Finite Horizon H? and Related Control Problems (Systems & Control: Foundations & Applications)

Subrahmanyam, M.Bala

ISBN 10: 0817638113 / ISBN 13: 9780817638115

Verlag: Birkhäuser, 1995

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Inhaltsangabe:

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.

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

Bibliografische Details

Titel: Finite Horizon H? and Related Control ...
Verlag: Birkhäuser
Erscheinungsdatum: 1995
Einband: Hardcover
Zustand: Neu