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�������պ����ѧѧ�� 2007, Vol. 33 Issue (11) :1299-1302    DOI:
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Algorithm of constructing reduced-order H controller for nonsingular plants in explicit form
Zhong Ruilin, Cheng Peng*
School of Automation Science and Electrical Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

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ժҪ Ŀǰ��ʽ���콵��H���������㷨������������H��������,Ϊ�Է���������ʹ����Щ�㷨,���������ľ��� A ��Ϊ A 0�� Δ A 2����,����ʹ( A 0, B 1, C 2, D 21)�� ( A 0, B 2, C 1, D 12)���в��ȶ����,�Ӷ�����ʹ�ù��콵�׿��������㷨�õ������ڹ��콵�׿������Ľ�( X , Y ).���� A �����ָı佫ʹ�ö����3�����Ծ��󲻵�ʽ�е�1�������ı�,��˸ý�( X , Y )������ A δ�ı�ʱ,���뷢���ı���Ǹ�����ʽ���ж����Ƿ����,��������ý�( X , Y )�����ڶԹ�������콵�׿�����.��ֵ���������˸��㷨����Ч��.
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Abstract�� Algorithms of constructing reduced-order H controllers in explicit form are only applied to singular H control case. In order to apply these algorithms to nonsingular case, the matrix A of a generalized plant was divided into two parts A 0 and Δ A , then ( A 0, B 2, C 1, D 12) or ( A 0, B 1, C 2, D 21) had unstable invariant zeros. Those algorithms could be used to the changed system to get a solution ( X , Y ) that could be used to construct a reduced-order controller. Since one of three linear matrix inequalities of the initial generalized plant was changed by the change of the system matrix A , the solution ( X , Y ) must be used in the linear matrix inequality that was changed with the variation of A for the initial generalized plant to see whether it could still hold or not. If it was holden, the solution ( X , Y ) could be used to construct a reduced-order controller for the initial generalized plant. Effectiveness of the algorithm was shown by numerical examples.
Keywords�� linear control system   feedback   robustness     
Received 2006-12-06;
About author: ������(1976-),��,�Ĵ����,��ʿ��,ruilinzhong@163.com.
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������,����.һ����ʽ�����������󽵽�H���������㷨[J]  �������պ����ѧѧ��, 2007,V33(11): 1299-1302
Zhong Ruilin, Cheng Peng.Algorithm of constructing reduced-order H controller for nonsingular plants in explicit form[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2007,V33(11): 1299-1302
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