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�������պ����ѧѧ�� 2002, Vol. 28 Issue (3) :331-334    DOI:
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Robust Strict Positive Realness Synthesis for Uncertainty Systems with LMI Approach
ZHANG Gao-min, JIA Ying-min*
Beijing University of Aeronautics and Astronautics, School of Science

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Abstract�� This paper is devoted to synthesizing a stabilizing feedback controller for a linear time-invariant plant with norm-bounded uncertain coefficient matrices so that the corresponding closed-loop system is robustly strictly positive real. Quadratic strict positive real system is defined first. Necessary and sufficient conditions for the system to be quadratic strict positive real are then established. Finally, state-space formulas for the state feedback controller are given in terms of solutions to linear matrix inequalities. The feasibility of the proposed method is confirmed by a numerical example.
Keywords�� uncertain systems   robustness   state feedback   linear matrix inequalities     
Received 2000-10-10;
Fund:

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About author: �Ÿ���(1964-),��,ɽ��Ϋ����,��ʿ��,100083,����.
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�Ÿ���, ��Ӣ��.��ȷ��ϵͳ��³���ϸ���ʵ��Ƶ�LMI����[J]  �������պ����ѧѧ��, 2002,V28(3): 331-334
ZHANG Gao-min, JIA Ying-min.Robust Strict Positive Realness Synthesis for Uncertainty Systems with LMI Approach[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2002,V28(3): 331-334
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http://bhxb.buaa.edu.cn//CN/     ��     http://bhxb.buaa.edu.cn//CN/Y2002/V28/I3/331
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