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Robust Control of Linear Descriptor Systems

  • Book
  • © 2017

Overview

Authors:
  1. Yu Feng

    1. Information Engineering College, Zhejiang University of Technology Information Engineering College, Hangzhou, China

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  2. Mohamed Yagoubi

    1. Ecole des Mines de Nantes , Nantes, France

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    You can also search for this author in PubMed   Google Scholar

  • Provides a uniformed way to handle unstable and nonproper weighing filters
  • Explicitly exhibits the control's structure achieving stabilization under weights
  • Covers different applications of the descriptor framework for solving sensitivity constrained linear optimal control
  • Includes supplementary material: sn.pub/extras

Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 102)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xi
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  2. Introduction

    • Yu Feng, Mohamed Yagoubi
    Pages 1-6

  3. Linear Time-Invariant Descriptor Systems

    • Yu Feng, Mohamed Yagoubi
    Pages 7-22

  4. Dilated Linear Matrix Inequalities

    • Yu Feng, Mohamed Yagoubi
    Pages 23-43

  5. Dissipative Control Under Output Regulation

    • Yu Feng, Mohamed Yagoubi
    Pages 45-59

  6. Admissibility with Unstable and Nonproper Weights

    • Yu Feng, Mohamed Yagoubi
    Pages 61-83

  7. Performance with Unstable and Nonproper Weights

    • Yu Feng, Mohamed Yagoubi
    Pages 85-103

  8. Parametric Sensitivity Constrained LQ Control

    • Yu Feng, Mohamed Yagoubi
    Pages 105-118

  9. Concluding Remarks

    • Yu Feng, Mohamed Yagoubi
    Pages 119-120

  10. Back Matter

    Pages 121-142
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Keywords

About this book

This book develops original results regarding singular dynamic systems following two different paths. The first consists of generalizing results from classical state-space cases to linear descriptor systems, such as dilated linear matrix inequality (LMI) characterizations for descriptor systems and performance control under regulation constraints. The second is a new path, which considers descriptor systems as a powerful tool for conceiving new control laws, understanding and deciphering some controller’s architecture and even homogenizing different—existing—ways of obtaining some new and/or known results for state-space systems. The book also highlights the comprehensive control problem for descriptor systems as an example of using the descriptor framework in order to transform a non-standard control problem into a classic stabilization control problem. In another section, an accurate solution is derived for the sensitivity constrained linear optimal control also using the descriptor framework. The book is intended for graduate and postgraduate students, as well as researchers in the field of systems and control theory.
 


Reviews

“This is a very interesting book. It is a well written and easy to follow. It does require the readers to know some basics of advanced control system theory … .  The book can be used by postgraduate students and researchers who are interested in linear descriptor systems.” (Bing Chu,Mathematical Reviews, April, 2018)

Authors and Affiliations

  • Information Engineering College, Zhejiang University of Technology Information Engineering College, Hangzhou, China

    Yu Feng

  • Ecole des Mines de Nantes , Nantes, France

    Mohamed Yagoubi

About the authors

Feng Yu is a professor at Information Engineering College, Zhejiang University of Technology, China. He received his Ph.D. from Ecole des Mines de Nantes, France, in 2011. He has been listed in the Qianjiang Talent Plan since 2013 by the Zhejiang Province Human Resources and Social Security Bureau and as an entitled Qianjiang Distinguished Professor by the Department of Education of Zhejiang Province, China since 2015.
 
Yagoubi Mohamed is an associate professor at the Department of Automatic Control, Production and Computing, Ecole des Mines de Nantes. He is a member of the Control Research team at the Institut de Recherche et Communication et Cybernétique de Nantes (IRCCyN).
 



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