Controller synthesis for switched positive linear systems by output feedback

Jinjin Liu, Ning Li and Zhiqiang Li

International Journal of Systems Science, 2018, vol. 49, issue 16, 3261-3271

Abstract: The output-feedback controller synthesis issue for a class of continuous-time switched linear systems via average dwell time switching with constrained controls and output is addressed. First, we focus on the output-feedback stabilisation by decomposing control gain matrix. Second, the stabilisation problem with sign-restricted controls while imposing positivity and stability on closed-loop system is solved, then the results extend to asymmetrically bounded controls and constrained outputs. All the derived conditions are formulated as linear programming. Finally, numerical examples are given to show the applicability of the proposed methods.

Date: 2018
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DOI: 10.1080/00207721.2018.1536232

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