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Control Theory for Linear Systems

  • Book
  • © 2001

Overview

Authors:
  1. Harry L. Trentelman

    1. Department of Mathematics, University of Groningen, Groningen, The Netherlands

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  2. Anton A. Stoorvogel

    1. Department of Mathematics and Computing Science, Eindhoven University of Technology, Eindhoven, The Netherlands

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  3. Malo Hautus

    1. Department of Mathematics and Computing Science, Eindhoven University of Technology, Eindhoven, The Netherlands

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  • The connection of geometric control theory to H2 and H-infinity optimal control theory provides an additional insight for the reader
  • The authors have all contributed at different times to the development of the theory presented in the book: Malo Hautus was involved in the development of the fundamental concepts of linear system theory. Harry Trentelman was a major contributor to the development of almost invariant subspaces, and Anton Stoorvogel helped to establish the connection between geometric control and H2 and H-infinity optimal control

Part of the book series: Communications and Control Engineering (CCE)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xv
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  2. Introduction

    • Harry L. Trentelman, Anton A. Stoorvogel, Malo Hautus
    Pages 1-14

  3. Mathematical preliminaries

    • Harry L. Trentelman, Anton A. Stoorvogel, Malo Hautus
    Pages 15-35

  4. Systems with inputs and outputs

    • Harry L. Trentelman, Anton A. Stoorvogel, Malo Hautus
    Pages 37-73

  5. Controlled invariant subspaces

    • Harry L. Trentelman, Anton A. Stoorvogel, Malo Hautus
    Pages 75-106

  6. Conditioned invariant Subspaces

    • Harry L. Trentelman, Anton A. Stoorvogel, Malo Hautus
    Pages 107-124

  7. (C, A, B)-pairs and dynamic feedback

    • Harry L. Trentelman, Anton A. Stoorvogel, Malo Hautus
    Pages 125-151

  8. System zeros and the weakly unobservable subspace

    • Harry L. Trentelman, Anton A. Stoorvogel, Malo Hautus
    Pages 153-173

  9. System invertibility and the strongly reachable subspace

    • Harry L. Trentelman, Anton A. Stoorvogel, Malo Hautus
    Pages 175-193

  10. Tracking and regulation

    • Harry L. Trentelman, Anton A. Stoorvogel, Malo Hautus
    Pages 195-209

  11. Linear quadratic optimal control

    • Harry L. Trentelman, Anton A. Stoorvogel, Malo Hautus
    Pages 211-235

  12. The H 2 optimal control problem

    • Harry L. Trentelman, Anton A. Stoorvogel, Malo Hautus
    Pages 237-261

  13. H ∞ control and robustness

    • Harry L. Trentelman, Anton A. Stoorvogel, Malo Hautus
    Pages 263-291

  14. The state feedback H ∞ control problem

    • Harry L. Trentelman, Anton A. Stoorvogel, Malo Hautus
    Pages 293-308

  15. The H ∞control problem with measurement feedback

    • Harry L. Trentelman, Anton A. Stoorvogel, Malo Hautus
    Pages 309-329

  16. Some applications of theH ∞control problem

    • Harry L. Trentelman, Anton A. Stoorvogel, Malo Hautus
    Pages 331-363

  17. Back Matter

    Pages 365-389
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Keywords

About this book

Control Theory for Linear Systems deals with the mathematical theory of feedback control of linear systems. It treats a wide range of control synthesis problems for linear state space systems with inputs and outputs. The book provides a treatment of these problems using state space methods, often with a geometric flavour. Its subject matter ranges from controllability and observability, stabilization, disturbance decoupling, and tracking and regulation, to linear quadratic regulation, H2 and H-infinity control, and robust stabilization. Each chapter of the book contains a series of exercises, intended to increase the reader's understanding of the material. Often, these exercises generalize and extend the material treated in the regular text.

Authors and Affiliations

  • Department of Mathematics, University of Groningen, Groningen, The Netherlands

    Harry L. Trentelman

  • Department of Mathematics and Computing Science, Eindhoven University of Technology, Eindhoven, The Netherlands

    Anton A. Stoorvogel, Malo Hautus

Bibliographic Information

  • Book Title: Control Theory for Linear Systems

  • Authors: Harry L. Trentelman, Anton A. Stoorvogel, Malo Hautus

  • Series Title: Communications and Control Engineering

  • DOI: https://doi.org/10.1007/978-1-4471-0339-4

  • Publisher: Springer London

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag London 2001

  • Hardcover ISBN: 978-1-85233-316-4Published: 26 January 2001

  • Softcover ISBN: 978-1-4471-1073-6Published: 05 November 2012

  • eBook ISBN: 978-1-4471-0339-4Published: 06 December 2012

  • Series ISSN: 0178-5354

  • Series E-ISSN: 2197-7119

  • Edition Number: 1

  • Number of Pages: XVI, 389

  • Topics: Control, Robotics, Mechatronics, Mechanical Engineering, Systems Theory, Control

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