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Hybrid state observer‐based event‐triggered control for switched linear systems with quantized input
Journal of the Franklin Institute ( IF 4.1 ) Pub Date : 2021-09-25 , DOI: 10.1016/j.jfranklin.2021.09.019
Yu Chen 1 , Yue-E Wang 1, 2 , Di Wu 2
Affiliation  

The paper investigates the design of hybrid state observer-based event-triggered controller for switched linear systems subject to quantized input and unknown but bounded additional disturbance and measurement noise. Firstly, by introducing a hybrid state observer and constructing a mode-dependent event-triggered mechanism, we design event-triggered controller for the considered switched linear systems. Then, by modeling the closed-loop system as an augmented asynchronous switched time-delay system, we deal with the asynchronous control problem caused by the switching between two consecutive trigger instants for the switched linear system. Thirdly, based on merging signal technique and multiple Lyapunov functional method, we obtain the sufficient criteria to guarantee the stability of the switched system when the switching signal meets an average dwell time condition, and further establish the hybrid observer-based event-triggered controller gains. Finally, a simulation example illustrates the validity of the results.



中文翻译:

具有量化输入的切换线性系统的基于混合状态观察器的事件触发控制

本文研究了基于混合状态观测器的事件触发控制器的设计,用于受量化输入和未知但有界附加扰动和测量噪声影响的开关线性系统。首先,通过引入混合状态观察器并构造依赖于模式的事件触发机制,我们为所考虑的切换线性系统设计了事件触发控制器。然后,通过将闭环系统建模为增强的异步切换时滞系统,我们处理了由切换线性系统的两个连续触发时刻之间的切换引起的异步控制问题。第三,基于合并信号技术和多重李雅普诺夫泛函方法,当切换信号满足平均停留时间条件时,我们获得了保证切换系统稳定性的充分条件,并进一步建立了基于混合观测器的事件触发控制器增益。最后,仿真实例说明了结果的有效性。

更新日期:2021-11-01
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