异步切换与随机时延影响的切换系统网络化控制  

Networked Control for a Class of Switched System with Asynchronous Switching and Random Delay

作　　者：池小波[1] 常璐 贾新春[1] CHI Xiaobo;CHANG Lu;JIA Xinchun(School of Mathematical Sciences ,Shanxi University, Taiyuan 030006 ,Chin)

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《山西大学学报（自然科学版）》2018年第2期272-280,共9页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(61374059);山西省回国留学人员科研资助项目(2017-024)

摘　　要：研究一类切换时刻与采样时刻不匹配的离散时间切换系统的网络化异步切换控制问题。同时考虑异步切换和随机网络诱导时延,将离散网络化切换控制系统建模为一带有Bernoulli随机变量的多切换时滞系统。利用分段Lyapunov函数和平均驻留时间方法,给出保证闭环系统指数稳定性的充分条件,并提出一种网络化异步切换控制器的设计方法。最后通过仿真实例验证所提方法的有效性。We investigate the networked asynchronous switching control problem for a class of discrete-time switched system when considering a mismatch between the switching instant and the sampling instant.In the effect of asynchronous switching and random network-induced delay,the discrete-time networked switched control system is modeled as a multi-switching delayed system with Bernoulli random variables.Moreover,the sufficient condition ensuring exponentially stability of the closed-loop system is given using piecewise-Lyapunov functions and the average dwell time approach,and a design method of the networked asynchronous switching controller is proposed.Finally,the simulation example is provided to show the effectiveness of the proposed method.

关 键 词：网络化切换控制系统 异步切换 分段LYAPUNOV函数 平均驻留时间 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]