Robust Control of Linear Descriptor Systems

  • Yu Feng
  • Mohamed Yagoubi

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

Table of contents

  1. Front Matter
    Pages i-xi
  2. Yu Feng, Mohamed Yagoubi
    Pages 1-6
  3. Yu Feng, Mohamed Yagoubi
    Pages 7-22
  4. Yu Feng, Mohamed Yagoubi
    Pages 23-43
  5. Yu Feng, Mohamed Yagoubi
    Pages 45-59
  6. Yu Feng, Mohamed Yagoubi
    Pages 61-83
  7. Yu Feng, Mohamed Yagoubi
    Pages 85-103
  8. Yu Feng, Mohamed Yagoubi
    Pages 105-118
  9. Yu Feng, Mohamed Yagoubi
    Pages 119-120
  10. Back Matter
    Pages 121-142

About this book

Introduction

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.
 

Keywords

Sensitivity Constrained Linear Control Control Problems Unstable and Nonproper Weights LMIs Optimal Control

Authors and affiliations

  • Yu Feng
    • 1
  • Mohamed Yagoubi
    • 2
  1. 1.Information Engineering CollegeZhejiang University of Technology Information Engineering CollegeHangzhouChina
  2. 2.Ecole des Mines de Nantes NantesFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-10-3677-4
  • Copyright Information Springer Nature Singapore Pte Ltd. 2017
  • Publisher Name Springer, Singapore
  • eBook Packages Engineering
  • Print ISBN 978-981-10-3676-7
  • Online ISBN 978-981-10-3677-4
  • Series Print ISSN 2198-4182
  • Series Online ISSN 2198-4190
  • About this book