Title :
Analysis and design for discrete-time linear systems subject to actuator saturations
Author :
Ma, Yong-Mei ; Yang, Guang-hong
Author_Institution :
Coll. of Inf. Sci. & Eng., Northeastern Univ., Shenyang
Abstract :
This paper studies the problems of stability analysis and controller design for discrete-time linear systems subject to actuator saturations. By means of the saturation-dependent Lyapunov function, new stability test conditions are proposed firstly by introducing additional slack variables which allow to get enhanced relaxations. Furthermore, based on that, via a cone complementarity approach, different LMI-based optimization algorithms are developed by choosing different structures for the slack variables to design a state feedback controller which maximizes an estimation of domain of attraction. The simulation results illustrate the effectiveness of the proposed methods.
Keywords :
Lyapunov methods; control system synthesis; discrete time systems; linear matrix inequalities; linear systems; stability; state feedback; LMI-based optimization algorithms; actuator saturations; controller design; discrete-time linear systems; saturation-dependent Lyapunov function; stability analysis; state feedback controller; Algorithm design and analysis; Control systems; Design optimization; Hydraulic actuators; Linear systems; Lyapunov method; Stability analysis; State estimation; State feedback; Testing; LMIs; Linear systems; actuator saturations; cone complementarity approach;
Conference_Titel :
Control and Decision Conference, 2008. CCDC 2008. Chinese
Conference_Location :
Yantai, Shandong
Print_ISBN :
978-1-4244-1733-9
Electronic_ISBN :
978-1-4244-1734-6
DOI :
10.1109/CCDC.2008.4598061