Design of a Discrete-time Output-feedback Based Repetitive-control System  

作　　者：Lan Zhou Jin-Hua She Min Wu 

机构地区：[1]School of Information and Electrical Engineering, Hunan University of Science and Technology [2]School of Computer Science, Tokyo University of Technology [3]School of Information Science and Engineering, Central South University

出　　处：《International Journal of Automation and computing》2013年第4期343-349,共7页国际自动化与计算杂志（英文版）

基　　金：supported by National Natural Science Foundation of China(Nos.61210011and61203010);National Science Fund for Distinguished Youth Scholars of China(No.60425310);Scientific Research Fund of Hunan Provincial Education Department(No.12B044);Hunan Natural Science Foundation(No.11JJ4059)

摘　　要：This paper deals with the problem of designing a robust discrete output-feedback based repetitive-control system for a class of linear plants with periodic uncertainties. The periodicity of the repetitive-control system is exploited to establish a two-dimensional （2D） model that converts the design problem into a robust stabilization problem for a discrete 2D system. By employing Lyapunov stability theory and the singular-value decomposition of the output matrix, a linear-matrix-inequality （LMI） based stability condition is derived. The condition can be used directly to design the gains of the repetitive controller. Two tuning parameters in the LMI enable the preferential adjustment of control and learning. A numerical example illustrates the design procedure and demonstrates the validity of the method.This paper deals with the problem of designing a robust discrete output-feedback based repetitive-control system for a class of linear plants with periodic uncertainties. The periodicity of the repetitive-control system is exploited to establish a two-dimensional （2D） model that converts the design problem into a robust stabilization problem for a discrete 2D system. By employing Lyapunov stability theory and the singular-value decomposition of the output matrix, a linear-matrix-inequality （LMI） based stability condition is derived. The condition can be used directly to design the gains of the repetitive controller. Two tuning parameters in the LMI enable the preferential adjustment of control and learning. A numerical example illustrates the design procedure and demonstrates the validity of the method.

关 键 词：Repetitive control discrete two-dimensional system singular-value decomposition output feedback linear matrix in- equality （LMI）. 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]