线性滞后广义系统的二阶滑模控制方法  

Second-order sliding mode control for singular systems with time-delay

作　　者：肖剑[1] 梁家荣[2] 樊仲光[1] 

机构地区：[1]广西大学数学与信息科学学院,广西南宁530004 [2]广西大学计算机与电子信息学院,广西南宁530004

出　　处：《纯粹数学与应用数学》2010年第3期478-483,共6页Pure and Applied Mathematics

基　　金：国家自然科学基金(60564001);教育部"新世纪优秀人才支持计划"专项基金(NCET-06-0756)

摘　　要：讨论了时滞广义系统在不同条件下的变结构控制,根据终端滑模控制的特点,提出了一种由线性滑模与终端滑模构成的二阶终端滑模及相应控制策略.研究结果表明,该方法能够有效地清除系统的高频抖振,同时保证闭环系统的渐近稳定,实现滑模运动.举例说明了设计的合理性和有效性.In this paper,variable structure control for singular systems with time-delay are considered under different conditions,and considering the character of the terminal sliding mode,one second-order sliding mode consisted of one linear sliding mode and one terminal sliding mode is proposed.meanwhile,the corresponding control scheme is presented.It is shown that by this design the high frequency chattering of the control signals is eliminated while the asymptotic stability of the closed-loop system is guaranteed.The rationality and the effectiveness of the designing method are illustrated by a numerical example.

关 键 词：广义系统 终端滑模 变结构控制 渐近稳定 

分 类 号：O23[理学—运筹学与控制论] TP13[理学—数学]