Title :
LMI conditions for robust stability of discrete-time uncertain singular systems
Author :
Liang, Jia-Rong ; Gong, Wen-Zhen
Author_Institution :
Fac. of Sch. of Comput. & Electron. Inf., GuangXi Univ., Nanning
Abstract :
Two sufficient conditions for robust stability of discrete-time uncertain singular systems with polytope type uncertainties are proposed. The conditions are expressed in terms of a set of linear matrix inequalities (LMIs) involving only the vertices of the polytope domain. It enables us to determine robust stability of discrete-time uncertain singular systems easily by solving some LMIs. The new approaches can yield much sharper and less conservative results than the simultaneous stability approaches. Numerical examples are included to illustrate the the efficiency of the proposed approaches.
Keywords :
discrete time systems; linear matrix inequalities; robust control; stability; uncertain systems; discrete-time uncertain singular system; linear matrix inequality; robust stability; Control systems; Linear matrix inequalities; Lyapunov method; Polynomials; Riccati equations; Robust stability; State-space methods; Sufficient conditions; Uncertain systems; Uncertainty; Discrete-time singular systems; Linear matrix inequatliy; Robust stability; parameter-dependent Lyapunov matrix; polytopic uncertainty;
Conference_Titel :
Networking, Sensing and Control, 2009. ICNSC '09. International Conference on
Conference_Location :
Okayama
Print_ISBN :
978-1-4244-3491-6
Electronic_ISBN :
978-1-4244-3492-3
DOI :
10.1109/ICNSC.2009.4919299
