一类时滞线性系统的变结构控制  

VARIABLE STRUCTURE CONTROL FOR A CLASS OF TIME-LAG LINEAR SYSTEMS

作　　者：郑锋[1] 程勉[1] 高为炳[1] 

机构地区：[1]北京航空航天大学七研

出　　处：《自动化学报》1995年第2期221-226,共6页Acta Automatica Sinica

基　　金：国家自然科学基金;航空科学基金

摘　　要：研究一类状态变量具有时滞的线性系统的变结构控制问题，指出传统的切换函数在时滞系统中应当是一个切换泛函，给出了在系统谱能控条件下具有稳定滑动模态的切换泛函的设计方法．并利用趋近律设计了相应的变结构控制器．得到了一般时滞系统能够变换为所需要的时滞系统的条件．The variable structure control for a class of linear systems with delays in state variables is studied in this paper. It is shown that switching functional should be used for variable structure control systems with delays occuring in state variables,while it is well known that switching function is usually used for systems in which there is no delays in states or in control. The design method for the switching functional which leads to stable sliding modes is presented if the system is spectrally controllable. The variable structure controller is obtained by the use of asymptotic law. The sufficient and necessary condition for the existence of the transformation which can be used to transform a general time-lag linear system into the class of systems discussed in this paper is given.

关 键 词：时滞系统 变结构控制 线性系统 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置]