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Robust H-infinity control of uncertain stochastic time-delay linear repetitive processes
Received:2008/4/7  Revised:2009/4/7
Keywords:Stochastic time-delay repetitive processes  H-infinity control  LMI  Parameter uncertainty
Fund Project:This work was supported by the Natural Science Foundation of Heilongjiang Province (No.F200504).
AuthorInstitutionE-mail
Yanhui LI Electrical and Information Engineering College, Northeast Petroleum University, Daqing Heilongjiang 163318, China  
Ji QI Electrical and Information Engineering College, Northeast Petroleum University, Daqing Heilongjiang 163318, China; Institute of Computer and Control Engineering, Qiqihar University, Qiqihar Heilongjiang 161006, China qi_ji_1979@yahoo.com.cn 
Xiaoyu QI Institute of Computer and Control Engineering, Qiqihar University, Qiqihar Heilongjiang 161006, China  
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Abstract:
      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, Itˆo 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 with respect to all energy-bounded input signals. A numerical example illustrates the effectiveness of the proposed design scheme.
Yanhui LI,Ji QI and Xiaoyu QI.Robust H-infinity control of uncertain stochastic time-delay linear repetitive processes[J].Journal of Control Theory and Applications,2010,8(4):491~495.
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