多输入离散时滞系统的变结构控制设计

研究多输入时滞离散系统的变结构控制问题．首先将离散时滞系统简化为无时滞离散系统，在此基础上提出一种新的变结构控制设计算法．该算法能使从空间任意点出发的运动在有限时间内准确到达并保持在切换面上，不发生切换面的穿越，有效地消除了抖振．数值计算和仿真结果表明了该方法的有效性．

Variable Structure Control for Multi-input Discrete Systems with Control Delay

The problem of variable structure control for multi-input linear discrete systems with control delay is considered. The original discrete system with control delay is simplified to a linear discrete system without timedelay, and a novel chattering-free variable structure control strategy for the discrete system is developed. The sliding mode is attained by this control law which drives the system to reach and remain on the intersection of a set of prescribed sliding manifolds in finite time. The switching surface will not be passed through, so the chattering behaviors will not occur. The simulation results verify the validity of the proposed approach.