部分时滞依赖下时滞切换系统的H_∞同步镇定  

Synchronous H_∞ Stabilization of Time-Delay Switched Systems under Partially Delay-Dependent Controllers

作　　者：王岩 聂宏[2] Wang Yan1,Nie Hong2(1.School of Information and Control Engineering,Liaoning Shihua University,Fushun Liaoning 113001,China;2.School of Sciences,Liaoning Shihua University,Fushun Liaoning 113001,China)

机构地区：[1]辽宁石油化工大学信息与控制工程学院,辽宁抚顺113001 [2]辽宁石油化工大学理学院,辽宁抚顺113001

出　　处：《辽宁石油化工大学学报》2018年第4期93-100,共8页Journal of Liaoning Petrochemical University

基　　金：国家自然科学基金项目(61673199);辽宁省教育厅科学研究基金项目(L2014151;L2015309)

摘　　要：研究部分时滞依赖切换控制器下一类离散时滞切换系统H_∞同步切换控制问题。使用多Lyapunov函数及平均驻留时间方法,给出平均驻留时间所满足的条件,在此切换条件下系统是均方指数稳定的且具有加权H_∞性能,同时给出H_∞切换控制器的设计方案。最后,通过一个数值例子验证所提出设计方案的有效性。This paper is concerned with the synchronous H_∞ switching control problem for a class of discrete-time delay switched systems with time-varying delay under partially delay-dependent controller.Using the multiple Lyapunov function and the average dwell time method,the conditions for the average dwell time are satisfied.Under this switching condition,the system is mean square exponent stable and has weighted H_∞ performance.At the same time,the design of the H_∞ switching controller is given.Finally,a numerical example is used to illustrate the effectiveness of the proposed design method.

关 键 词：部分时滞依赖切换控制器 多LYAPUNOV函数 平均驻留时间 加权l2增益 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]