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Event-triggered H∞ control for discrete-time piecewise affine systems with norm-bounded uncertainties
International Journal of Control ( IF 2.1 ) Pub Date : 2020-05-06 , DOI: 10.1080/00207179.2020.1755056
Yonghao Jiang 1 , Wei Wu 1 , Xuyang Lou 1 , Baotong Cui 1
Affiliation  

This paper is concerned with the problem of designing event-triggered H controllers for discrete-time piecewise-affine (PWA) systems with norm-bounded uncertainties. Event-triggered scheme transmits signals only when the event-triggering condition is violated. Due to its advantage in saving communication resources, it is utilised to design the state feedback controllers for piecewise-affine systems. With the utilisation of a piecewise Lyapunov function combined with the S-procedure and some matrix inequality convexifying techniques, sufficient conditions for novel event-triggered H controllers are formulated in the form of linear matrix inequalities (LMIs). The resulting closed-loop system stability is ensured with a guaranteed H disturbance attenuation level while the number of transmitted signals is reduced. A numerical example is given to show the effectiveness and merits of our method.



中文翻译:

具有范数有界不确定性的离散时间分段仿射系统的事件触发 H∞ 控制

本文关注的是设计事件触发的问题。 H具有范数有界不确定性的离散时间分段仿射 (PWA) 系统的控制器。事件触发方案仅在违反事件触发条件时才传输信号。由于其在节省通信资源方面的优势,它被用于设计分段仿射系统的状态反馈控制器。利用分段 Lyapunov 函数结合 S 过程和一些矩阵不等式凸化技术,新事件触发的充分条件H控制器以线性矩阵不等式 (LMI) 的形式表示。由此产生的闭环系统稳定性得到保证H传输信号数量减少的同时干扰衰减水平。给出了一个数值例子来说明我们方法的有效性和优点。

更新日期:2020-05-06
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