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Advanced Topics in Control and Estimation of State-Multiplicative Noisy Systems

  • Book
  • © 2013

Overview

Authors:
  1. Eli Gershon

    1. , Department of Electrical, Holon Institute of Technology, Holon, Israel

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    You can also search for this author in PubMed   Google Scholar

  2. Uri Shaked

    1. , School of Electrical Engineering, Tel Aviv University, Ramat Aviv, Israel

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Provides the reader with a coherent, structured account of state-multiplicative noisy systems drawn from many sources
  • Deals with research topics unavailable elsewhere in the literature of control theory
  • Demonstrates practical control engineering examples from various areas of the discipline to illustrate the relevance of the theoretical development

Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 439)

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Table of contents (13 chapters)

  1. Front Matter

    Pages 1-11
    Download chapter PDF

  2. Introduction

    • Eli Gershon, Uri Shaked
    Pages 1-19

  3. Time Delay Systems – H  ∞  Control and General-Type Filtering

    • Eli Gershon, Uri Shaked
    Pages 21-60

  4. Reduced-Order H  ∞  Output-Feedback Control

    • Eli Gershon, Uri Shaked
    Pages 61-74

  5. Tracking Control with Preview

    • Eli Gershon, Uri Shaked
    Pages 75-93

  6. H  ∞  Control and Estimation of Retarded Linear Discrete-Time Systems

    • Eli Gershon, Uri Shaked
    Pages 95-113

  7. H  ∞ -Like Control for Nonlinear Stochastic Systems

    • Eli Gershon, Uri Shaked
    Pages 115-128

  8. Non Linear Systems - H  ∞ -Type Estimation

    • Eli Gershon, Uri Shaked
    Pages 129-138

  9. Non Linear Systems – Measurement Output-Feedback Control

    • Eli Gershon, Uri Shaked
    Pages 139-154

  10. l 2-Gain and Robust SF Control of Discrete-Time NL Stochastic Systems

    • Eli Gershon, Uri Shaked
    Pages 155-163

  11. H  ∞  Output-Feedback Control of Discrete-Time Systems

    • Eli Gershon, Uri Shaked
    Pages 165-176

  12. H  ∞  Control of Stochastic Switched Systems with Dwell Time

    • Eli Gershon, Uri Shaked
    Pages 177-191

  13. Robust L  ∞ -Induced Control and Filtering

    • Eli Gershon, Uri Shaked
    Pages 193-202

  14. Applications

    • Eli Gershon, Uri Shaked
    Pages 203-217

  15. Back Matter

    Pages 219-250
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Keywords

About this book

Advanced Topics in Control and Estimation of State-Multiplicative Noisy Systems begins with an introduction and extensive literature survey. The text proceeds to cover the field of H∞ time-delay linear systems where the issues of stability and L2−gain are presented and solved for nominal and uncertain stochastic systems, via the input-output approach. It presents solutions to the problems of state-feedback, filtering, and measurement-feedback control for these systems, for both the continuous- and the discrete-time settings. In the continuous-time domain, the problems of reduced-order and preview tracking control are also presented and solved. The second part of the monograph concerns non-linear stochastic state- multiplicative systems and covers the issues of stability, control and estimation of the systems in the H∞ sense, for both continuous-time and discrete-time cases. The book also describes special topics such as stochastic switched systems with dwell time and peak-to-peak filtering of nonlinear stochastic systems. The reader is introduced to six practical engineering- oriented examples of noisy state-multiplicative control and filtering problems for linear and nonlinear systems. The book is rounded out by a three-part appendix containing stochastic tools necessary for a proper appreciation of the text: a basic introduction to stochastic control processes, aspects of linear matrix inequality optimization, and MATLAB codes for solving the L2-gain and state-feedback control problems of stochastic switched systems with dwell-time. Advanced Topics in Control and Estimation of State-Multiplicative Noisy Systems will be of interest to engineers engaged in control systems research and development, to graduate students specializing in stochastic control theory, and to applied mathematicians interested in control problems. The reader is expected to have some acquaintance with stochastic control theory and state-space-based optimal control theory andmethods for linear and nonlinear systems.

Reviews

From the reviews:

“This book is about control and estimation of state-multiplicative noisy systems … . The systems consider in this book is extended to various ones with state dependent noise. The book contains five parts. … Some Matlab codes for solving the systems given in examples are supplied in Appendix C, which will be helpful for readers to try to give some simulation. The book is suitable for graduate students and engineers.” (Kai Wang, zbMATH, Vol. 1276, 2014)

Authors and Affiliations

  • , Department of Electrical, Holon Institute of Technology, Holon, Israel

    Eli Gershon

  • , School of Electrical Engineering, Tel Aviv University, Ramat Aviv, Israel

    Uri Shaked

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