非线性切换系统的异步事件驱动控制

Asynchronous Event⁃Triggered Control of Cascade Nonlinear Switched System

孙韬 董潇潇

Tao Sun Xiaoxiao Dong

沈阳工业大学 理学院，辽宁 沈阳 110870

College of Science，Shenyang University of Technology，Shenyang Liaoning 110870，China

事件驱动控制是一种减少通讯总量并能保持闭环系统性能的有效控制策略。在事件驱动控制中，由于取样时刻与切换时刻之间的异步会导致子系统与控制器之间的异步切换，造成切换系统的不稳定。因此，考虑非线性切换系统的异步事件驱动控制问题显得尤为重要。为了解决这一问题，首先从结构简单的线性部分和非线性部分级联的非线性切换系统入手，基于该系统的结构特点构造合适的Lyapunov函数。然后，针对每个子系统设计系统的切换控制器，并给出切换系统所要满足的平均驻留时间，当切换系统的切换信号满足一定平均驻留时间时，得到切换系统全局一致指数稳定的充分条件。最后给出数值算例消除了异步切换所导致的系统的不稳定性，说明了该方法的有效性。

In order to obtain good performance and required goals, the existence of asynchronous switching of controllers and subsystems must be considered. The event?triggered control of nonlinear switched system under asynchronous switching is studied. As the switching of the controller lags behind the switching of the subsystem, asynchronous behavior occurs. First, the switched nonlinear systems with linear parts and nonlinear parts are researched and the Laypunov functions are constructed. Then, a switching controller for a cascaded nonlinear switched system to obtain a closed?loop system is designed, and the average dwell time is given to get the sufficient condition for the switched system to be globally uniformly and exponentially stable. Finally, a numerical example is given to illustrate the feasibility of the method.

国家自然科学基金项目(61503254)

10.3969/j.issn.1672-6952.2021.04.015