This item is in: Mathematics > Applied mathematics

Control and optimal control theories with applications

D N Burghes, University of Exeter and A Graham, The Open University, UK

Well written with difficult topics explained in a simple and lucid manner.
Optimal Control Applications and Methods

Recommended.
Zentralblatt für Didaktik, Mathematical Didactics

 - 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

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.

ISBN 1 904275 01 X
ISBN-13: 978 1 904275 01 5
December 2004
400 pages  234 x 156mm  paperback  
£50.00 / US$85.00 / €60.00

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About the authors

David N Burghes, University of Exeter, UK. Alexander Graham, The Open University, UK

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Contents

PART 1 CONTROL
PART 2 OPTIMAL CONTROL

PART 1 CONTROL

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

PART 2 OPTIMAL CONTROL

Introduction to optimal control

Variational calculus

Optimal control with unbounded continuous controls

Bang-bang control

Applications of optimal control

Dynamic programming

Appendix 1 Partial fractions

Appendix 2 Notes on determinants and matrices

Solutions to problems