Control Theory for Engineers

A Primer

  • Brigitte d'Andréa-Novel
  • Michel De Lara

Table of contents

  1. Front Matter
    Pages i-xv
  2. Modelling, Dynamical Systems and Input-Output Representation

    1. Front Matter
      Pages 1-1
    2. Brigitte d’Andréa-Novel, Michel De Lara
      Pages 3-16
    3. Brigitte d’Andréa-Novel, Michel De Lara
      Pages 17-44
    4. Brigitte d’Andréa-Novel, Michel De Lara
      Pages 45-67
  3. Stabilization by State-Space Approach

    1. Front Matter
      Pages 69-69
    2. Brigitte d’Andréa-Novel, Michel De Lara
      Pages 71-95
    3. Brigitte d’Andréa-Novel, Michel De Lara
      Pages 97-131
    4. Brigitte d’Andréa-Novel, Michel De Lara
      Pages 133-164
    5. Brigitte d’Andréa-Novel, Michel De Lara
      Pages 165-187
  4. Disturbance Rejection and Polynomial Approach

    1. Front Matter
      Pages 189-189
    2. Brigitte d’Andréa-Novel, Michel De Lara
      Pages 191-226
  5. Back Matter
    Pages 227-257

About this book

Introduction

Control Theory is at the heart of information and communication technologies of complex systems. It can contribute to meeting the energy and environmental challenges we are facing.

The textbook is organized in the way an engineer classically proceeds to solve a control problem, that is, elaboration of a mathematical model capturing the process behavior, analysis of this model and design of a control to achieve the desired objectives.

It is divided into three Parts. The first part of the text addresses modeling aspects through state space and input-output representations. The notion of the internal state of a system (for example mechanical, thermal or electrical), as well as its description using a finite number of variables, is also emphasized. The second part is devoted to the stability analysis of an equilibrium point. The authors present classical tools for stability analysis, such as linearization techniques and Lyapunov functions.

Central to Control Theory are the notions of feedback and of closed-loop, and the third part of the textbook describes the linear control synthesis in a continuous and discrete-time framework and also in a probabilistic context. Quadratic optimization and Kalman filtering are presented, as well as the polynomial representation, a convenient approach to reject perturbations on the system without making the control law more complex. Throughout the text, different examples are developed, both in the chapters and in the exercises.

Keywords

Input-output representation Kalman filters Linear control theory Stability State-space models

Authors and affiliations

  • Brigitte d'Andréa-Novel
    • 1
  • Michel De Lara
    • 2
  1. 1., Centre de RobotiqueMINES ParisTechParis Cedex 06France
  2. 2.Ecole des Ponts ParisTechCERMICSMarne la Vallée Cedex 2France

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-34324-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 2013
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Earth and Environmental Science
  • Print ISBN 978-3-642-34323-0
  • Online ISBN 978-3-642-34324-7
  • About this book
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