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Stability, Control and Application of Time-Delay Systems

Stability, Control and Application of Time-Delay Systems
A Book

by Qingbin Gao,Hamid Reza Karimi

  • Publisher : Butterworth-Heinemann
  • Release : 2019-06-27
  • Pages : 482
  • ISBN : 0128149299
  • Language : En, Es, Fr & De
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Stability, Control and Application of Time-Delay Systems gives a systematic description of these systems. It includes adequate designs of integrated modeling and control and frequency characterizations. Common themes revolve around creating certain synergies of modeling, analysis, control, computing and applications of time delay systems that achieve robust stability while retaining desired performance quality. The book provides innovative insights into the state-of-the-art of time-delay systems in both theory and practical aspects. It has been edited with an emphasis on presenting constructive theoretical and practical methodological approaches and techniques. Unifies existing and emerging concepts concerning time delay dynamical systems Provides a series of the latest results in large-delay analysis and multi-agent and thermal systems with delays Gives in each chapter numerical and simulation results in order to reflect the engineering practice

Stability, Control, and Computation for Time-Delay Systems

Stability, Control, and Computation for Time-Delay Systems
An Eigenvalue-Based Approach, Second Edition

by Wim Michiels,Silviu-Iulian Niculescu

  • Publisher : SIAM
  • Release : 2014-12-11
  • Pages : 435
  • ISBN : 1611973627
  • Language : En, Es, Fr & De
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Time delays are important components of many systems in, for instance, engineering, physics, economics, and the life sciences, because the transfer of material, energy, and information is usually not instantaneous. Time delays may appear as computation and communication lags, they model transport phenomena and heredity, and they arise as feedback delays in control loops. This monograph addresses the problem of stability analysis, stabilization, and robust fixed-order control of dynamical systems subject to delays, including both retarded- and neutral-type systems. Within the eigenvalue-based framework, an overall solution is given to the stability analysis, stabilization, and robust control design problem, using both analytical methods and numerical algorithms and applicable to a broad class of linear time-delay systems.÷ In this revised edition, the authors make the leap from stabilization to the design of robust and optimal controllers and from retarded-type to neutral-type delay systems, thus enlarging the scope of the book within control; include new, state-of-the-art material on numerical methods and algorithms to broaden the book?s focus and to reach additional research communities, in particular numerical linear algebra and numerical optimization; and increase the number and range of applications to better illustrate the effectiveness and generality of their approach.÷

Stability and Control of Time-Delay Systems

Stability and Control of Time-Delay Systems
A Book

by Luc Dugard,Erik I. Verriest

  • Publisher : Unknown Publisher
  • Release : 2014-01-15
  • Pages : 344
  • ISBN : 9783662202128
  • Language : En, Es, Fr & De
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Stability of Time-Delay Systems

Stability of Time-Delay Systems
A Book

by Keqin Gu,Vladimir L. Kharitonov,Jie Chen

  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • Pages : 356
  • ISBN : 1461200393
  • Language : En, Es, Fr & De
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This book is a self-contained presentation of the background and progress of the study of time-delay systems, a subject with broad applications to a number of areas.

Stability Analysis and Robust Control of Time-Delay Systems

Stability Analysis and Robust Control of Time-Delay Systems
A Book

by Min Wu,Yong He,Jin-Hua She

  • Publisher : Springer Science & Business Media
  • Release : 2010-11-04
  • Pages : 335
  • ISBN : 3642030378
  • Language : En, Es, Fr & De
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"Stability Analysis and Robust Control of Time-Delay Systems" focuses on essential aspects of this field, including the stability analysis, stabilization, control design, and filtering of various time-delay systems. Primarily based on the most recent research, this monograph presents all the above areas using a free-weighting matrix approach first developed by the authors. The effectiveness of this method and its advantages over other existing ones are proven theoretically and illustrated by means of various examples. The book will give readers an overview of the latest advances in this active research area and equip them with a pioneering method for studying time-delay systems. It will be of significant interest to researchers and practitioners engaged in automatic control engineering. Prof. Min Wu, senior member of the IEEE, works at the Central South University, China.

Dynamic Systems with Time Delays: Stability and Control

Dynamic Systems with Time Delays: Stability and Control
A Book

by Ju H. Park,Tae H. Lee,Yajuan Liu,Jun Chen

  • Publisher : Springer Nature
  • Release : 2019-08-29
  • Pages : 335
  • ISBN : 9811392544
  • Language : En, Es, Fr & De
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This book presents up-to-date research developments and novel methodologies to solve various stability and control problems of dynamic systems with time delays. First, it provides the new introduction of integral and summation inequalities for stability analysis of nominal time-delay systems in continuous and discrete time domain, and presents corresponding stability conditions for the nominal system and an applicable nonlinear system. Next, it investigates several control problems for dynamic systems with delays including H(infinity) control problem Event-triggered control problems; Dynamic output feedback control problems; Reliable sampled-data control problems. Finally, some application topics covering filtering, state estimation, and synchronization are considered. The book will be a valuable resource and guide for graduate students, scientists, and engineers in the system sciences and control communities.

Stability and Stabilization of Time-Delay Systems

Stability and Stabilization of Time-Delay Systems
An Eigenvalue-Based Approach

by Wim Michiels,Silviu-Iulian Niculescu

  • Publisher : SIAM
  • Release : 2007
  • Pages : 378
  • ISBN : 0898716322
  • Language : En, Es, Fr & De
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An overall solution to the (robust) stability analysis and stabilisation problem of linear time-delay systems.

Time-delay Systems

Time-delay Systems
Concepts, Design and Stability Analysis

by Magdi S. Mahmoud

  • Publisher : Unknown Publisher
  • Release : 2018-03
  • Pages : 329
  • ISBN : 9781536130881
  • Language : En, Es, Fr & De
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Time-delay occurs in many physical, industrial and engineering systems such as biological systems, chemical systems, metallurgical processing systems, nuclear reactors, hydraulic systems and electrical networks, to name a few. The reason for the occurrence could be attributed to inherent physical phenomena like mass transport flow or recycling. It could result from the finite capabilities of information processing and data transmission among various parts of the system. In addition, they could be by-products of computational delays or could be intentionally introduced for some design consideration. Such delays could be constant or time varying, known or unknown, deterministic or stochastic depending on the system under consideration. In recent years, time-delay, which exists in networked control systems, has brought more complex problems into a new research area. Frequently, it is a source of the generation of oscillation, instability and poor performance. Therefore, the subject of Time-Delay Systems (TDS) has been investigated as functional differential equations over the past four decades. Because the presence of the delay factor renders the system analysis more complicated, the problems of stability and stabilization are of great importance. This book presents some basic theories of stability and stabilization of systems with time-delays. More attention is paid to the synthesis of systems with time-delay. That is, control of nonlinear systems with delay; networked control systems; positive delay systems; fuzzy systems; and reset control with random delay are all analyzed within this book--

Stability and Stabilization of Linear and Fuzzy Time-Delay Systems

Stability and Stabilization of Linear and Fuzzy Time-Delay Systems
A Linear Matrix Inequality Approach

by Rajeeb Dey,Goshaidas Ray,Valentina Emilia Balas

  • Publisher : Springer
  • Release : 2017-11-24
  • Pages : 267
  • ISBN : 3319701495
  • Language : En, Es, Fr & De
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This book provides a clear understanding in formulating stability analysis and state feedback control of retarded time delay systems using Lyapunov’s second method in an LMI framework. The chapters offer a clear overview of the evolution of stability analysis in terms of the construction of a Lyapunov functional and use of the integral inequalities in order to reduce the gap of delay upper bound estimate compared to frequency domain method through existing and proposed stability theorems. Power system engineering problem has been presented here to give readers fair idea on applicability of the model and method for solving engineering problems. Without deviating from the framework of analysis more complex dynamics of the system have been dealt with here that includes actuator saturation and thereby ascertaining local stability for an estimated time-delay and domain of attraction. Nonlinearity in a time-delay system has been dealt with in the T-S fuzzy modeling approach. This book is useful as a textbook for Master’s students and advanced researcher working in the field of control system engineering, and for practicing engineers dealing with such complex dynamical systems. The strengths of the book are lucidity of presentation, lucidity of solution method, MATLAB programs given in the appendix that help the novice researcher to carry out research in this area independently, clear idea about the formulation of desired stability and control problem in a LMI framework, application problem provided can motivate students and researcher to recast their problems in the similar framework easily, helpful for readers to use the stability (stabilization) conditions or formulate their own stability conditions easily for a complicated linear or nonlinear dynamical system.

Introduction to Time-Delay Systems

Introduction to Time-Delay Systems
Analysis and Control

by Emilia Fridman

  • Publisher : Springer
  • Release : 2014-09-02
  • Pages : 362
  • ISBN : 3319093932
  • Language : En, Es, Fr & De
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The beginning of the 21st century can be characterized as the” time-delay boom” leading to numerous important results. The purpose of this book is two-fold, to familiarize the non-expert reader with time-delay systems and to provide a systematic treatment of modern ideas and techniques for experts. This book is based on the course ”Introduction to time-delay systems” for graduate students in Engineering and Applied Mathematics that the author taught in Tel Aviv University in 2011-2012 and 2012-2013 academic years. The sufficient background to follow most of the material are the undergraduate courses in mathematics and an introduction to control. The book leads the reader from some basic classical results on time-delay systems to recent developments on Lyapunov-based analysis and design with applications to the hot topics of sampled-data and network-based control. The objective is to provide useful tools that will allow the reader not only to apply the existing methods, but also to develop new ones. It should be of interest for researchers working in the field, for graduate students in engineering and applied mathematics, and for practicing engineers. It may also be used as a textbook for a graduate course on time-delay systems.

Linear Parameter-Varying and Time-Delay Systems

Linear Parameter-Varying and Time-Delay Systems
Analysis, Observation, Filtering & Control

by Corentin Briat

  • Publisher : Springer
  • Release : 2014-09-03
  • Pages : 394
  • ISBN : 3662440504
  • Language : En, Es, Fr & De
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This book provides an introduction to the analysis and control of Linear Parameter-Varying Systems and Time-Delay Systems and their interactions. The purpose is to give the readers some fundamental theoretical background on these topics and to give more insights on the possible applications of these theories. This self-contained monograph is written in an accessible way for readers ranging from undergraduate/PhD students to engineers and researchers willing to know more about the fields of time-delay systems, parameter-varying systems, robust analysis, robust control, gain-scheduling techniques in the LPV fashion and LMI based approaches. The only prerequisites are basic knowledge in linear algebra, ordinary differential equations and (linear) dynamical systems. Most of the results are proved unless the proof is too complex or not necessary for a good understanding of the results. In the latter cases, suitable references are systematically provided. The first part pertains on the representation, analysis and control of LPV systems along with a reminder on robust analysis and control techniques. The second part is concerned with the representation and analysis of time-delay systems using various time-domain techniques. The third and last part is devoted to the representation, analysis, observation, filtering and control of LPV time-delay systems. The book also presents many important basic and advanced results on the manipulation of LMIs.

Time Delay Systems: Methods, Applications and New Trends

Time Delay Systems: Methods, Applications and New Trends
A Book

by Rifat Sipahi,Tomas Vyhlídal,Silviu-Iulian Niculescu,Pierdomenico Pepe

  • Publisher : Springer Science & Business Media
  • Release : 2012-02-24
  • Pages : 442
  • ISBN : 3642252206
  • Language : En, Es, Fr & De
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This volume is concerned with the control and dynamics of time delay systems; a research field with at least six-decade long history that has been very active especially in the past two decades. In parallel to the new challenges emerging from engineering, physics, mathematics, and economics, the volume covers several new directions including topology induced stability, large-scale interconnected systems, roles of networks in stability, and new trends in predictor-based control and consensus dynamics. The associated applications/problems are described by highly complex models, and require solving inverse problems as well as the development of new theories, mathematical tools, numerically-tractable algorithms for real-time control. The volume, which is targeted to present these developments in this rapidly evolving field, captures a careful selection of the most recent papers contributed by experts and collected under five parts: (i) Methodology: From Retarded to Neutral Continuous Delay Models, (ii) Systems, Signals and Applications, (iii): Numerical Methods, (iv) Predictor-based Control and Compensation, and (v) Networked Control Systems and Multi-agent Systems.

Control Strategy for Time-Delay Systems

Control Strategy for Time-Delay Systems
Part II: Engineering Applications

by Mohammad-Hassan Khooban,Tomislav Dragicevic

  • Publisher : Academic Press
  • Release : 2020-11-27
  • Pages : 306
  • ISBN : 032385804X
  • Language : En, Es, Fr & De
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Control Strategy for Time-Delay Systems

PID Controllers for Time-Delay Systems

PID Controllers for Time-Delay Systems
A Book

by Guillermo J. Silva,Aniruddha Datta,Shankar P. Bhattacharyya

  • Publisher : Springer Science & Business Media
  • Release : 2007-12-22
  • Pages : 330
  • ISBN : 9780817644239
  • Language : En, Es, Fr & De
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Filling a gap in the literature, this book is a presentation of recent results in the field of PID controllers, including their design, analysis, and synthesis. Emphasis is placed on the efficient computation of the entire set of PID controllers achieving stability and various performance specifications, which is important for the development of future software design packages, as well as further capabilities such as adaptive PID design and online implementation. The results presented here are timely given the resurgence of interest in PID controllers and will find widespread application, specifically in the development of computationally efficient tools for PID controller design and analysis. Serving as a catalyst to bridge the theory--practice gap in the control field as well as the classical--modern gap, this monograph is an excellent resource for control, electrical, chemical, and mechanical engineers, as well as researchers in the field of PID controllers.

Semi-Discretization for Time-Delay Systems

Semi-Discretization for Time-Delay Systems
Stability and Engineering Applications

by Tamás Insperger,Gábor Stépán

  • Publisher : Springer Science & Business Media
  • Release : 2011-07-15
  • Pages : 174
  • ISBN : 9781461403357
  • Language : En, Es, Fr & De
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This book presents the recently introduced and already widely referred semi-discretization method for the stability analysis of delayed dynamical systems. Delay differential equations often come up in different fields of engineering, like feedback control systems, machine tool vibrations, balancing/stabilization with reflex delay. The behavior of such systems is often counter-intuitive and closed form analytical formulas can rarely be given even for the linear stability conditions. If parametric excitation is coupled with the delay effect, then the governing equation is a delay differential equation with time periodic coefficients, and the stability properties are even more intriguing. The semi-discretization method is a simple but efficient method that is based on the discretization with respect to the delayed term and the periodic coefficients only. The method can effectively be used to construct stability diagrams in the space of system parameters.

Time-Delay Systems

Time-Delay Systems
Lyapunov Functionals and Matrices

by Vladimir Kharitonov

  • Publisher : Springer Science & Business Media
  • Release : 2012-09-18
  • Pages : 311
  • ISBN : 0817683666
  • Language : En, Es, Fr & De
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Stability is one of the most studied issues in the theory of time-delay systems, however the corresponding chapters of published volumes on time-delay systems do not include a comprehensive study of a counterpart of classical Lyapunov theory for linear delay free systems. The principal goal of the book is to fill this gap, and to provide readers with a systematic and exhaustive treatment of the basic concepts of the Lyapunov-Krasovskii approach to the stability analysis of linear time-delay systems.​ Time-Delay Systems: Lyapunov Functionals and Matrices​ will be of great use and interest to researchers and graduate students in automatic control and applied mathematics as well as practicing engineers involved in control system design.​

Mastering Frequency Domain Techniques for the Stability Analysis of LTI Time Delay Systems

Mastering Frequency Domain Techniques for the Stability Analysis of LTI Time Delay Systems
A Book

by Rifat Sipahi

  • Publisher : SIAM
  • Release : 2019-05-21
  • Pages : 172
  • ISBN : 1611975727
  • Language : En, Es, Fr & De
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In many dynamical systems, time delays arise because of the time it takes to measure system states, perceive and evaluate events, formulate decisions, and act on those decisions. The presence of delays may lead to undesirable outcomes; without an engineered design, the dynamics may underperform, oscillate, and even become unstable. How to study the stability of dynamical systems influenced by time delays is a fundamental question. Related issues include how much time delay the system can withstand without becoming unstable and how to change system parameters to render improved dynamic characteristics, utilize or tune the delay itself to improve dynamical behavior, and assess the stability and speed of response of the dynamics. Mastering Frequency Domain Techniques for the Stability Analysis of LTI Time Delay Systems addresses these questions for linear time-invariant (LTI) systems with an eigenvalue-based approach built upon frequency domain techniques. Readers will find key results from the literature, including all subtopics for those interested in deeper exploration. The book presents step-by-step demonstrations of all implementations?including those that require special care in mathematics and numerical implementation?from the simpler, more intuitive ones in the introductory chapters to the more complex ones found in the later chapters. Maple and MATLAB code is available from the author?s website. This multipurpose book is intended for graduate students, instructors, and researchers working in control engineering, robotics, mechatronics, network control systems, human-in-the-loop systems, human-machine systems, remote control and tele-operation, transportation systems, energy systems, and process control, as well as for those working in applied mathematics, systems biology, and physics. It can be used as a primary text in courses on stability and control of time delay systems and as a supplementary text in courses in the above listed domains.

Power System Wide-area Stability Analysis and Control

Power System Wide-area Stability Analysis and Control
A Book

by Jing Ma

  • Publisher : John Wiley & Sons
  • Release : 2018-05-10
  • Pages : 368
  • ISBN : 1119304865
  • Language : En, Es, Fr & De
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An essential guide to the stability and control of power systems integrating large-scale renewable energy sources The rapid development of smart grids and the integration of large scale renewable energy have added daunting new layers of complexity to the long-standing problem of power system stability control. This book offers a systematic stochastic analysis of these nonlinear problems and provides comprehensive countermeasures to improve power system performance and control with large-scale, hybrid power systems. Power system stability analysis and control is by no means a new topic. But the integration of large scale renewable energy sources has added many new challenges which must be addressed, especially in the areas of time variance, time delay, and uncertainties. Robust, adaptive control strategies and countermeasures are the key to avoiding inadequate, excessive, or lost loads within hybrid power systems. Written by an internationally recognized innovator in the field this book describes the latest theory and methods for handling power system angle stability within power networks. Dr. Jing Ma analyzes and provides control strategies for large scale power systems and outlines state-of-the-art solutions to the entire range of challenges facing today’s power systems engineers. Features nonlinear, stochastic analysis of power system stability and control Offers proven countermeasures to optimizing power system performance Focuses on nonlinear time-variance, long time-delays, high uncertainties and comprehensive countermeasures Emphasizes methods for analyzing and addressing time variance and delay when integrating large-scale renewable energy Includes rigorous algorithms and simulations for the design of analysis and control modeling Power System Wide-area Stability Analysis and Control is must-reading for researchers studying power system stability analysis and control, engineers working on power system dynamics and stability, and graduate students in electrical engineering interested in the burgeoning field of smart, wide-area power systems.

Stability Analysis and Robust Control of Time-Delay Systems

Stability Analysis and Robust Control of Time-Delay Systems
A Book

by Min Wu,Yong He,Jin-Hua She

  • Publisher : Springer Science & Business Media
  • Release : 2010-11-04
  • Pages : 335
  • ISBN : 3642030378
  • Language : En, Es, Fr & De
GET BOOK

"Stability Analysis and Robust Control of Time-Delay Systems" focuses on essential aspects of this field, including the stability analysis, stabilization, control design, and filtering of various time-delay systems. Primarily based on the most recent research, this monograph presents all the above areas using a free-weighting matrix approach first developed by the authors. The effectiveness of this method and its advantages over other existing ones are proven theoretically and illustrated by means of various examples. The book will give readers an overview of the latest advances in this active research area and equip them with a pioneering method for studying time-delay systems. It will be of significant interest to researchers and practitioners engaged in automatic control engineering. Prof. Min Wu, senior member of the IEEE, works at the Central South University, China.

Limits of Stability and Stabilization of Time-Delay Systems

Limits of Stability and Stabilization of Time-Delay Systems
A Small-Gain Approach

by Jing Zhu,Tian Qi,Dan Ma,Jie Chen

  • Publisher : Springer
  • Release : 2018-02-05
  • Pages : 219
  • ISBN : 3319736515
  • Language : En, Es, Fr & De
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This authored monograph presents a study on fundamental limits and robustness of stability and stabilization of time-delay systems, with an emphasis on time-varying delay, robust stabilization, and newly emerged areas such as networked control and multi-agent systems. The authors systematically develop an operator-theoretic approach that departs from both the traditional algebraic approach and the currently pervasive LMI solution methods. This approach is built on the classical small-gain theorem, which enables the author to draw upon powerful tools and techniques from robust control theory. The book contains motivating examples and presents mathematical key facts that are required in the subsequent sections. The target audience primarily comprises researchers and professionals in the field of control theory, but the book may also be beneficial for graduate students alike.