Systems & Control: Foundations & Applications

Finite Horizon H∞ and Related Control Problems

Authors: Subrahmanyam, M.Bala

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About this book

HIS book presents a generalized state-space theory for the analysis T and synthesis of finite horizon suboptimal Hoo controllers. We de­ rive expressions for a suboptimal controller in a general setting and propose an approximate solution to the Hoo performance robustness problem. The material in the book is taken from a collection of research papers written by the author. The book is organized as follows. Chapter 1 treats nonlinear optimal control problems in which the cost functional is of the form of a quotient or a product of powers of definite integrals. The problems considered in Chap­ ter 1 are very general, and the results are useful for the computation of the actual performance of an Hoo suboptimal controller. Such an application is given in Chapters 4 and 5. Chapter 2 gives a criterion for the evaluation of the infimal Hoc norm in the finite horizon case. Also, a differential equation is derived for the achievable performance as the final time is varied. A general suboptimal control problem is then posed, and an expression for a subopti­ mal Hoo state feedback controller is derived. Chapter 3 develops expressions for a suboptimal Hoo output feedback controller in a very general case via the solution of two dynamic Riccati equations. Assuming the adequacy of linear expressions, Chapter 4 gives an iterative procedure for the synthesis of a suboptimal Hoo controller that yields the required performance even under parameter variations.

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"The book is well composed, contains many examples and bibliographical references and can be recommended to everyone interested in the subject."   
--Zentralblatt Math.

Table of contents (6 chapters)

Table of contents (6 chapters)
  • Necessary Conditions for Optimality in Problems with Nonstandard Cost Functionals

    Pages 1-13

    Subrahmanyam, M. Bala

  • Synthesis of Suboptimal H ∞ Controllers over a Finite Horizon

    Pages 15-34

    Subrahmanyam, M. Bala

  • General Formulae for Suboptimal H ∞ Control over a Finite Horizon

    Pages 35-52

    Subrahmanyam, M. Bala

  • Finite Horizon H ∞ with Parameter Variations

    Pages 53-72

    Subrahmanyam, M. Bala

  • A General Minimization Problem with Application to Performance Robustness in Finite Horizon H ∞

    Pages 73-91

    Subrahmanyam, M. Bala

Buy this book

eBook $69.99
price for USA in USD
  • ISBN 978-1-4612-4272-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-0-8176-3811-5
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $89.99
price for USA in USD
  • ISBN 978-1-4612-8718-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Finite Horizon H∞ and Related Control Problems
Authors
Series Title
Systems & Control: Foundations & Applications
Copyright
1995
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-1-4612-4272-7
DOI
10.1007/978-1-4612-4272-7
Hardcover ISBN
978-0-8176-3811-5
Softcover ISBN
978-1-4612-8718-6
Series ISSN
2324-9749
Edition Number
1
Number of Pages
X, 122
Topics