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

S. Nagai, H. Oya, T. Kubo and T. Matsuki

International Journal of Systems Science, 2017, vol. 48, issue 8, 1616-1623

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.

Date: 2017
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DOI: 10.1080/00207721.2016.1277408

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