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Gain-scheduled static output feedback controller synthesis for discrete-time LPV systems

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  • Arash Sadeghzadeh

Abstract

This study is concerned with the problem of gain-scheduled static output feedback H∞ controller synthesis for discrete-time linear parameter varying systems. The scheduling parameters, which may affect all the system matrices, and their deviations are supposed to lie in a known hyper-rectangle. A design procedure is presented in terms of sequentially solving three parameter-dependent linear matrix inequality (LMI) optimisation problems. The parameter-dependent LMIs are solved through finite-dimensional LMI relaxations exploiting homogeneous polynomial matrices of arbitrary degree. One of the advantages of the new method lies in its less conservatism which is theoretically shown in comparison with some available approaches. By an iterative scheme, the performance of the method can be improved. Numerical examples reveal the effectiveness of the new method.

Suggested Citation

  • Arash Sadeghzadeh, 2017. "Gain-scheduled static output feedback controller synthesis for discrete-time LPV systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(14), pages 2936-2947, October.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:2936-2947
    DOI: 10.1080/00207721.2017.1365967
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