Robust H-infinity control of uncertain stochastic time-delay linear repetitive processes  

作　　者：Yanhui LI Ji QI Xiaoyu QI 

机构地区：[1]Electrical and Information Engineering College, Northeast Petroleum University, Daqing Heilongiiang 163318, China [2]Institute of Computer and Control Engineering, Qiqihar University, Qiqihar Heilongjiang 161006, China

出　　处：《控制理论与应用（英文版）》2010年第4期491-495,共5页

基　　金：supported by the Natural Science Foundation of Heilongjiang Province(No.F200504)

摘　　要：Repetitive processes are a distinct class of 2D systems of both theoretic and practical interest.The robust H-infinity control problem for uncertain stochastic time-delay linear continuous repetitive processes is investigated in this paper.First,sufficient conditions are proposed in terms of stochastic Lyapunov stability theory,It o differential rule and linear matrix inequality technology.The corresponding controller design is then cast into a convex optimization problem.Attention is focused on constructing an admissible controller,which guarantees that the closed-loop repetitive processes are mean-square asymptotically stable and have a prespecified H-infinity performance γ with respect to all energy-bounded input signals.A numerical example illustrates the effectiveness of the proposed design scheme.Repetitive processes are a distinct class of 2D systems of both theoretic and practical interest.The robust H-infinity control problem for uncertain stochastic time-delay linear continuous repetitive processes is investigated in this paper.First,sufficient conditions are proposed in terms of stochastic Lyapunov stability theory,It o differential rule and linear matrix inequality technology.The corresponding controller design is then cast into a convex optimization problem.Attention is focused on constructing an admissible controller,which guarantees that the closed-loop repetitive processes are mean-square asymptotically stable and have a prespecified H-infinity performance γ with respect to all energy-bounded input signals.A numerical example illustrates the effectiveness of the proposed design scheme.

关 键 词：Stochastic time-delay repetitive processes H-infinity control LMI Parameter uncertainty 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TU311.3[自动化与计算机技术—控制科学与工程]