随机非线性切换系统的周期事件驱动控制  

Periodic Event-triggered Control for Stochastic Nonlinear Switched Systems

作　　者：徐亚男 董潇潇[1] XU Yanan;DONG Xiaoxiao(School of Science,Shenyang University of Technology,Shenyang 110870,Liaoning Province)

机构地区：[1]沈阳工业大学理学院,辽宁沈阳110870

出　　处：《沈阳工程学院学报（自然科学版）》2024年第4期74-80,共7页Journal of Shenyang Institute of Engineering:Natural Science

基　　金：国家自然科学基金项目(61503254)。

摘　　要：针对随机非线性切换系统,为避免芝诺现象和减少通信资源的浪费,研究了基于采样数据的周期事件驱动控制问题。首先,利用融合切换信号技术,将闭环切换系统转换成具有状态延迟和融合切换信号的随机非线性切换系统;其次,在周期事件驱动方案下,通过构造合适的李雅普诺夫函数,在满足平均驻留时间的切换信号下,得到了闭环切换系统的均方指数稳定性的充分条件;再次,给出了状态反馈控制器和事件驱动参数的设计方法;最后,通过一个数值例子验证了所提出方法的有效性,该实验结果表明了在所设计的控制方法下,闭环切换系统的状态是均方指数稳定的,同时还能减少通信资源的消耗。For a class of stochastic nonlinear switched systems,in order to reduce the waste of communication resources and avoid Zeno behavior,a periodic event-triggered control mechanism based on sampled data is proposed.Firstly,based on the merging switching signal technology,the closed-loop switched system is converted into stochastic nonlinear switched systems with delayed state and merging switching signal.Secondly,it is proved that the periodic event-triggered mechanism can ensure the mean square exponential stability of this systems by the average dwell time switching signal and constructing a class of the Lyapunov function.The design method of the state feedback controller gains and the event-triggered parameters are given.Finally,the effectiveness of the proposed approach is verified by a simulation result.The experimental results show that under the designed control methods,the states of the closed-loop switched system are mean square exponential stable,which can save the communication resources.

关 键 词：随机切换非线性系统 周期事件驱动控制 平均驻留时间 均方指数稳定性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]