作　　者： ; ; ;

机构地区： 辽宁石油化工大学理学院

出　　处： 《沈阳师范大学学报（自然科学版）》 2011年第4期463-473,共11页

摘　　要： 研究了具有控制器失效的这样一类特殊的不确定时变时滞系统的区间时滞依赖鲁棒控制问题。假定时滞是某一给定区间上的时变连续函数。主要探索控制器失效在满足什么样的条件下系统依然是指数稳定的。首先,将具有控制器失效的时滞系统建模成一类包含了稳定子系统与不稳定子系统的切换系统。接着,针对这样的时滞系统,通过利用一个新的Lyapunov-Krasovskii泛函,使用新的时滞技术及基于平均驻留时间方法,在稳定子系统与不稳定子系统激活时间比不小于某一下界的条件下,提出依赖于时滞区间的时滞依赖稳定性条件。由于未引进多余的加权矩阵,在估计泛函微分上界时未忽略有用信息,即充分考虑时滞上下界信息,使得所得结果具有较小保守性。基于所获得的稳定性准则,以线性矩阵不等式(LMI)形式得到了确保闭环系统指数稳定的控制器存在的依赖于时滞区间的充分条件,控制器参数通过求解LMI给出。最后,所呈现的鲁棒控制问题有效性通过仿真算例得以证实。 The issue deals with the problem of delay-range-dependent robust control of a class of uncertain special systems with time-varying delay subject to controller failure.The time delay is assumed to be a time-varying continuous function belonging to a given range.It explores under what conditions of controller failure the system is still exponentially stable.First,the delay system with failed controller is modelled as a class of switched delay systems including stable subsystem and unstable subsystem.Next,by exploiting a new Lyapunov-Krasovskii functional,by making use of novel techniques for time-delay systems and based on the average dwell time method,under the condition that the total activation time ratio between the stable system and the unstable one is required to be lower bounded,some new delay-range dependent stability criteria are proposed.Because any free weighting matrix are not introduced and some useful terms that take into account information of the lower and upper bounds for the time delay are not ignored to estimate the upper bound of the derivative of Lyapunov functional,these developed results enjoy much less conservatism than the existing ones.Based on the criteria obtained,a delay-range-dependent sufficient condition for the existence of such controller which guarantees the resulting closed-loop systems exponentially stable is derived in terms of linear matrix inequalities.A parameterized characterization of the controller is given in terms of the feasibility solutions to the LMIs.Finally,the effectiveness of the proposed robust control scheme is verified by a simulation example.

关 键 词： 控制器失效 平均驻留时间 区间时滞依赖 线性矩阵不等式 指数稳定

领　　域： [自动化与计算机技术] [自动化与计算机技术]