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Primer on Optimal Control Theory

Primer on Optimal Control Theory

Part of Advances in Design and Control

  • Date Published: May 2010
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Hardback
  • isbn: 9780898716948

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  • The performance of a process, such as aircraft fuel consumption, can be enhanced when its most effective controls and operating points are determined. Primer on Optimal Control Theory provides an introduction to the theory behind analysing these processes and finding the best controls, which provides a sound basis for those wishing to tackle more advanced literature. The book presents the important concepts of weak and strong control variations leading to local necessary conditions, and also global sufficiency of Hamilton–Jacobi–Bellman theory. It also gives the second variation for local optimality where the associated Riccati equation is derived from the transition matrix of the Hamiltonian system. These ideas lead naturally to the development of H2 and H∞ synthesis algorithms. This book will enable applied mathematicians, engineers, scientists, biomedical researchers, and economists to understand and implement optimal control theory at a level of sufficient generality and applicability for most practical purposes.

    • The conditions for optimality are presented in a more rigorous manner than in many introductory books on the subject
    • Topics have been carefully selected so that the book may be useful as a guide to implementing the theory
    • The book does not assume any more than a basic mathematical background and will be of interest to engineers, scientists, biomedical researchers and economists
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    Product details

    • Date Published: May 2010
    • format: Hardback
    • isbn: 9780898716948
    • length: 323 pages
    • dimensions: 260 x 183 x 24 mm
    • weight: 0.84kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    List of figures
    Preface
    1. Introduction
    2. Finite-dimensional optimization
    3. Systems with general performance criteria
    4. Terminal equality constraints
    5. Linear-quadratic control problem
    6. Linear-quadratic differential games
    Appendix
    Bibliography
    Index.

  • Authors

    Jason L. Speyer, University of California, Los Angeles
    Jason L. Speyer is a Distinguished Professor in the Mechanical and Aerospace Engineering Department and the Electrical Engineering Department at the University of California, Los Angeles. Dr Speyer has served as an Associate Editor for IEEE and AIAA journals as well as the Journal of Optimization Theory and Applications. He is a Fellow of the AIAA and a Life Fellow of the IEEE and has been honored with awards from both organizations. He is also a member of the National Academy of Engineering.

    David H. Jacobson, PriceWaterhouseCoopers LLP
    David H. Jacobson is Director of Emerging Technologies at PricewaterhouseCoopers Advisory Services, Toronto. He has held senior positions at Harvard University; the University of California, Berkeley; the University of the Witwatersrand, South Africa; the South African Council for Scientific and Industrial Research (CSIR); the Allied Electronics Corporation (Altron); and Primaxis Technology Ventures, Toronto. He is an Honorary Professor in the Department of Computational and Applied Mathematics at the University of the Witwatersrand and for 10 years served on the University's Council. Dr Jacobson's published papers and books include original contributions in optimality conditions for nonlinear, constrained, and singular control systems; differential dynamic programming; and risk-sensitive decision making using exponential performance criteria.

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