一类基于广义无源性的随机切换时滞系统的异步输出调节问题  

Asynchronous Output Regulation of Switched Stochastic Time-Delay Systems Based on Generalized Passivity

作　　者：李莉莉 于悦[3,2] 罗静文 LI Lili YU Yue LUO Jingwen(Information Science and Technology College, Dalian Maritime University, Dalian 116026 School of Business Administration, Northeastern University, Shenyang 110819 School of Mathematics, L iaoning Normal University, Dalian 116029)

机构地区：[1]大连海事大学信息科学技术学院,大连116026 [2]辽宁师范大学数学学院,大连116029 [3]东北大学工商管理学院,沈阳110819

出　　处：《系统科学与数学》2017年第7期1566-1579,共14页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(61304056);大连市高层次人才创新支持计划(2016RQ049)资助课题

摘　　要：文章讨论一类具有时变时滞的随机切换系统基于广义无源性的异步输出调节问题.采用改进的自由权矩阵方法并且选择新的随机Lyapunov-Krasovskii泛函来降低保守性.设计时滞全息反馈控制器和时滞误差反馈控制器,结合外部系统来消除外部扰动的影响.采用伊藤公式来处理随机问题.结合平均驻留时间方法、自由权矩阵技术、Jensen积分不等式,在异步切换下得到基于广义无源性的输出调节问题可解的充分条件.最后,用两个数值例子验证所给方法的有效性.This paper focuses on asynchronous output regulation for a class of switched stochastic systems with time-varying delays based on a generalized passivity. hnproved free-weighting-matrix approach and new Lyapunov-Krasovskii functionals are used to reduce conservatism. The full information feedback controllers and er- ror feedback controllers with time-varying delays are designed which are respectively combined with exosystem to eliminate disturbance. Stochastic problem is solved by using It5 equation. Combining average dwell time method, free-weight-matrix tech- nique and Jensen＇s integral inequality derives sufficient conditions which guarantee the solvability of asynchronous output regulation based on the generalized stochastic pas- sivity under asynchronous switching. Finally, two numerical examples are presented to prove the effectiveness of the developed results.

关 键 词：随机切换系统 时变时滞 异步切换 输出调节 广义无源性. 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]