控制存在时滞的系统的变结构控制

Variable Structure Control of Systems with Delays in Control

本文研究控制存在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。在系统绝对能控的条件下,给出了具有稳定滑动模态的切换泛函的设计方法。利用趋近律概念给出了相应的变结构控制器。

The variable structure control of linear systems with delays in control is studied in this paper. It is shown that the conventional switching function for variable structure systems with delays neither in states nor in control is substituted by switching functional in a suitable functional space for systems with delays in control. The design method for the switching functional which leads to stable sliding modes is presented if the system is absolutely controllable. The variable structure controller is obtained by use of the concept of approaching law.