Title :
Stability analysis of discrete-time systems with actuator saturation by a saturation-dependent Lyapunov function
Author :
Cao, Yong-Yan ; Lin, Zongli
Author_Institution :
Dept. of Electr. & Comput. Eng., Virginia Univ., Charlottesville, VA, USA
Abstract :
In this paper, the stability of discrete-time linear systems subject to actuator saturation is analyzed using a saturation-dependent Lyapunov function. This saturation-dependent Lyapunov function captures the real-time information on the severity of actuator saturation and leads to less conservative estimate of the domain of attraction, which is based on the solution of an LMI optimization problem. Numerical examples are presented to show the effectiveness of the proposed method.
Keywords :
Lyapunov methods; discrete time systems; invariance; linear matrix inequalities; linear systems; optimisation; stability; LMI optimization problem; actuator saturation; attraction estimation domain; discrete time systems; real time information; saturation dependent Lyapunov function; set invariance; stability analysis; Asymptotic stability; Control systems; Ear; Hydraulic actuators; Linear systems; Lyapunov method; Stability analysis; State estimation; Symmetric matrices; Vectors;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1185017
