Event-based <i>H</i><sub>∞</sub> control for piecewise-affine systems subject to actuator saturation

Yonghao JIANG; Wei WU; Xuyang LOU; Zhengxian JIANG; Baotong CUI

doi:10.1631/FITEE.1900601

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Front. Inform. Technol. Electron. Eng ›› 2021, Vol. 22 ›› Issue (5) : 720-731. DOI: 10.1631/FITEE.1900601

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Event-based H_∞ control for piecewise-affine systems subject to actuator saturation

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Abstract

We deal with event-triggered H_∞controller design for discrete-time piecewise-affine systems subject to actuator saturation. By considering saturation information, a novel event-triggered strategy is proposed to conserve communication resources. A linear matrix inequality based condition is derived based on a piecewise Lyapunov function. This condition guarantees the stability of the closed-loop system with a certain H_∞performance index and reduces the number of transmitted signals. Numerical examples are given to show the efficiency of our method.

Keywords

Event-triggered control / Piecewise-affine system / Linear matrix inequality / Actuator saturation / H_∞performance

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Yonghao JIANG, Wei WU, Xuyang LOU, Zhengxian JIANG, Baotong CUI. Event-based H_∞ control for piecewise-affine systems subject to actuator saturation. Front. Inform. Technol. Electron. Eng, 2021, 22(5): 720‒731 https://doi.org/10.1631/FITEE.1900601