Control and Optimal Control Theories with Applications - 1st Edition - ISBN: 9781904275015, 9780857099495

Control and Optimal Control Theories with Applications

1st Edition

Authors: D N Burghes A Graham
eBook ISBN: 9780857099495
Paperback ISBN: 9781904275015
Imprint: Woodhead Publishing
Published Date: 1st December 2004
Page Count: 400
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Description

This sound introduction to classical and modern control theory concentrates on fundamental concepts. Employing the minimum of mathematical elaboration, it investigates the many applications of control theory to varied and important present-day problems, e.g. economic growth, resource depletion, disease epidemics, exploited population, and rocket trajectories. An original feature is the amount of space devoted to the important and fascinating subject of optimal control. The work is divided into two parts. Part one deals with the control of linear time-continuous systems, using both transfer function and state-space methods. The ideas of controllability, observability and minimality are discussed in comprehensible fashion. Part two introduces the calculus of variations, followed by analysis of continuous optimal control problems. Each topic is individually introduced and carefully explained with illustrative examples and exercises at the end of each chapter to help and test the reader’s understanding. Solutions are provided at the end of the book.

Key Features

  • Investigates the many applications of control theory to varied and important present-day problems
  • Deals with the control of linear time-continuous systems, using both transfer function and state-space methods
  • Introduces the calculus of variations, followed by analysis of continuous optimal control problems

Readership

Mathematicians

Table of Contents

Systems dynamics and differential equations; Transfer functions and block diagrams; State-space formulation; Transient and steady state response analysis; Stability; Controllability and observability; Multivariable feedback and pole location; Introduction to optimal control; Variational calculus; Optimal control with unbounded continuous controls; Bang-bang control; Applications of optimal control; Dynamic programming; Appendices: Partial fractions; Notes on determinants and matrices; Solutions to problems.

Details

No. of pages:
400
Language:
English
Copyright:
© Woodhead Publishing 2005
Published:
Imprint:
Woodhead Publishing
eBook ISBN:
9780857099495
Paperback ISBN:
9781904275015

About the Author

D N Burghes

David N. Burghes, University of Exeter, UK.

Affiliations and Expertise

University of Exeter

A Graham

Alexander Graham, The Open University, UK.

Affiliations and Expertise

The Open University, UK

Reviews

Well written with difficult topics explained in a simple and lucid manner., Optimal Control Applications and Methods
Recommended., Zentralblatt für Didaktik, Mathematical Didactics

Ratings and Reviews