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

• Published in: Frontiers of information technology & electronic engineering Vol. 22; no. 5; pp. 720 - 731
• Main Authors: Jiang, Yonghao, Wu, Wei, Lou, Xuyang, Jiang, Zhengxian, Cui, Baotong
• Format: Journal Article
• Language: English
• Published: Hangzhou Zhejiang University Press 01.05.2021; Springer Nature B.V; MOE Key Laboratory of Advanced Process Control for Light Industry,Jiangnan University,Wuxi 214122,China
• Subjects: Actuators; Closed loops; Communications Engineering; Computer Hardware; Computer Science; Computer Systems Organization and Communication Networks; Control systems design; Controllers; Discrete time systems; Electrical Engineering; Electronics and Microelectronics; Feedback control; H-infinity control; Instrumentation; Liapunov functions; Linear matrix inequalities; Mathematical analysis; Networks; Performance indices; Process controls; performance; 分段仿射系统; TP273; Linear matrix inequality; 事件触发控制; 执行器饱和; Piecewise-affine system; 线性矩阵不等式; 性能; Event-triggered control; Actuator saturation; H∞ performance
• ISSN: 2095-9184; 2095-9230
• DOI: 10.1631/FITEE.1900601

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.