-gain analysis and control synthesis of positive switched systems

Junfeng Zhang, Zhengzhi Han and Fubo Zhu

International Journal of Systems Science, 2015, vol. 46, issue 12, 2111-2121

Abstract: This paper investigates the problems of L1-gain analysis and control synthesis of positive switched systems. Linear supply rates and L1-gain notations are introduced to analyse the performance of the underlying systems. Stability with a weighted L1-gain for autonomous systems are solved by using multiple linear copositive Lyapunov functions incorporated with the average dwell time approach. Then, state-feedback and output-feedback controllers are designed to guarantee the stabilisation with a weighted L1-gain for non-autonomous systems. All present conditions are solvable in terms of linear programming. Finally, a practical example is given to illustrate the validity of theoretical findings.

Date: 2015
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DOI: 10.1080/00207721.2013.849773

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