Title :
Variable Structure Control for Interval Systems
Author :
Cuihong, Wang ; Guang, Hao ; Tianmin, Huang
Author_Institution :
Southwest Jiaotong Univ., Chengdu
Abstract :
A variable structure control method is proposed for a class of interval systems. In terms of linear matrix inequalities (LMIs), a sufficient condition is given for the existence of linear sliding mode surface guaranteeing asymptotic stability of the reduced-order equivalent sliding mode dynamics. An LMI parameterization of such sliding mode surface is designed and a switched feedback control strategy is accordingly given to drive the system state trajectories reach the sliding surface. Finally, the simulation example shows the effectiveness of proposed method.
Keywords :
asymptotic stability; feedback; linear matrix inequalities; reduced order systems; time-varying systems; uncertain systems; variable structure systems; LMI parameterization; asymptotic stability; interval systems; linear matrix inequalities; linear sliding mode surface; reduced-order equivalent sliding mode dynamics; switched feedback control; system state trajectory; variable structure control; Control design; Control systems; Design methodology; Electric variables control; Linear matrix inequalities; Sliding mode control; Sufficient conditions; Symmetric matrices; Uncertain systems; Uncertainty; Interval Systems; Linear Matrix Inequality (LMI; Variable Structure Control;
Conference_Titel :
Control Conference, 2007. CCC 2007. Chinese
Conference_Location :
Hunan
Print_ISBN :
978-7-81124-055-9
Electronic_ISBN :
978-7-900719-22-5
DOI :
10.1109/CHICC.2006.4347353
