一类离散不确定切换系统的滑模控制  

Sliding Mode Control of Uncertain Discrete Switched Systems

作　　者：刘永慧[1] 苏庆堂[2] 韩美杰 LIU Yonghui;SU Qingtang;HAN Meijie(Electrical Institute,Shanghai Dianji University,Shanghai 201306,China;School of Information and Electrical Engineering,Ludong University,Yantai 264025,China)

机构地区：[1]上海电机学院电气学院,上海201306 [2]鲁东大学信息与电气工程学院,山东烟台264025

出　　处：《东华大学学报（自然科学版）》2018年第3期495-502,共8页Journal of Donghua University(Natural Science)

基　　金：国家自然科学基金资助项目(61771231);山东省自然科学基金资助项目(ZR2017MF010);上海市电机学院校级基础研究专项计划(A1-0227-18-016-04)

摘　　要：由于离散切换系统的输入矩阵不同,采用矩阵加权方法设计了一个公共滑模面。基于平均驻留时间方法设计切换信号,给出了理想滑动模态指数稳定性的充分条件。通过设计的滑模控制律,将系统状态轨迹于有限时间内趋使到准滑动模态内。最后,数值仿真验证了该方法的有效性。Due to the different input matrices of discrete switched systems,a weighted sum approach was proposed to obtain a common sliding surface. Moreover, a sufficient condition based on the average dwell time technology was given to guarantee the exponential stability of the sliding mode dynamics.Furthermore, the state trajectories were driven onto a certain band around the sliding surface by designing a sliding mode control law. Finally, a simulation was given to demonstrate the efficiency of the proposed method.

关 键 词：离散切换系统 滑模控制 平均驻留时间 准滑动模态 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]