Robust H∞ State Feedback Control With Regional Pole Constraints: An Algebraic Riccati Equation Approach

[+] Author and Article Information
Zidong Wang

Automatic Control Laboratory, Faculty of Electrical Engineering, Ruhr-University Bochum, D-44780 Bochum, Germany

J. Dyn. Sys., Meas., Control 120(2), 289-292 (Jun 01, 1998) (4 pages) doi:10.1115/1.2802422 History: Received January 02, 1997; Online December 03, 2007


This paper focuses on the controller design for uncertain linear continuous-time systems with H∞ norm and circular pole constraints and addresses the following multiobjective simultaneous realization problem: designing a state feedback controller such that the closed-loop system, for all admissible parameter uncertainties, simultaneously satisfies the prespecified H∞ norm constraint on the transfer function from disturbance input to output and the prespecified circular pole constraint on the closed-loop matrix. An effective, algebraic, modified Riccati equation approach is developed to solve this problem. The existence conditions, as well as the analytical expression of desired controllers, are derived. A numerical example is provided to show the directness and effectiveness of the present approach.

Copyright © 1998 by The American Society of Mechanical Engineers
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