多输入离散不确定时滞系统变结构控制设计

研究了多输入离散不确定时滞系统的变结构控制问题。首先对原离散时滞不确定系统进行了化简,将其归结为一个无时滞的不确定离散系统形式;在此基础上提出了一种新的变结构控制设计方法和控制律算法,并给出了动态性能比较。对于不确定性为慢变的情况,该算法能使空间任意点出发的运动,都在有限时间内到达滑动模态的设定邻域,渐近稳定的到达到原点,且抖振以指数速率衰减到零。仿真结果表明了方法的有效性。

Variable structure control for multi-input discrete uncertain systems with control delay

The variable structure control for multi-input discrete uncertain systems with control delay is studied.The original discrete uncertain system with control delay is simplified to a discrete uncertain system without time-delay,and a novel variable structure control strategy for the discrete uncertain system is developed.When the uncertainty change is slow,the sliding mode is achieved with this control strategy,which drives the system to reach and remain in the neighborhood about the intersection of a set of prescribed sliding manifolds in finite time,and then asymptotically reach the equilibrium point.The simulation results prove the validity of the proposed approach.