非线性双时间尺度系统非周期事件触发间歇控制  

Nonlinear two-time-scale system with aperiodic event-triggered intermittent control

作　　者：周旻 王维峰[1] ZHOU Min;WANG Weifeng(College of Mathematics and Statistics,South-Central Minzu University,Wuhan 430074,China)

机构地区：[1]中南民族大学数学与统计学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》2025年第1期138-144,共7页Journal of South-Central Minzu University(Natural Science Edition)

基　　金：湖北省自然科学基金资助项目(2023AFC006)。

摘　　要：通过奇异摄动理论将非线性双时间尺度系统分解为快、慢子系统,采用非周期事件触发间歇控制方法研究其输入状态稳定性.首先,针对快、慢子系统分别设计事件触发条件并给出相应的稳定性判据条件,再根据这些条件设计事件触发间歇控制器;然后,利用Lyapunov函数方法证明在非周期间歇控制器下系统是输入状态稳定;最后,通过数值仿真实验验证了理论结果的正确性.The nonlinear two-time-scale system is decoupled into fast and slow subsystems by using the singular perturbation theory,and the aperiodic event-triggered intermittent control method is used to study the input-to-state stability.Firstly,the event-triggered conditions are designed for the fast and slow subsystems and the corresponding stability conditions are given,and then the event-triggered intermittent controller is designed according to these conditions.The Lyapunov function method is used to prove the input-to-state stability of the system under the aperiodic intermittent controller.Finally,the correctness of the theoretical results is verified by numerical simulation experiments.

关 键 词：非周期事件触发间歇控制 非线性双时间尺度系统 输入状态稳定 线性矩阵不等式 

分 类 号：O231.2[理学—运筹学与控制论]