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Stabilization and H∞ Control of Switched Dynamic Systems

  • Book
  • © 2021

Overview

Authors:
  1. Jun Fu

    1. The State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China

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  2. Ruicheng Ma

    1. School of Mathematics, Liaoning University, Shenyang, China

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  • Addresses the finite-time stabilization and H8 control of switched systems
  • Offers state-of-the-art analysis and synthesis methods
  • Written by respected experts in the field

Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 310)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Introduction

    • Jun Fu, Ruicheng Ma
    Pages 1-19

  3. Global Finite-Time Stabilization of Switched Nonlinear Systems in Lower-Triangular Form

    • Jun Fu, Ruicheng Ma
    Pages 21-34

  4. Global Finite-Time Stabilization of Switched Nonlinear Systems with the Powers of Positive Odd Rational Numbers

    • Jun Fu, Ruicheng Ma
    Pages 35-66

  5. Global Finite-Time Stabilization of Switched Nonlinear Systems in Non-triangular Form

    • Jun Fu, Ruicheng Ma
    Pages 67-80

  6. Adaptive Finite-Time Stabilization of Uncertain Nonlinear Systems via Logic-Based Switchings

    • Jun Fu, Ruicheng Ma
    Pages 81-95

  7. Dwell-Time-Based Standard \(H_\infty \) Control of Switched Systems Without Requiring Internal Stability of Subsystems

    • Jun Fu, Ruicheng Ma
    Pages 97-127

  8. Observers Design for Unknown Inputs Switched Linear Systems Without Requiring Strong Detectability of Subsystems

    • Jun Fu, Ruicheng Ma
    Pages 129-158

  9. Conclusions

    • Jun Fu, Ruicheng Ma
    Pages 159-161
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Keywords

About this book

This book presents several novel constructive methodologies for global stabilization and H-infinity control in switched dynamic systems by using the systems’ structure information. The main features of these new approaches are twofold: i) Novel Lyapunov functions are constructed and new switching strategies are designed to guarantee global finite-time stabilization of the closed-loop switched dynamic systems,while ii) without posing any internal stability requirements on subsystems, the standard H-infinity control problem of the switched dynamic systems is solved by means of dwell-time switching techniques. Systematically presenting constructive methods for analyzing and synthesizing switched systems, the content is of great significance to theoretical research and practical applications involving switched systems alike.  


The book provides a unified framework for stability analysis, stabilization and H-infinity control of switched systems, making it a valuable resource for researchers and graduate students who want to learn about the state of the art in the analysis and synthesis of switched systems, as well as recent advances in switched linear systems. In addition, it offers a wealth of cutting-edge constructive methods and algorithm designs for researchers who work with switched dynamic systems and graduate students of control theory and control engineering. 


Reviews

“Each chapter has its own list of references. The book contains mathematical results and simulations based, in general, on examples having academic character. … It is nevertheless interesting and stimulating for mathematical and theoretical engineering research.” (Vladimir Răsvan, zbMATH 1461.93003, 2021)

Authors and Affiliations

  • The State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China

    Jun Fu

  • School of Mathematics, Liaoning University, Shenyang, China

    Ruicheng Ma

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