On a new generalised LMI condition and randomised algorithm for robust stabilisation via static-output-feedback

Y. Peretz, O. Merzbach and S. Moyall

International Journal of Systems Science, 2020, vol. 51, issue 1, 61-71

Abstract: For a given system with time-invariant affine uncertainties, ranging in a unit hypercube or, equivalently, in a hyper-rectangle, new LMI sufficient conditions for the verification of a given simultaneous static-output-feedback for hypercube nodes, being robust static-output-feedback for the whole system, are proved. The conditions generalise previous results in the sense that we do not assume that the state-to-measurement or the input-to-state matrix is constant. Based on the LMI conditions, a randomised algorithm is suggested. The effectiveness of the method is reinforced through experiments on real-life systems.

Date: 2020
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DOI: 10.1080/00207721.2019.1692955

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