Finite Horizon H∞ and Related Control Problems (Systems & Control: Foundations & Applications) - Hardcover

Subrahmanyam, M.Bala

Hardcover

ISBN 10: 0817638113 ISBN 13: 9780817638115

Publisher: Birkhauser Boston, 1995

Synopsis

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.

About this title

Review

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

Synopsis

This book presents a generalized state-space theory for the analysis and synthesis of finite horizon suboptimal H...controllers. Expressions for a suboptimal controller are derived in a general setting and an approximate solution to the H...performance robustness problem is proposed. 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. Chapter 2 gives a criterion for the evaluation of the infimal H...norm in the finite horizon case. A general suboptimal control problem is then posed, and an expression for a suboptimal H...state feedback controller is derived. Chapter 3 develops expressions for a suboptimal H...output feedback controller in a very general case via the solution of two dynamical Riccati equations. Assuming the adequacy of linear expressions, chapter 4 gives an iterative procedure for the synthesis of a suboptimal H...controller which yields the required performance even under parameter variations. Chapter 5 treats a general minimization problem in which the cost functional is a quotient of definite integrals.

The results are useful in computing the actual performance of a given controller. In chapter 6, a design of the F/A-18A automatic carrier landing system is accomplished using finite horizon H...techniques. The book is based mainly on the author's research papers and presents a very practical point of view toward the applications. It can be used as a one semester or one quarter graduate level course in electrical, mechanical or chemical engineering.

Edition details

• Publisher: Birkhauser Boston
• Publication date: 1995
• Language: English
• ISBN 10: 0817638113
• ISBN 13: 9780817638115
• Binding: Hardcover
• Number of pages: 132