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�������պ����ѧѧ�� 2007, Vol. 33 Issue (07) :816-820    DOI:
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Robust H control for systems with delayed state and input
Xia Hongwei, Ling Mingxiang, Wen Qiyong, Wang Changhong*
Department of Control Science and Engineering, Harbin Institute of Technology, Harbin 150001, China

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Abstract�� The problem of robust H state feedback controller design for the generalized continuous time systems with time-varying delays in states and control inputs and parameter uncertainties residing in a polytope were investigated. A new improved performance criterion for the existence of robust H controller was presented by introducing two slack matrices. Then a H state feedback controller was derived directly from the criterion, which guarantees not only the quadratic stability of the closed-loop systems but also the H norm bound within a predefined level. The newly proposed criterion exhibits a kind of separation between the systems matrices and the positive definite Lyapunov matrices. As a result, the vertex-dependent Lyapunov functions can be adopted to deliver a less conservative result. An iterative algorithm was developed to further refine the sub-optimal controller. Moreover, this contribution addressed an effective method to obtain new criteria with less conservativeness based on existing research results. A numerical example was employed to illustrate the effect of the proposed approach.
Keywords�� linear systems   state feedback   robustness     
Received 2006-06-29;
About author: �ĺ�ΰ(1979-),��,ɽ��ƽ����,��ʿ��,simonxhw@163.com.
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�ĺ�ΰ, ������, ����ӽ, ������.�����ͺ��״̬�ͺ�ϵͳ��³��H����[J]  �������պ����ѧѧ��, 2007,V33(07): 816-820
Xia Hongwei, Ling Mingxiang, Wen Qiyong, Wang Changhong.Robust H control for systems with delayed state and input[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2007,V33(07): 816-820
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http://bhxb.buaa.edu.cn//CN/     ��     http://bhxb.buaa.edu.cn//CN/Y2007/V33/I07/816
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