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Decentralised variable gain robust controller design for a class of large-scale interconnected systems with mismatched uncertainties

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  • S. Nagai
  • H. Oya
  • T. Kubo
  • T. Matsuki

Abstract

In this paper, we propose an LMI-based design method of a decentralised variable gain robust controller for large-scale interconnected systems with mismatched uncertainties. The mismatched uncertainties under consideration are composed of the matched part and the mismatched one, and the proposed decentralised robust controller consists of a state feedback with a fixed gain and one with a variable gain tuned by parameter adjustment laws. Sufficient conditions for the existence of the proposed decentralised variable gain robust controller are given in terms of linear matrix inequalities (LMIs). Finally, a numerical example is illustrated to validate the proposed design procedure.

Suggested Citation

  • S. Nagai & H. Oya & T. Kubo & T. Matsuki, 2017. "Decentralised variable gain robust controller design for a class of large-scale interconnected systems with mismatched uncertainties," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(8), pages 1616-1623, June.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:8:p:1616-1623
    DOI: 10.1080/00207721.2016.1277408
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