受扰变时滞离散系统的滑模控制

Sliding Mode Control for Discrete-time Systems with Variable Time-delay and Disturbance

针对受扰变状态时滞的离散时间系统,提出了基于切换函数运动方程的控制策略。基于内模原理,设计了关于切换函数与干扰模型的反馈控制律,实现了滑模控制器设计,保证系统趋于滑模面并渐近稳定。

A strategy is proposed based on sliding mode equation for a kind of discrete-time system with variable state time-delay and disturbance.Based on the Inner Model Principle,a new feedback control law is designed about the disturbance signal model and the switching function,it guarantee the switching function to be asymptotically stable while the disturbance exists.This means that the switching function can be asymptotically stable and the state of the original system can be asymptotically stable.The bad influence caused by the change of control structure is avoided.