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An optimal design of symmetric H static output feedback controller using LMI for collocated second-order linear system

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2 Author(s)
Tomoyuki Nagashio ; Department of Mechanical Engineering and Intelligent Systems, University of Electro Communications, Chofu, Tokyo, Japan ; Takashi Kida

The symmetric control systems have some interesting properties. This paper studies a class of symmetric system consists of a collocated second-order plant and a static output feedback controller. For the system, it is known that the internal stability and the robustness of the closed-loop system are guaranteed based only on the non-parametric structure condition. Our objective is to propose an optimal H symmetric controller design method under a generalized non-symmetric control specification for disturbance attenuation. For this purpose, we investigate an existence condition of the symmetric controller for the bounded real lemma, and propose a convex optimization method using linear matrix inequalities.

Published in:

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Date of Conference:

15-18 Dec. 2009