Title :
On LMI robust D-stability condition for real convex polytopic uncertainty
Author :
Gao, Lixin ; Xue, Anke
Author_Institution :
Inst. of Syst. Sci., Wenzhou Normal Coll., China
Abstract :
In this paper, a new sufficient LMI condition for the robust stability is established with respect to polytopic uncertainty. The robust stability of the uncertain systems can be verified by means of the feasibility of a set of LMIs described only in terms of the vertices of the polytopic domain. This approach is less conservative than quadratic stability by using a parameter-dependent Lyapunov function and extends the results of the related references.
Keywords :
Lyapunov methods; computational geometry; linear matrix inequalities; robust control; stability criteria; uncertain systems; LMI robust D-stability condition; convex polytopic uncertainty; parameter dependent Lyapunov function; quadratic stability; sufficient LMI condition; uncertain systems; Control system analysis; Linear matrix inequalities; Lyapunov method; Robust control; Robust stability; Robustness; Stability analysis; Symmetric matrices; Uncertain systems; Uncertainty;
Conference_Titel :
Intelligent Control and Automation, 2004. WCICA 2004. Fifth World Congress on
Print_ISBN :
0-7803-8273-0
DOI :
10.1109/WCICA.2004.1340544
