Title :
Robust stability analysis for a class of uncertain discrete-time linear systems
Author :
Junchao, Ren ; Zheng, Fang ; Qingling, Zhang ; Xiaojian, Li ; Zhilai, Liu
Author_Institution :
Inst. of Syst. Sci., Northeastern Univ., Shenyang, China
Abstract :
In this paper, A necessary and sufficient condition of robust normal and quadratic stability (RNQS) is derived for uncertain discrete-time linear systems. The parameter uncertainties are assumed to be time-invariant norm-bounded appearing not only in the state matrix but also in difference matrix. The condition is expressed in terms of a set of linear matrix inequalities (LMIs). It enables us to determine robust stability of uncertain systems easily by solving some LMIs. The quadratic stability condition for a state space system is a special case of the proposed condition. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.
Keywords :
discrete time systems; linear matrix inequalities; linear systems; robust control; state-space methods; uncertain systems; LMI; RNQS; difference matrix; linear matrix inequalities; parameter uncertainties; quadratic stability condition; robust normal and quadratic stability; robust stability analysis; state matrix; state space system; time-invariant norm-bounded; uncertain discrete-time linear systems; Educational institutions; Electronic mail; Linear matrix inequalities; Linear systems; Robust stability; Robustness; Uncertain systems; Discrete-time linear systems; Linear matrix inequalities; Quadratic stability;
Conference_Titel :
Control Conference (CCC), 2012 31st Chinese
Conference_Location :
Hefei
Print_ISBN :
978-1-4673-2581-3