New Result on Event-Triggered Dynamic Output Feedback Control for Discrete-Time Switched Systems

Jia-Xiang Cheng, Hongbin Zhang
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Abstract

In this paper, the event-triggered dynamic output feedback controller for discrete-time switched linear system is addressed. The switching of subsystems during the inter-event interval has always been the focus of researchers’ discussions. Particularly, multiple switching is allowed to happen during an inter-event interval in this paper. To reflect the characteristics of multiple switching during an inter-event interval, the average dwell time approach is adopted in stability analysis. Since the full information of system states can not always be acquired directly, the dynamic output feedback control is taken into consideration. Furthermore, by utilizing a controller-mode-dependent Lyapunov function, we obtain criteria of global exponential stability for switched systems, which are the basis of controller design. At last, we provide a numerical example to prove the validity of the theorem proposed in this paper.
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离散时间切换系统事件触发动态输出反馈控制的新结果
研究了离散时间切换线性系统的事件触发动态输出反馈控制器。事件间时间内子系统的切换问题一直是研究人员关注的焦点。特别地,本文允许在事件间时间间隔内进行多次交换。在稳定性分析中,采用平均停留时间法来反映事件间多次切换的特性。由于不能直接获取系统状态的全部信息,因此考虑了动态输出反馈控制。此外,利用与控制器模相关的Lyapunov函数,我们得到了切换系统的全局指数稳定性判据,这是控制器设计的基础。最后,给出了一个数值例子来证明本文所提定理的有效性。
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