Switching in Systems and Control

Switching in Systems and Control
Author: Daniel Liberzon
Publisher: Springer Science & Business Media
Total Pages: 232
Release: 2012-12-06
Genre: Science
ISBN: 1461200172

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.

Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering

Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering
Author: Lixian Zhang
Publisher: Springer
Total Pages: 268
Release: 2016-01-19
Genre: Technology & Engineering
ISBN: 3319288504

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.

Analysis and Synthesis of Switched Time-Delay Systems: The Average Dwell Time Approach

Analysis and Synthesis of Switched Time-Delay Systems: The Average Dwell Time Approach
Author: Dan Zhang
Publisher: Springer
Total Pages: 202
Release: 2018-09-01
Genre: Technology & Engineering
ISBN: 9811311293

This book, written by experts in the field, is based on the latest research on the analysis and synthesis of switched time-delay systems. It covers the stability, filtering, fault detection and control problems, which are studied using the average dwell time approach. It presents both the continuous-time and discrete-time systems and provides useful insights and methods, as well as practical algorithms that can be considered in other complex systems, such as neuron networks and genetic regulatory networks, making it a valuable resource for researchers, scientists and engineers in the field of system sciences and control communities.

Discrete-Time Markov Jump Linear Systems

Discrete-Time Markov Jump Linear Systems
Author: O.L.V. Costa
Publisher: Springer Science & Business Media
Total Pages: 287
Release: 2006-03-30
Genre: Mathematics
ISBN: 1846280826

This will be the most up-to-date book in the area (the closest competition was published in 1990) This book takes a new slant and is in discrete rather than continuous time

Analysis and Synthesis for Discrete-Time Switched Systems

Analysis and Synthesis for Discrete-Time Switched Systems
Author: Zhongyang Fei
Publisher: Springer
Total Pages: 212
Release: 2019-08-02
Genre: Technology & Engineering
ISBN: 3030258122

This book presents recent theoretical advances in the analysis and synthesis of discrete-time switched systems under the time-dependent switching scheme, including stability and disturbance attenuation performance analysis, control and filtering, asynchronous switching, finite-time analysis and synthesis, and reachable set estimation. It discusses time-scheduled technology, which can achieve a better performance and reduce conservatism compared with the traditional time-independent approach. Serving as a reference resource for researchers and engineers in the system and control community, it is also useful for graduate and undergraduate students interested in switched systems and their applications.

Switched Positive Linear Systems

Switched Positive Linear Systems
Author: Franco Blanchini
Publisher:
Total Pages: 190
Release: 2015-10-19
Genre: Computers
ISBN: 9781680830705

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.

Control Synthesis of Switched Systems

Control Synthesis of Switched Systems
Author: Xudong Zhao
Publisher: Springer
Total Pages: 172
Release: 2016-11-04
Genre: Technology & Engineering
ISBN: 3319448307

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.

Analysis and Synthesis of Delta Operator Systems with Actuator Saturation

Analysis and Synthesis of Delta Operator Systems with Actuator Saturation
Author: Hongjiu Yang
Publisher: Springer
Total Pages: 419
Release: 2019-04-02
Genre: Technology & Engineering
ISBN: 9811336601

This book presents basic research on delta operator systems (DOS) with actuator saturation. It proposes null controllable regions of delta operator systems, introduces the enlarging of the domain of attraction and analyzes the performance of DOSs subject to actuator saturation. It also discusses the domain of attraction on different systems in delta domain, and investigates the applications in complicated systems using delta operator approaches.

Advances in H∞ Control Theory

Advances in H∞ Control Theory
Author: Eli Gershon
Publisher: Springer
Total Pages: 312
Release: 2019-05-29
Genre: Technology & Engineering
ISBN: 3030160084

Advances in H∞ Control Theory is concerned with state-of-the-art developments in three areas: the extended treatment of mostly deterministic switched systems with dwell-time; the control of retarded stochastic state-multiplicative noisy systems; and a new approach to the control of biochemical systems, exemplified by the threonine synthesis and glycolytic pathways. Following an introduction and extensive literature survey, each of these major topics is the subject of an individual part of the book. The first two parts of the book contain several practical examples taken from various fields of control engineering including aircraft control, robot manipulation and process control. These examples are taken from the fields of deterministic switched systems and state-multiplicative noisy systems. The text is rounded out with short appendices covering mathematical fundamentals: σ-algebra and the input-output method for retarded systems. Advances in H∞ Control Theory is written for engineers engaged in control systems research and development, for applied mathematicians interested in systems and control and for graduate students specializing in stochastic control.

Analysis and Synthesis of Dynamic Systems with Positive Characteristics

Analysis and Synthesis of Dynamic Systems with Positive Characteristics
Author: Jun Shen
Publisher: Springer
Total Pages: 136
Release: 2017-03-27
Genre: Technology & Engineering
ISBN: 9811038805

This thesis develops several systematic and unified approaches for analyzing dynamic systems with positive characteristics or a more general cone invariance property. Based on these analysis results, it uses linear programming tools to address static output feedback synthesis problems with a focus on optimal gain performances. Owing to their low computational complexity, the established controller design algorithms are applicable for large-scale systems. The theory and control strategies developed will not only be useful in handling large-scale positive delay systems with improved solvability and at lower cost, but also further our understanding of the system characteristics in other related areas, such as distributed coordination of networked multi-agent systems, formation control of multiple robots.