Title :
Delay-dependent stability criterion for discrete linear time-delay systems with state saturation nonlinearity
Author :
Ji, Xiaofu ; Ren, Mingwei ; Yang, Zebin
Author_Institution :
Sch. of Electr. & Inf. Eng., Jiangsu Univ., Zhenjiang, China
Abstract :
This paper is concerned with stability analysis for discrete linear time delay systems with state saturation nonlinearity. By introducing a free matrix whose infinity norm is less than or equal to 1, the discrete state under state saturation constraint is confined in a convex hull. In this way, a sufficient criterion for discrete linear time-delay systems with state saturation to be asymptotically stable is obtained in terms of bilinear matrix inequalities that can be solved using the presented iterative linear matrix inequality algorithm. The state feedback control law synthesis problem is also solved and the corresponding iterative linear matrix synthesis algorithm is given. Two numerical examples are used to show that the presented method is applicable and effective.
Keywords :
asymptotic stability; control nonlinearities; control system synthesis; delays; discrete time systems; iterative methods; linear matrix inequalities; linear systems; state feedback; asymptotic stability; bilinear matrix inequalities; delay-dependent stability criterion; discrete linear time-delay systems; discrete state; free matrix; iterative linear matrix inequality algorithm; stability analysis; state feedback control law synthesis problem; state saturation constraint; state saturation nonlinearity; sufficient criterion; Asymptotic stability; Linear matrix inequalities; Numerical stability; Stability criteria; State feedback; Symmetric matrices; Vectors; Discrete linear system; iterative linear matrix inequality; state saturation; time delay;
Conference_Titel :
Control Conference (CCC), 2012 31st Chinese
Conference_Location :
Hefei
Print_ISBN :
978-1-4673-2581-3