Title :
Analyzing robust D-stability and D-stabilization for discrete descriptor systems subjected to norm-bounded uncertainties in the coefficient matrix
Author :
Lei Zhao ; Ben-Wen Li
Author_Institution :
Key Lab. of Electromagn. Process. of Mater. of Minist. of Educ., Northeastern Univ. Shenyang, Shenyang, China
Abstract :
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(E) = 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.
Keywords :
discrete systems; linear matrix inequalities; linear systems; robust control; uncertain systems; D-stabilization; coefficient matrix; linear discrete uncertain descriptor system; linear matrix inequalities; norm-bounded uncertainties; robust D-stability; robustness analysis problem; Educational institutions; Linear matrix inequalities; Robustness; State feedback; Symmetric matrices; Uncertain systems; Uncertainty; discrete descriptor systems; linear matrix inequality (LMI); robust D-stability; robust D-stabilization; uncertain systems;
Conference_Titel :
Systems and Informatics (ICSAI), 2014 2nd International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4799-5457-5
DOI :
10.1109/ICSAI.2014.7009250
