The robust D stabilization problem is considered for singular systems with polytopic uncertainties in this paper.Both the derivative matrix E and the state matrix A are with uncertainties,which were not considered bef...The robust D stabilization problem is considered for singular systems with polytopic uncertainties in this paper.Both the derivative matrix E and the state matrix A are with uncertainties,which were not considered before.First,with the introduction of some free matrices,a necessary and sufficient condition for the singular system to be D stable is proposed,based on which,the robust D stable problem is solved,and a sufficient condition for the closed system to be robust D stabilizable is obtained.The desired state feedback controller is given in an explicit expression.Numerical examples show the efficiency of the proposed approach.展开更多
基金supported by the National Creative Research Groups Science Foundation of China(No.60721062)the National Natural Science Foundation of China(No.60736021)+1 种基金National Natural Science Foundation of China(No.60904011)the National High Technology Research and Development Program of China(863 Program)(No.2008AA042902)
文摘The robust D stabilization problem is considered for singular systems with polytopic uncertainties in this paper.Both the derivative matrix E and the state matrix A are with uncertainties,which were not considered before.First,with the introduction of some free matrices,a necessary and sufficient condition for the singular system to be D stable is proposed,based on which,the robust D stable problem is solved,and a sufficient condition for the closed system to be robust D stabilizable is obtained.The desired state feedback controller is given in an explicit expression.Numerical examples show the efficiency of the proposed approach.
