| Finite Horizon H∞ And Related Control Problems 1995 Edition Contributor(s): Subrahmanyam, M. Bala (Author) |
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ISBN: 0817638113 ISBN-13: 9780817638115 Publisher: Birkhauser OUR PRICE: $52.24 Product Type: Hardcover - Other Formats Published: March 1995 |
| Additional Information |
| BISAC Categories: - Mathematics | Essays - Science | System Theory - Gardening |
| Dewey: 519 |
| LCCN: 94046728 |
| Series: Systems & Control: Foundations & Applications |
| Physical Information: 0.38" H x 6.14" W x 9.21" (0.83 lbs) 122 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |