L2-gain analysis of reset control for piecewise-affine systems with input saturation

Xu Cai and Xuyang Lou

International Journal of Systems Science, 2023, vol. 54, issue 3, 684-703

Abstract: This paper is concerned with reset control and $ \mathcal {L}_2 $ L2-gain stability of piecewise-affine systems with input saturation and external disturbance under the framework of hybrid systems. Firstly, we present a reset controller and establish exponential stability conditions of piecewise-affine systems with input saturation under the reset controller. Secondly, sufficient conditions for $ \mathcal {L}_2 $ L2-gain stability of the closed-loop systems with input saturation and external disturbance are provided and a reset controller is designed to enhance the $ \mathcal {L}_2 $ L2-gain performance of piecewise-affine systems with input saturation. Furthermore, robustness to inflations of the flow and jump sets is established. Finally, a numerical simulation is provided to illustrate the results.

Date: 2023
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DOI: 10.1080/00207721.2022.2141592

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