带有区间时变时滞的非线性扰动切换系统的指数镇定  

Exponential stabilization of nonlinear perturbation switchedsystems with interval time-varying delays

作　　者：冯改红[1] 张志银[1] 蔡国梁 FENG Gaihong;ZHANG Zhiyin;CAI Guoliang(Institute of Applied Mathematics,Zhengzhou Shengda University,Zhengzhou 451191,China)

机构地区：[1]郑州升达经贸管理学院应用数学研究所,河南郑州451191

出　　处：《浙江工业大学学报》2022年第4期401-405,共5页Journal of Zhejiang University of Technology

基　　金：河南省高等学校重点科研项目(22A120011);国家社会科学基金资助项目(18BJL073)。

摘　　要：研究了一类非线性扰动切换系统的指数镇定问题。首先,考虑状态中含有区间时滞,通过构建Lyapunov-Krasovskii泛函(L-K泛函)引入自由参数矩阵;然后,运用自由权技术和平均驻留时间方法得出切换规律,建立以矩阵不等式形式为基础的闭环系统指数镇定的充分条件,并通过矩阵变形设计出切换系统的控制器;最后,利用Matlab仿真进行数值计算。仿真实验结果验证了定理的有效性。In this paper,the issue of exponential stabilization of nonlinear perturbation switched systems is investigated.Firstly,when that the state contains interval time delay,the free-weighting matrix is introduced throught constructing Lyapunov-Krasovskii functional.Then,the switching law is given using the free weight technique and the average dwell time approach.A sufficient condition for exponential stabilization of a closed-loop system based on the matrix inequality is established,Through the matrix deformation,the controller of the switching systemis designed.Finally,Matlab is used to simulate the numerical calculation.The result shows the theorem is effective.

关 键 词：非线性扰动 切换系统 区间时变时滞 镇定 

分 类 号：O231.1[理学—运筹学与控制论]