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Mono- and Multivariable Control and Estimation

Linear, Quadratic and LMI Methods

  • Textbook
  • © 2011

Overview

Authors:
  1. Eric Ostertag

    1. Illkirch Cedex, France

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  • Features a large number of exercises, all given with their detailed solutions.
  • MATLAB programs, created by the author, are available on the Internet site of Springer and of MathWorks for downloading.
  • Revised translation and actualization of a successful French textbook, with extensions.
  • Includes supplementary material: sn.pub/extras

Part of the book series: Mathematical Engineering (MATHENGIN)

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Table of contents (10 chapters)

  1. Front Matter

    Pages 1-13
    Download chapter PDF

  2. State Space Control Design

    • Emeritus Eric Ostertag
    Pages 1-76

  3. Observer Theory

    • Emeritus Eric Ostertag
    Pages 77-128

  4. Optimal Control

    • Emeritus Eric Ostertag
    Pages 129-190

  5. Noisy Systems – Optimal Linear Filtering

    • Emeritus Eric Ostertag
    Pages 191-258

  6. Optimal Stochastic Control

    • Emeritus Eric Ostertag
    Pages 259-266

  7. Linear Matrix Inequalities

    • Emeritus Eric Ostertag
    Pages 267-290

  8. State Space Representations of Systems

    • Emeritus Eric Ostertag
    Pages 291-306

  9. Complements of Matrix Calculus

    • Emeritus Eric Ostertag
    Pages 307-318

  10. Review of Probability Theory

    • Emeritus Eric Ostertag
    Pages 319-332

  11. Simulation Diagrams

    • Emeritus Eric Ostertag
    Pages 333-336

  12. Back Matter

    Pages 350-350
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Keywords

About this book

This book presents the various design methods of a state-feedback control law and of an observer. The considered systems are of continuous-time and of discrete-time nature, monovariable or multivariable, the last ones being of main consideration. Three different approaches are described: • Linear design methods, with an emphasis on decoupling strategies, and a general formula for multivariable controller or observer design; • Quadratic optimization methods: Linear Quadratic Control (LQC), optimal Kalman filtering, Linear Quadratic Gaussian (LQG) control; • Linear matrix inequalities (LMIs) to solve linear and quadratic problems. The duality between control and observation is taken to advantage and extended up to the mathematical domain. A large number of exercises, all given with their detailed solutions, mostly obtained with MATLAB, reinforce and exemplify the practical orientation of this book. The programs, created by the author for their solving, are available on the Internet sites of Springer and of MathWorks for downloading. This book is targeted at students of Engineering Schools or Universities, at the Master’s level, at engineers desiring to design and implement innovative control methods, and at researchers.

Reviews

From the reviews:

“This book covers topics of two important courses at the graduate level … and thus fulfills the need for a single course. … A very useful feature of this book is the collection of large number of solved exercises with detailed solutions … . Additional audience for this book comes from researchers working in industry and laboratories engaged in research, development and deployment (R&DD). Finally, this book is a welcome addition to the wealth of books on State Space and Linear Quadratic (LQ) methods.” (D. Subbaram Naidu, Amazon.com, May, 2013)

Authors and Affiliations

  • Illkirch Cedex, France

    Eric Ostertag

Bibliographic Information

  • Book Title: Mono- and Multivariable Control and Estimation

  • Book Subtitle: Linear, Quadratic and LMI Methods

  • Authors: Eric Ostertag

  • Series Title: Mathematical Engineering

  • DOI: https://doi.org/10.1007/978-3-642-13734-1

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer-Verlag GmbH Berlin Heidelberg 2011

  • Hardcover ISBN: 978-3-642-13733-4Published: 05 January 2011

  • Softcover ISBN: 978-3-642-26646-1Published: 25 February 2013

  • eBook ISBN: 978-3-642-13734-1Published: 03 January 2011

  • Series ISSN: 2192-4732

  • Series E-ISSN: 2192-4740

  • Edition Number: 1

  • Number of Pages: XIV, 346

  • Topics: Control and Systems Theory, Systems Theory, Control, Mathematical and Computational Engineering

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