带有干扰的时变系统的变结构鲁棒控制  

Variable structure robust controller for linear time-varying systems with disturbances

作　　者：顾建忠[1] 武玉强[2] 

机构地区：[1]烟台师范学院数学与信息学院,山东烟台264025 [2]曲阜师范大学自动化研究所,山东曲阜273165

出　　处：《控制理论与应用》2006年第3期475-479,共5页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60174042);山东省自然科学基金资助项目(Y2003G02);校科研启动经费资助项目(000463)

摘　　要：对含有未知时变参数和外界干扰的单输入单输出线性时变系统,给出了一种变结构鲁棒输出跟踪控制器.系统参数不限定为慢时变或者结构已知的,只要求光滑有界且所需高阶导数有界.通过引入辅助信号和带有记忆功能的正规化信号,以及适当选择控制器参数,该变结构控制器能保证闭环系统所有信号的有界性,跟踪误差能被调整到任意小的范围内.A variable structure robust controller is given for single-input and single-output linear time-varying systems with disturbances. Time-varying parameters are not restricted to be either slow time-varying or of known structure. Here only the smooth condition and boundedness of system parameters are required. By introducing some auxiliary signals and normalized signals with memory functions and appropriate choice of controller parameters, the proposed variable structure robust control scheme guarantees the uniform boundedness of all signals in the closed-loop system and the convergence of the tracking error to stay in an arbitrarily small compact set.

关 键 词：线性时变系统 快时变参数 变结构鲁棒控制 辅助误差信号 全局稳定性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]