Minimum Entropy H_ Control: 146 (Lecture Notes in Control and Information Sciences, 146) - Softcover

Mustafa, Denis; Glover, Keith

Softcover

ISBN 10: 3540529470 ISBN 13: 9783540529477

Publisher: Springer, 1990

Synopsis

This monograph is concerned with the design of feedback controllers for linear multivariable systems, which are robust to system uncertainty. System uncertainty can be realistically represented by including perturbations with bounded H?-norm, and this is the approach taken here. For a given H?-norm bound, there is a family of robustly stabilizing controllers, and the central question in this book is which of these controllers to choose. One choice to take is that which minimizes the enthropy of the resulting closed loop transfer function, and the derivation and properties of this solution occupies most of this monograph. Explicit formulae are obtained for the minimum enthropy solution, which is a precisely defined compromise between the Linear Quadratic Gaussian optimal solution and the H?-optimal solution. The book will be appropriate for graduate classes requiring only a first course in state-space methods, and some elementary knowledge of H? control and Linear Quadratic Gaussian control.

About this title

Product Description

This monograph is concerned with the design of feedback controllers for linear multivariate systems. System uncertainty can be realistically represented by including perturbations with bounded H-omega-norm-bound, and this is the approach taken here. For a given H-omega-norm-bound, there is a family of robustly stabilizing controllers, and the central question in this book is which of these controllers to choose. One choice is that which minimizes the enthropy of the resulting closed loop transfer function, and the derivation and properties of this solution occupies most of the monograph. Explicit formulae are obtained for the minimum enthropy solution, which is a precisely defined compromise between the Linear Quadratic Gaussian optimal solution and the H-omega optimal solution.

Edition details

• Publisher: Springer
• Publication date: 1990
• Language: English
• ISBN 10: 3540529470
• ISBN 13: 9783540529477
• Binding: Paperback
• Number of pages: 153