Robust Stabilization of Multimodeling Systems via Guaranteed Cost Control Theory

Abstract

This paper considers the robust stabilization of uncertain multimodeling systems. The guaranteed cost control technique is used to choose the design parameter which is included in the control gain. The є-independent quadratically stabilizing controller is newly proposed. It is shown that if the reduced order algebraic Riccati equations (AREs) have positive definite stabilizing solution then the closed-loop uncertain multimodeling systems with the proposed controller are quadraticaly stable and have the cost bound. To show the effectiveness of the proposed algorithm, numerical example is included. © 2005, The Institute of Electrical Engineers of Japan. All rights reserved.