一类具有输入时滞的切换系统的正性镇定  

Positive stabilization for a class of switched systems with input time-delay

作　　者：刘教[1] 连捷[1] 庄严[1] LIU Jiao LIAN Jie ZHUANG Yan(School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, China)

机构地区：[1]大连理工大学控制科学与工程学院,辽宁大连116024

出　　处：《控制与决策》2017年第6期1001-1006,共6页Control and Decision

基　　金：国家自然科学基金项目(61374070);辽宁省自然科学基金项目(2015020075);中央高校基本科研业务费专项资金项目(DUT15LN04)

摘　　要：研究一类含有输入时滞的切换系统正性镇定问题.通过引入增广系统,将时滞作为一个切换参数,原系统的正性镇定问题转化为增广系统异步切换下的控制问题.利用对偶系统的特性,得到增广系统在平均驻留时间切换下为正且稳定的充分条件,进而设计控制器以保证闭环系统的正性和稳定性.得到的充分条件可转化为标准的线性规划问题,利用Matlab的linprog工具箱进行求解.最后,通过仿真示例验证了所得结果的有效性.This paper focuses on the positive stabilization problem for a class of switched systems with input time-delay. By introducing the augmented system and taking time-delay as a switching parameter, the positive stabilization problem is converted to the control problem of the augmented system under asynchronous switching. Taking advantage of the properties of dual systems, a sufficient condition is derived to ensure that the augmented system is both positive and stable under the average dwell time switching. Then, a controller is designed to guarantee the prescribed performance of closed-loop systems. Such sufficient condition can be transformed to the normal linear programming problem, which can be solved by using the linprog toolbox in Maflab. Finally, a numerical example is given to illustrate the effectiveness of the obtained results.

关 键 词：切换系统 平均驻留时间 正性镇定 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]