Finite Horizon Hinfinity and Related Control Problems PDF

by M.Bala Subrahmanyam

Part of the Systems & Control: Foundations & Applications series

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Description

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.