control’, ‘adaptive backstepping control’, ‘fuzzy backstepping control’ and ‘adaptive fuzzy backstepping control’. The reference book provides numerous simulations using MATLAB and circuit design. These illustrate the main results of theory and applications of backstepping control of nonlinear control systems. Backstepping control encompasses varied aspects of mechanical engineering and has many different applications within the field. For example, the book covers aspects related to robot manipulators, aircraft flight control systems, power systems, mechanical systems, biological systems and chaotic systems. This multifaceted view of subject areas means that this useful reference resource will be ideal for a large cross section of the mechanical engineering community. Details the real-world applications of backstepping control Gives an up-to-date insight into the theory, uses and application of backstepping control Bridges the gaps for different fields of engineering, including mechanical engineering, aeronautical engineering, electrical engineering, communications engineering, robotics and biomedical instrumentation

Nonlinear Dynamical Systems and Control

Nonlinear Dynamical Systems and Control
A Lyapunov-Based Approach

by Wassim M. Haddad,VijaySekhar Chellaboina

  • Publisher : Princeton University Press
  • Release : 2011-09-19
  • Pages : 944
  • ISBN : 1400841046
  • Language : En, Es, Fr & De
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Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. Dynamical system theory lies at the heart of mathematical sciences and engineering. The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to biochemistry to chemical kinetics, from medicine to biology to population genetics, from economics to sociology to psychology, and from physics to mechanics to engineering. The increasingly complex nature of engineering systems requiring feedback control to obtain a desired system behavior also gives rise to dynamical systems. Wassim Haddad and VijaySekhar Chellaboina provide an exhaustive treatment of nonlinear systems theory and control using the highest standards of exposition and rigor. This graduate-level textbook goes well beyond standard treatments by developing Lyapunov stability theory, partial stability, boundedness, input-to-state stability, input-output stability, finite-time stability, semistability, stability of sets and periodic orbits, and stability theorems via vector Lyapunov functions. A complete and thorough treatment of dissipativity theory, absolute stability theory, stability of feedback systems, optimal control, disturbance rejection control, and robust control for nonlinear dynamical systems is also given. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers.

Nonlinear Dynamical Systems with Self-Excited and Hidden Attractors

Nonlinear Dynamical Systems with Self-Excited and Hidden Attractors
A Book

by Viet-Thanh Pham,Sundarapandian Vaidyanathan,Christos Volos,Tomasz Kapitaniak

  • Publisher : Springer
  • Release : 2018-02-26
  • Pages : 497
  • ISBN : 3319712438
  • Language : En, Es, Fr & De
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This book highlights the latest findings on nonlinear dynamical systems including two types of attractors: self-excited and hidden attractors. Further, it presents both theoretical and practical approaches to investigating nonlinear dynamical systems with self-excited and hidden attractors. The book includes 20 chapters contributed by respected experts, which focus on various applications such as biological systems, memristor-based systems, fractional-order systems, finance systems, business cycles, oscillators, coupled systems, hyperchaotic systems, flexible robot manipulators, electronic circuits, and control models. Special attention is given to modeling, design, circuit realization, and practical applications to address recent research problems in nonlinear dynamical systems. The book provides a valuable reference guide to nonlinear dynamical systems for engineers, researchers, and graduate students, especially those whose work involves mechanics, electrical engineering, and control systems.

Nonlinear Controller Design of a Class of Dynamical Systems

Nonlinear Controller Design of a Class of Dynamical Systems
A Book

by An-Chyau Huang

  • Publisher : Unknown Publisher
  • Release : 1994
  • Pages : 174
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Nonlinear and Adaptive Control Design

Nonlinear and Adaptive Control Design
A Book

by Miroslav Krstic,Ιωάννης Κανελλακόπουλος,Petar V. Kokotovic,Petar V. Kokotović

  • Publisher : Wiley-Interscience
  • Release : 1995-06-14
  • Pages : 563
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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An introduction to a new design for nonlinear control systems--backstepping--written by its own architects. This innovative book breaks new ground in nonlinear and adaptive control design for systems with uncertainties. Introducing the recursive backstepping methodology, it shows--for the first time--how uncertain systems with severe nonlinearities can be successfully controlled with this new powerful design tool. Communicative and accessible at a level not usually present in research texts, Nonlinear and Adaptive Control Design can be used as either a stand-alone or a supplemental text in courses on nonlinear or adaptive control, as well as in control research and applications. It eases the reader into the subject matter, assuming only standard undergraduate knowledge of control theory, and provides a pedagogical presentation of the material, most of which is completely new and not available in other textbooks. Written by the creators of backstepping, the book: * Introduces the basic design tools and demonstrates their effectiveness through worked examples * Provides detailed proofs and application examples (active suspension, jet engine, induction motor, and many others) * Develops adaptive backstepping, tuning functions, and modular designs with full state feedback * Generalizes the methodology to nonlinear systems with output feedback * Describes the advantages of the new adaptive nonlinear techniques over traditional methods * Offers a systematic methodology for performance improvement * Provides new designs for linear systems which can be used independently from therest of the book * Is self-contained with an extensive summary of stability and passivity prerequisites * Includes sixty illustrations and tables with design algorithms Nonlinear and Adaptive Control Design is an absolute must for researchers and graduate students with an interest in nonlinear systems, adaptive control, stability and differential equations and for anyone who would like to find out about the new and exciting advances in these areas.

Adaptive Backstepping Control of Uncertain Systems

Adaptive Backstepping Control of Uncertain Systems
Nonsmooth Nonlinearities, Interactions or Time-Variations

by Jing Zhou,Changyun Wen

  • Publisher : Springer
  • Release : 2008-01-08
  • Pages : 242
  • ISBN : 3540778071
  • Language : En, Es, Fr & De
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This book employs the powerful and popular adaptive backstepping control technology to design controllers for dynamic uncertain systems with non-smooth nonlinearities. Various cases including systems with time-varying parameters, multi-inputs and multi-outputs, backlash, dead-zone, hysteresis and saturation are considered in design and analysis. For multi-inputs and multi-outputs systems, both centralized and decentralized controls are addressed. This book not only presents recent research results including theoretical success and practical development such as the proof of system stability and the improvement of system tracking and transient performance, but also gives self-contained coverage of fundamentals on the backstepping approach illustrated with simple examples. Detail description of methodologies for the construction of adaptive laws, feedback control laws and associated Lyapunov functions is systematically provided in each case. Approaches used for the analysis of system stability and tracking and transient performances are elaborated. Two case studies are presented to show how the presented theories are applied.

Adaptive Control of Nonsmooth Dynamic Systems

Adaptive Control of Nonsmooth Dynamic Systems
A Book

by Gang Tao,Frank L. Lewis

  • Publisher : Springer Science & Business Media
  • Release : 2001-09-26
  • Pages : 407
  • ISBN : 9781852333843
  • Language : En, Es, Fr & De
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Many of the non-smooth, non-linear phenomena covered in this well-balanced book are of vital importance in almost any field of engineering. Contributors from all over the world ensure that no one area’s slant on the subjects predominates.

Block Backstepping Design of Nonlinear State Feedback Control Law for Underactuated Mechanical Systems

Block Backstepping Design of Nonlinear State Feedback Control Law for Underactuated Mechanical Systems
A Book

by Shubhobrata Rudra,Ranjit Kumar Barai,Madhubanti Maitra

  • Publisher : Springer
  • Release : 2016-09-08
  • Pages : 171
  • ISBN : 9811019568
  • Language : En, Es, Fr & De
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This book presents a novel, generalized approach to the design of nonlinear state feedback control laws for a large class of underactuated mechanical systems based on application of the block backstepping method. The control law proposed here is robust against the effects of model uncertainty in dynamic and steady-state performance and addresses the issue of asymptotic stabilization for the class of underactuated mechanical systems. An underactuated system is defined as one for which the dimension of space spanned by the configuration vector is greater than that of the space spanned by the control variables. Control problems concerning underactuated systems currently represent an active field of research due to their broad range of applications in robotics, aerospace, and marine contexts. The book derives a generalized theory of block backstepping control design for underactuated mechanical systems, and examines several case studies that cover interesting examples of underactuated mechanical systems. The mathematical derivations are described using well-known notations and simple algebra, without the need for any special previous background in higher mathematics. The chapters are lucidly described in a systematic manner, starting with control system preliminaries and moving on to a generalized description of the block backstepping method, before turning to several case studies. Simulation and experimental results are also provided to aid in reader comprehension.

Model-Based Tracking Control of Nonlinear Systems

Model-Based Tracking Control of Nonlinear Systems
A Book

by Elzbieta Jarzebowska

  • Publisher : CRC Press
  • Release : 2016-04-19
  • Pages : 315
  • ISBN : 1439819823
  • Language : En, Es, Fr & De
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Model-Based Control of Nonlinear Systems presents model-based control techniques for nonlinear, constrained systems. It covers constructive control design methods with an emphasis on modeling constrained systems, generating dynamic control models, and designing tracking control algorithms for the models. The book’s interdisciplinary approach illustrates how system modeling and control theory are essential to control design projects. Organized according to the steps in a control design project, the text first discusses kinematic and dynamic modeling methods, including programmed constraints, Lagrange’s equations, Boltzmann−Hamel equations, and generalized programmed motion equations. The next chapter describes basic control concepts and the use of nonlinear control theory. After exploring stabilization strategies for nonlinear systems, the author presents existing model-based tracking control algorithms and path-following strategies for nonlinear systems. The final chapter develops a new model reference tracking strategy for programmed motion. Throughout the text, two examples of mechanical systems are used to illustrate the theory and simulation results. The first example is a unicycle model (nonholonomic system) and the second is a two-link planar manipulator model (holonomic system). With a focus on constructive modeling and control methods, this book provides the tools and techniques to support the control design process.

Mathematical Reviews

Mathematical Reviews
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2006
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Advanced Synchronization Control and Bifurcation of Chaotic Fractional-Order Systems

Advanced Synchronization Control and Bifurcation of Chaotic Fractional-Order Systems
A Book

by Boulkroune, Abdesselem,Ladaci, Samir

  • Publisher : IGI Global
  • Release : 2018-05-11
  • Pages : 539
  • ISBN : 152255419X
  • Language : En, Es, Fr & De
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In the recent years, fractional-order systems have been studied by many researchers in the engineering field. It was found that many systems can be described more accurately by fractional differential equations than by integer-order models. Advanced Synchronization Control and Bifurcation of Chaotic Fractional-Order Systems is a scholarly publication that explores new developments related to novel chaotic fractional-order systems, control schemes, and their applications. Featuring coverage on a wide range of topics including chaos synchronization, nonlinear control, and cryptography, this publication is geared toward engineers, IT professionals, researchers, and upper-level graduate students seeking current research on chaotic fractional-order systems and their applications in engineering and computer science.

Manufacturing Science and Technology, ICMST2011

Manufacturing Science and Technology, ICMST2011
A Book

by Wu Fan

  • Publisher : Trans Tech Publications Ltd
  • Release : 2011-11-22
  • Pages : 8340
  • ISBN : 3038137588
  • Language : En, Es, Fr & De
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Volume is indexed by Thomson Reuters CPCI-S (WoS). The objective of ICMST 2011 was to provide a platform where researchers, engineers, academics and industrial professionals from all over the world could present their research results and discuss developments in Manufacturing Science and Technology. This conference provided opportunities for delegates to exchange new ideas and applications face-to-face, to establish business or research contacts and to find global partners for future collaboration.

Journal of Dynamic Systems, Measurement, and Control

Journal of Dynamic Systems, Measurement, and Control
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2007
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Nonlinear Control Under Nonconstant Delays

Nonlinear Control Under Nonconstant Delays
A Book

by Nikolaos Bekiaris-Liberis,Miroslav Krstic

  • Publisher : SIAM
  • Release : 2013-09-25
  • Pages : 302
  • ISBN : 1611973171
  • Language : En, Es, Fr & De
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The authors have developed a methodology for control of nonlinear systems in the presence of long delays, with large and rapid variation in the actuation or sensing path, or in the presence of long delays affecting the internal state of a system. In addition to control synthesis, they introduce tools to quantify the performance and the robustness properties of the designs provided in the book. The book is based on the concept of predictor feedback and infinite-dimensional backstepping transformation for linear systems and the authors guide the reader from the basic ideas of the concept?with constant delays only on the input?all the way through to nonlinear systems with state-dependent delays on the input as well as on system states. Readers will find the book useful because the authors provide elegant and systematic treatments of long-standing problems in delay systems, such as systems with state-dependent delays that arise in many applications. In addition, the authors give all control designs by explicit formulae, making the book especially useful for engineers who have faced delay-related challenges and are concerned with actual implementations and they accompany all control designs with Lyapunov-based analysis for establishing stability and performance guarantees.

Nonlinear Observer Design and Fault Diagnostics for Automated Longitudinal Vehicle Control

Nonlinear Observer Design and Fault Diagnostics for Automated Longitudinal Vehicle Control
A Book

by Adam Spencer Howell

  • Publisher : Unknown Publisher
  • Release : 2002
  • Pages : 226
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Proceedings of the 2005 American Control Conference, ACC

Proceedings of the 2005 American Control Conference, ACC
June 8 - June 10, 2005, Hilton Portland & Executive Tower. Portland, Oregon

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2005
  • Pages : 329
  • ISBN : 9780780390980
  • Language : En, Es, Fr & De
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Decentralized Adaptive Neural Network Control of Interconnected Nonlinear Dynamical Systems with Application to Power System

Decentralized Adaptive Neural Network Control of Interconnected Nonlinear Dynamical Systems with Application to Power System
A Book

by Shahab Mehraeen

  • Publisher : Unknown Publisher
  • Release : 2009
  • Pages : 532
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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"Traditional nonlinear techniques cannot be directly applicable to control large scale interconnected nonlinear dynamic systems due their sheer size and unavailability of system dynamics. Therefore, in this dissertation, the decentralized adaptive neural network (NN) control of a class of nonlinear interconnected dynamic systems is introduced and its application to power systems is presented in the form of six papers. In the first paper, a new nonlinear dynamical representation in the form of a large scale interconnected system for a power network free of algebraic equations with multiple UPFCs as nonlinear controllers is presented. Then, oscillation damping for UPFCs using adaptive NN control is discussed by assuming that the system dynamics are known. Subsequently, the dynamic surface control (DSC) framework is proposed in continuous-time not only to overcome the need for the subsystem dynamics and interconnection terms, but also to relax the explosion of complexity problem normally observed in traditional backstepping. The application of DSC-based decentralized control of power system with excitation control is shown in the third paper. On the other hand, a novel adaptive NN-based decentralized controller for a class of interconnected discrete-time systems with unknown subsystem and interconnection dynamics is introduced since discrete-time is preferred for implementation. The application of the decentralized controller is shown on a power network. Next, a near optimal decentralized discrete-time controller is introduced in the fifth paper for such systems in affine form whereas the sixth paper proposes a method for obtaining the L2-gain near optimal control while keeping a tradeoff between accuracy and computational complexity. Lyapunov theory is employed to assess the stability of the controllers"--Abstract, p. iv.

Nonlinear Dynamics and Controls

Nonlinear Dynamics and Controls
Presented at the 1996 ASME International Mechanical Engineering Congress and Exposition, November 17-22, 1996, Atlanta, Georgia

by Anil K. Bajaj,Navaratnam Sri Namachchivaya,Matthew A. Franchek

  • Publisher : Amer Society of Mechanical
  • Release : 1996
  • Pages : 239
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Proceedings of the November 1996 symposium. Contains 35 papers related to theoretical, experimental, and computational aspects of dynamics, vibration, and control of nonlinear mechanical and structural systems. The papers are divided according to the symposium's seven technical sessions: analytical

Proceedings

Proceedings
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1996
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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1996 IEEE International Workshop on Variable Structure Systems, VSS '96

1996 IEEE International Workshop on Variable Structure Systems, VSS '96
Proceedings, December 5-6, 1996, Institute of Industrial Science, University of Tokyo, Roppongi, Tokyo, Japan

by Anonim

  • Publisher : Institute of Electrical & Electronics Engineers(IEEE)
  • Release : 1996
  • Pages : 243
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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VSS'96 was a workshop designed for control engineers working in the field of sliding mode control, VSS and nonlinear systems. Providing coverage of that workshop, this text examines: robust sliding mode; VSS in power electronics; time delay systems; VSS theory; and VSS applications.