切换时滞系统的时滞反馈镇定  

Stabilization of delay feedback of switched system with switching delay

作　　者：刘正凡[1] 蔡晨晓[1] 殷明慧[1] 邹云[1] 

机构地区：[1]南京理工大学自动化学院,江苏南京210094

出　　处：《南京理工大学学报》2014年第2期291-298,共8页Journal of Nanjing University of Science and Technology

基　　金：国家自然科学基金(61104064;61174038;61203129)

摘　　要：该文研究了一类时变时滞状态反馈切换系统的指数稳定性,时滞不仅出现在系统状态中也出现在系统切换信号上。基于平均驻留时间方法和半正定规划方法技巧得到了系统指数稳定的充分条件。利用线性矩阵不等式易于求解的特性,研究保守性较低的状态反馈控制器的设计方法。当设定的匹配与不匹配子系统运行时间周期比大于一定值时,切换时滞系统在相应平均驻留时间内的任意切换信号下是指数稳定的。最后,数值算例验证了该方法的有效性。In the paper,it is investigated the exponential stability of switched systems by state feedback controller with time-varying delays. Time delays are presented in both states and the switching signals of the controller. Sufficient conditions are obtained based on the average dwell time（ ADT） approach and semi-definite programming method for the exponential stability of the system with input delay. By using the linear matrix inequalities technique being easy to find the feasible solution,the less conservative state feedback controller is designed. The global exponential stability is guaranteed under an ADT scheme when the total matched time of switching signals reaches an extent exceeding that of unmatched switching signals. Finally,numerical examples are given to validate the theoretical results and the effectiveness of the proposed scheme.

关 键 词：平均驻留时间 指数稳定 切换时滞 时滞状态反馈 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]