Analyzing Robust D-stability and D-stabilization for Discrete Descriptor Systems Subjected to Norm-bounded Uncertainties in the Coefficient Matrix
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论文类型：会议论文
发表时间：2014-01-01
收录刊物：CPCI-S
页面范围：6-11
关键字：robust D-stability; robust D-stabilization; uncertain systems; discrete descriptor systems; linear matrix inequality (LMI)
摘要：This paper investigates the problems of robust D-stability and D-stabilization for linear discrete uncertain descriptor systems ties in the whole system matrices cover that in the coefficient matrix E. We assume that the coefficient matrix E is rank-invariant, that is, rank (k) = r <= n for all admissible uncertainties. Thus, we consider the robustness analysis problem as two cases: the right-descriptor case and the left-descriptor case. Two necessary and sufficient D-stability conditions are developed for the first and second cases. Then, based on the above mentioned conditions, by applying a new augmentation method, the sufficient D-stabilization conditions will be presented for both cases. Both the D-stability and the D-stabilization conditions are obtained based on linear matrix inequalities. Finally, illustrative instances are given to testify the application of the proposed method for the two cases.
发表时间：2014-01-01