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 e-independent quadratically stabilizing controller is newly proposed. It is shown that if the reduced-order algebraic Riccati equations (AREs) have positive definite stabilizing solutions, then closed-loop uncertain multimodeling systems with the proposed controller are quadratically stable and have a cost bound. To show the effectiveness of the proposed algorithm, a numerical example is included. © 2007 Wiley Periodicals, Inc. Electr Eng Jpn, 160(4): 49– 59, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/eej.20271

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