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IMA Journal of Mathematical Control and Information 2003 20(2):201-216; doi:10.1093/imamci/20.2.201
© 2003 by Institute of Mathematics and its Applications
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Robust control system design for polytopic stable LPV systems

Wei Xie1, Yuji Kamiya1 and Toshio Eisaka1

1 Department of Computer Sciences, Kitami Institute of Technology, 165 Koen-cho Kitami City, Hokkaido, 090-8507, Japan

We investigate robust control system design for polytopic stable linear parameter-varying (LPV) plants using prior and non-real-time knowledge of the parameter. A gain-scheduled framework and robust model matching (RMM) strategy are combined to develop controllers. First, a self-scheduled H-infinity method is applied to design a nominal controller using a known parameter. Then a robust compensator is added in order to reduce the influence of parameter perturbation due to the real parameter's deviation from the nominal parameter. Thus, a RMM design method that is a practical approach to the design of attachable robust compensators for the linear time-invariant plant, is extended in application to the LPV plant. Finally, robust stability of the overall system for possible parameter trajectories is confirmed. A design example and simulation results are presented in order to demonstrate the proposed method.

Keywords: robust control; gain-scheduled control; linear parameter-varying system; polytopic system; linear time-varying system; linear matrix inequalities.

Received 5 October 2002. Accepted 13 January 2003.


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