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2017 | Book

Control Synthesis of Switched Systems

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About this book

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.

Table of Contents

Frontmatter
Chapter 1. Introduction
Abstract
Switched systems provide a unified framework for mathematical modeling of many physical or man-made systems displaying switching features such as power electronics, flight control systems, and network control systems. The systems consists of a collection of indexed differential or difference equations and a switching signal governing the switching among them. The various switching signals differentiate switched systems from the general time-varying systems, because the solutions of the former are dependent on not only the system’s initial conditions but also the switching signals.
Xudong Zhao, Yonggui Kao, Ben Niu, Tingting Wu
Chapter 2. Stabilization of Switched Linear Systems with Stable Subsystems
Abstract
In a certain sense, switching signals in systems can be classified into autonomous (uncontrolled) or controlled ones [1, 2], which respectively, result from the system itself and the designers’ intervention [3].
Xudong Zhao, Yonggui Kao, Ben Niu, Tingting Wu
Chapter 3. Switching Stabilization of Switched Systems Composed of Unstable Subsystems
Abstract
As mentioned in Chap. 2, for a switched system, even all its subsystems are stable, it may fail to preserve stability under arbitrary switching, but may be stable under restricted switching signals. Therefore, it is of significance to study the controlled-switching stabilization problems of switched systems. The controlled switching may result from the physical constraints of a system or the designers’ intervention [1] which is actually related to the controlled-switching stabilization problem [2]. Generally, the controlled switching in systems could be classified into state-dependent and time-constrained ones.
Xudong Zhao, Yonggui Kao, Ben Niu, Tingting Wu
Chapter 4. Adaptive Control of Switched Nonlinear Systems
Abstract
It has been shown in Ye, Neurocomputing 71:3373–3378 (2008), Yu, et al., Neurocomputing 156:245–251 (2015), Peng, et al., Neurocomputing 149:132–141 (2015), Miao, Neurocomputing 111:184–189 (2013), Xu, Neurocomputing 154:337–346 (2015), [15] that the adaptive backstepping technique is a powerful tool which has been widely used to solve some complex optimization problems and applied in the fields of industry and engineering.
Xudong Zhao, Yonggui Kao, Ben Niu, Tingting Wu
Chapter 5. Adaptive Control of Switched Stochastic Nonlinear Systems
Abstract
The last chapter has discussed adaptive control design methods for switched nonlinear systems with uncertainties.
Xudong Zhao, Yonggui Kao, Ben Niu, Tingting Wu
Chapter 6. Output Tracking Control of Constrained Switched Nonlinear Systems
Abstract
Control systems often suffer from various limits or constraints in the operation space [1, 2], which may arise out of performance requirements or physical constraints imposed on the system by its environmental regulations.
Xudong Zhao, Yonggui Kao, Ben Niu, Tingting Wu
Chapter 7. Conclusions and Future Study Directions
Abstract
Control synthesis of switched systems is always a hot study topic in the control field for its significance of both theory aspect and practical application. In the past few years, some control problems of switched systems have been successfully solved, but there still are quite many interesting topics deserving further investigation; some of them have been considered in the book.
Xudong Zhao, Yonggui Kao, Ben Niu, Tingting Wu
Metadata
Title
Control Synthesis of Switched Systems
Authors
Xudong Zhao
Yonggui Kao
Ben Niu
Tingting Wu
Copyright Year
2017
Electronic ISBN
978-3-319-44830-5
Print ISBN
978-3-319-44828-2
DOI
https://doi.org/10.1007/978-3-319-44830-5