Switched Linear Systems

This deficiency is resolved by this book which features: nucleus of constructive design approaches based on canonical decomposition and forming a sound basis for the systematic treatment of secondary results; theoretical exploration and ...

Switched Linear Systems

Author: Zhendong Sun

Publisher: Springer Science & Business Media

ISBN: 1846281318

Page: 288

View: 487

Switched linear systems have enjoyed a particular growth in interest since the 1990s. The large amount of data and ideas thus generated have, until now, lacked a co-ordinating framework to focus them effectively on some of the fundamental issues such as the problems of robust stabilizing switching design, feedback stabilization and optimal switching. This deficiency is resolved by this book which features: nucleus of constructive design approaches based on canonical decomposition and forming a sound basis for the systematic treatment of secondary results; theoretical exploration and logical association of several independent but pivotal concerns in control design as they pertain to switched linear systems: controllability and observability, feedback stabilization, optimization and periodic switching; a reliable foundation for further theoretical research as well as design guidance for real life engineering applications through the integration of novel ideas, fresh insights and rigorous results.

Time Dependent Switched Discrete Time Linear Systems Control and Filtering

This book focuses on the basic control and filtering synthesis problems for discrete-time switched linear systems under time-dependent switching signals.

Time Dependent Switched Discrete Time Linear Systems  Control and Filtering

Author: Lixian Zhang

Publisher: Springer

ISBN: 3319288504

Page: 258

View: 146

This book focuses on the basic control and filtering synthesis problems for discrete-time switched linear systems under time-dependent switching signals. Chapter 1, as an introduction of the book, gives the backgrounds and motivations of switched systems, the definitions of the typical time-dependent switching signals, the differences and links to other types of systems with hybrid characteristics and a literature review mainly on the control and filtering for the underlying systems. By summarizing the multiple Lyapunov-like functions (MLFs) approach in which different requirements on comparisons of Lyapunov function values at switching instants, a series of methodologies are developed for the issues on stability and stabilization, and l2-gain performance or tube-based robustness for l∞ disturbance, respectively, in Chapters 2 and 3. Chapters 4 and 5 are devoted to the control and filtering problems for the time-dependent switched linear systems with either polytopic uncertainties or measurable time-varying parameters in different sense of disturbances. The asynchronous switching problem, where there is time lag between the switching of the currently activated system mode and the controller/filter to be designed, is investigated in Chapter 6. The systems with various time delays under typical time-dependent switching signals are addressed in Chapter 7.

A New Switching Strategy Design for Uncertain Switched Linear Systems Based on Min projection Strategy in Guaranteed Cost Control Problem

An effective way to deal with uncertainties in control of uncertain switched linear systems is so-called guaranteed cost control (GCC). Existing works on the GCC of these systems only provide asymptotical stability analysis.

A New Switching Strategy Design for Uncertain Switched Linear Systems Based on Min projection Strategy in Guaranteed Cost Control Problem

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An effective way to deal with uncertainties in control of uncertain switched linear systems is so-called guaranteed cost control (GCC). Existing works on the GCC of these systems only provide asymptotical stability analysis. This paper focuses on the GCC to provide exponential stability in these systems. To this end, we design a new switching strategy and a state-feedback controller to exponentially stabilize the GCC of continuous-time switched linear systems with norm-bounded uncertainties. First, a new switching strategy is designed based on the common Lyapunov function technique and min-projection strategy. Second, a sufficient condition on the existence of proposed switching strategy is presented in the form of linear matrix inequalities. It is proved that the system to be exponentially stable under applying this switching strategy and guaranteed cost value and convergence rate of states are calculated. Finally, some numerical examples and comparisons are performed.

Switching in Systems and Control

This book examines switched systems from a control-theoretic perspective, focusing on stability analysis and control synthesis of systems that combine continuous dynamics with switching events.

Switching in Systems and Control

Author: Daniel Liberzon

Publisher: Springer Science & Business Media

ISBN: 1461200172

Page: 233

View: 753

The theory of switched systems is related to the study of hybrid systems, which has gained attention from control theorists, computer scientists, and practicing engineers. This book examines switched systems from a control-theoretic perspective, focusing on stability analysis and control synthesis of systems that combine continuous dynamics with switching events. It includes a vast bibliography and a section of technical and historical notes.

Switched Positive Linear Systems

Switched Positive Linear Systems studies the stability, performance evaluation, stabilization via switching control, and optimal control of (continuous-time and linear) positive switched systems.

Switched Positive Linear Systems

Author: Franco Blanchini

Publisher:

ISBN: 9781680830705

Page: 190

View: 160

Positive systems are an important class of systems that frequently arise in application areas, such as in the chemical process industry, electronic circuit design, communication networks, and biology. The study of the stability of such systems differs from standard systems in that the analysis focuses only on the trajectories generated under positivity constraints. Switched positive systems also arise in a variety of applications. Examples can be found in TCP congestion control, in processes described by non-homogeneous Markov chains, in image processing, in biochemical networks, and so on. In comparison to general switched systems, that have received a lot of attention in the past years, the theory for positive switched systems is still in its infancy. Switched Positive Linear Systems studies the stability, performance evaluation, stabilization via switching control, and optimal control of (continuous-time and linear) positive switched systems. It provides a review of the results that have already been established in the literature. Other results, especially those related to norm computation and optimization, are new and are presented integrated with previous ones. Switched Positive Linear Systems provides a comprehensive and timely introduction to the study of such systems. Readers who are new to the topic will find everything required to understand such systems in a concise and accessible form.

Switched Time Delay Systems

The material contained in this book is not only organized to focus on the new developments in the analysis and control methodologies for such switched time-delay systems, but it also integrates the impact of the delay factor on issues such ...

Switched Time Delay Systems

Author: Magdi S. Mahmoud

Publisher: Springer Science & Business Media

ISBN: 9781441963949

Page: 433

View: 777

In many practical applications we deal with a wide class of dynamical systems that are comprised of a family of continuous-time or discrete-time subsystems and a rule orchestrating the switching between the subsystems. This class of systems is frequently called switched system. Switched linear systems provide a framework that bridges the linear systems and the complex and/or uncertain systems. The mo- vation for investigating this class of systems is twofold: ?rst, it has an inherent multi-modal behavior in the sense that several dynamical subsystems are required to describe their behavior, which might depend on various environmental factors. Second, the methods of intelligent control systems are based on the idea of swit- ing between different controllers. Looked at in this light, switched systems provide an integral framework to deal with complex system behaviors such as chaos and multiple limit cycles and gain more insights into powerful tools such as intelligent control, adaptive control, and robust control. Switched systems have been inves- gated for a long time in the control and systems literature and have increasingly attracted more attention for the past three decades. The number of journal articles, books, and conference papers have grown exponentially and a number of fundam- tal concepts and powerful tools have been developed. It has been pointed out that switched systems have been studied from various viewpoints.

Control Synthesis of Switched Systems

This book offers its readers a detailed overview of the synthesis of switched systems, with a focus on switching stabilization and intelligent control.

Control Synthesis of Switched Systems

Author: Xudong Zhao

Publisher: Springer

ISBN: 3319448307

Page: 164

View: 670

This book offers its readers a detailed overview of the synthesis of switched systems, with a focus on switching stabilization and intelligent control. The problems investigated are not only previously unsolved theoretically but also of practical importance in many applications: voltage conversion, naval piloting and navigation and robotics, for example. The book considers general switched-system models and provides more efficient design methods to bring together theory and application more closely than was possible using classical methods. It also discusses several different classes of switched systems. For general switched linear systems and switched nonlinear systems comprising unstable subsystems, it introduces novel ideas such as invariant subspace theory and the time-scheduled Lyapunov function method of designing switching signals to stabilize the underlying systems. For some typical switched nonlinear systems affected by various complex dynamics, the book proposes novel design approaches based on intelligent control concepts. It is a useful source of up-to-date design methods and algorithms for researchers studying switched systems and graduate students of control theory and engineering. In addition, it is a valuable reference resource for practising engineers working in switched-system control design. Readers should have a basic knowledge of linear, nonlinear and switched systems.

Fault Tolerant Control for Switched Linear Systems

The research of FTC for switched linear systems is an interesting and meaningful
work. Many practical systems can be modeled as switched linear systems. The
introduction of switching mechanism leads to complicated system behaviors.

Fault Tolerant Control for Switched Linear Systems

Author: Dongsheng Du

Publisher: Springer

ISBN: 3319151622

Page: 180

View: 827

This book presents up-to-date research and novel methodologies on fault diagnosis and fault tolerant control for switched linear systems. It provides a unified yet neat framework of filtering, fault detection, fault diagnosis and fault tolerant control of switched systems. It can therefore serve as a useful textbook for senior and/or graduate students who are interested in knowing the state-of-the-art of filtering, fault detection, fault diagnosis and fault tolerant control areas, as well as recent advances in switched linear systems.

Optimal Control of Switched Systems with Application to Networked Embedded Control Systems

This thesis addresses optimal control of discrete-time switched linear systems with application to networked embedded control systems (NECSs).

Optimal Control of Switched Systems with Application to Networked Embedded Control Systems

Author: Daniel Görges

Publisher: Logos Verlag Berlin GmbH

ISBN: 3832530967

Page: 201

View: 217

This thesis addresses optimal control of discrete-time switched linear systems with application to networked embedded control systems (NECSs). Part I focuses on optimal control and scheduling of discrete-time switched linear systems. The objective is to simultaneously design a control law and a switching (scheduling) law such that a cost function is minimized. This optimization problem exhibits exponential complexity. Taming the complexity is a major challenge. Two novel methods are presented to approach this optimization problem: Receding-horizon control and scheduling relies on the receding horizon principle. The optimization problem is solved based on relaxed dynamic programming, allowing to reduce complexity by relaxing optimality within predefined bounds. The solution can be expressed as a piecewise linear (PWL) state feedback control law. Stability is addressed via an a priori stability condition based on a terminal weighting matrix and several a posteriori stability criteria based on constructing piecewise quadratic Lyapunov functions and on utilizing the cost function as a candidate Lyapunov function. Moreover, a region-reachability criterion is derived. Periodic control and scheduling relies on periodic control theory. Both offline and online scheduling are studied. The optimization problem is solved based on periodic control and exhaustive search. The online scheduling solution can again be expressed as a PWL state feedback control law. Stability is guaranteed inherently. Several methods are proposed to reduce the online complexity based on relaxation and heuristics. Part II focuses on optimal control and scheduling of NECSs. The NECS is modeled as a block-diagonal discrete-time switched linear system. Various control and scheduling codesign strategies are derived based on the methods from Part I regarding the structural properties of NECSs. The methods presented in Part I and II are finally evaluated in a case study.

Hybrid Dynamical Systems

This book is a collection of contributions defining the state of current knowledge and new trends in hybrid systems – systems involving both continuous dynamics and discrete events – as described by the work of several well-known groups ...

Hybrid Dynamical Systems

Author: Mohamed Djemai

Publisher: Springer

ISBN: 331910795X

Page: 332

View: 399

This book is a collection of contributions defining the state of current knowledge and new trends in hybrid systems – systems involving both continuous dynamics and discrete events – as described by the work of several well-known groups of researchers. Hybrid Dynamical Systems presents theoretical advances in such areas as diagnosability, observability and stabilization for various classes of system. Continuous and discrete state estimation and self-triggering control of nonlinear systems are advanced. The text employs various methods, among them, high-order sliding modes, Takagi–Sugeno representation and sampled-data switching to achieve its ends. The many applications of hybrid systems from power converters to computer science are not forgotten; studies of flexible-joint robotic arms and – as representative biological systems – the behaviour of the human heart and vasculature, demonstrate the wide-ranging practical significance of control in hybrid systems. The cross-disciplinary origins of study in hybrid systems are evident. Academic researchers and graduate students interested in hybrid and switched systems need look no further than Hybrid Dynamical Systems for a single source which will bring them up to date with work in this area from around the world.

Event triggered Control of Switched Linear Systems

Abstract: This paper presents an event-triggered sampling mechanism and develops a sampled-data-based stabilizer for switched linear systems. First of all, state estimators are designed for individual subsystems of the switched system.

Event triggered Control of Switched Linear Systems

Author:

Publisher:

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Abstract: This paper presents an event-triggered sampling mechanism and develops a sampled-data-based stabilizer for switched linear systems. First of all, state estimators are designed for individual subsystems of the switched system. Secondly, sampling is triggered only if the error between estimated state and sampled state violates a dynamic threshold, and a sampled-data-based controller is designed for the overall switched system to achieve stabilization provided that average dwell time conditions of the switched system are satisfied. Lastly, a numerical example is given to illustrate the effectiveness of the proposed method.

Stability Theory of Switched Dynamical Systems

Sun Z. A general robustness theorem for switched linear systems. In: Proc IEEE
ISIC; 2005. p. 8–11. Sun Z. Combined stabilizing strategies for switched linear
systems. IEEE Trans Autom Control. 2006;51(4):666–74. Sun Z. Stabilization and
 ...

Stability Theory of Switched Dynamical Systems

Author: Zhendong Sun

Publisher: Springer Science & Business Media

ISBN: 9780857292568

Page: 256

View: 104

There are plenty of challenging and interesting problems open for investigation in the field of switched systems. Stability issues help to generate many complex nonlinear dynamic behaviors within switched systems. The authors present a thorough investigation of stability effects on three broad classes of switching mechanism: arbitrary switching where stability represents robustness to unpredictable and undesirable perturbation, constrained switching, including random (within a known stochastic distribution), dwell-time (with a known minimum duration for each subsystem) and autonomously-generated (with a pre-assigned mechanism) switching; and designed switching in which a measurable and freely-assigned switching mechanism contributes to stability by acting as a control input. For each of these classes this book propounds: detailed stability analysis and/or design, related robustness and performance issues, connections to other control problems and many motivating and illustrative examples.

Jump Linear Systems in Automatic Control

Jump linear systems in automatic control examine the mathematical framework of hybrid stochastic systems to solve practical problems.

Jump Linear Systems in Automatic Control

Author: M. Mariton

Publisher: Courier Corporation

ISBN: 9780824782009

Page: 299

View: 580

Jump linear systems in automatic control examine the mathematical framework of hybrid stochastic systems to solve practical problems. This timely resource bring together widely scattered information in two appendices that cover the principles of deterministic systems theory and stochastic processes and control-offering a convenient source of foundational information!

Switching and Learning in Feedback Systems

... Maynooth, Ireland, September 8-10, 2003, Revised Lectures and Selected
Papers Roderick Murray-Smith Robert Shorten. Convex Cones, Lyapunov
Functions, and the Stability of Switched Linear Systems Robert Shorten, Oliver
Mason, ...

Switching and Learning in Feedback Systems

Author: Roderick Murray-Smith

Publisher: Springer Science & Business Media

ISBN: 3540244573

Page: 342

View: 651

This book presents the outcome of the European Summer School on Multi-agent Control, held in Maynooth, Ireland in September 2003. The past decade witnessed remarkable progress in the area of dynamic systems with the emergence of a number of powerful methods for both modeling and controlling uncertain dynamic systems. The first two parts of this book present tutorial lectures by leading researchers in the area introducing the reader to recent achievements on switching and control and on Gaussian processes. The third part is devoted to the presentation of original research contributions in the area; among the topics addressed are car control, bounding algorithms, networked control systems, the theory of linear systems, Bayesian modeling, and surveying multiagent systems.

Positive Systems

This volume contains the proceedings of the "Third Multidisciplinary Symposium on Positive Systems: Theory and Applications (POSTA09)" held in Valencia, Spain, September 2–4, 2009.

Positive Systems

Author: Rafael Bru

Publisher: Springer Science & Business Media

ISBN: 3642028934

Page: 398

View: 263

This volume contains the proceedings of the "Third Multidisciplinary Symposium on Positive Systems: Theory and Applications (POSTA09)" held in Valencia, Spain, September 2–4, 2009. This is the only world congress whose main topic is focused on this field.

Robust Control and Linear Parameter Varying Approaches

76. 77. 78. Sun, Z., Ge, S.: Sampling and control of switched linear systems. In:
Proceedings of the 41st IEEE Conference on Decision and Control, vol. 4, pp.
4413–4418 (2002) Sun, Z., Ge, S.S.: Switched Linear Systems. Control and
Design.

Robust Control and Linear Parameter Varying Approaches

Author: Olivier Sename

Publisher: Springer

ISBN: 3642361102

Page: 397

View: 452

Vehicles are complex systems (non-linear, multi-variable) where the abundance of embedded controllers should ensure better security. This book aims at emphasizing the interest and potential of Linear Parameter Varying methods within the framework of vehicle dynamics, e.g. proposed control-oriented model, complex enough to handle some system non linearities but still simple for control or observer design, take into account the adaptability of the vehicle's response to driving situations, to the driver request and/or to the road sollicitations, manage interactions between various actuators to optimize the dynamic behavior of vehicles. This book results from the 32th International Summer School in Automatic that held in Grenoble, France, in September 2011, where recent methods (based on robust control and LPV technics), then applied to the control of vehicle dynamics, have been presented. After some theoretical background and a view on some recent works on LPV approaches (for modelling, analysis, control, observation and diagnosis), the main emphasis is put on road vehicles but some illustrations are concerned with railway, aerospace and underwater vehicles. The main objective of the book is to demonstrate the value of this approach for controlling the dynamic behavior of vehicles. It presents, in a rm way, background and new results on LPV methods and their application to vehicle dynamics.

Hybrid Systems Computation and Control

This book constitutes the refereed proceedings of the 7th International Workshop on Hybrid Systems: Computation and Control, HSCC 2004, held in Philadelphia, PA, USA, in March 2004.

Hybrid Systems  Computation and Control

Author: Rajeev Alur

Publisher: Springer Science & Business Media

ISBN: 3540212590

Page: 674

View: 542

This book constitutes the refereed proceedings of the 7th International Workshop on Hybrid Systems: Computation and Control, HSCC 2004, held in Philadelphia, PA, USA, in March 2004. The 43 revised full papers presented together with an invited article were carefully reviewed and selected from 117 submissions. The papers address all current issues in hybrid systems such as tools for analysis and verification, control and optimization, modeling and engineering applications, and emerging topics in programming language support and implementation; a special focus is on the interplay between biomolecular networks, systems biology, formal methods, and control of hybrid systems.