LMI_based robust iterative learning controller design for discrete linear uncertain systems  

作　　者：Jianming xu Mingxuan SUN Li YU 

机构地区：[1]College of Information Engineering, Zhejiang University of Technology, Hangzhou, Zhejiang 310032, China

出　　处：《控制理论与应用（英文版）》2005年第3期259-265,共7页

基　　金：The research work was supported bythe National Natural Science Foundation of China (No .60474005,60274034) .

摘　　要：This paper addresses the design problem of robust iterative learning controllers for a class of linear discrete-time systems with norm-bounded parameter uncertainties. An iterative learning algorithm with current cycle feedback is proposed to achieve both robust convergence and robust stability. The synthesis problem of the proposed iterative learmng control （ILC） system is reformulated as a γ-suboptimal H-infinity control problem via the linear fractional transformation （LFT）. A sufficient condition for the convergence of the ILC algorithm is presented in terms of linear matrix inequalities （LMIs）. Furthermore, the linear wansfer operators of the ILC algorithm with high convergence speed are obtained by using existing convex optimization techniques. The simulation results demonstrate the effectiveness of the proposed method.This paper addresses the design problem of robust iterative learning controllers for a class of linear discrete-time systems with norm-bounded parameter uncertainties. An iterative learning algorithm with current cycle feedback is proposed to achieve both robust convergence and robust stability. The synthesis problem of the proposed iterative learmng control （ILC） system is reformulated as a γ-suboptimal H-infinity control problem via the linear fractional transformation （LFT）. A sufficient condition for the convergence of the ILC algorithm is presented in terms of linear matrix inequalities （LMIs）. Furthermore, the linear wansfer operators of the ILC algorithm with high convergence speed are obtained by using existing convex optimization techniques. The simulation results demonstrate the effectiveness of the proposed method.

关 键 词：Iteradve learning control H-infinity control Linear fractional transformation Linear matrix inequality（LMI） 

分 类 号：TP182[自动化与计算机技术—控制理论与控制工程]