一类离散时间系统的变结构跟踪控制器设计

针对一类具有非匹配不确定的离散时间系统,提出了一种变结构跟踪控制设计方法.该方法通过引入辅助参考信号定义多个滑模面,并借鉴反演法的设计思想进行控制器的设计,同时将对不确定的估计补偿引入到控制器的设计中,以削弱不确定对系统的影响.最后,给出了稳定性分析,并将其应用于导弹非线性控制系统的设计中,通过数字仿真验证了该设计方法的有效性.

Design of Variable Structure Tracking Control for a Class of Discrete-time System

As a new method to estimate the uncertainty, a variable structure tracking controller is proposed to deal with a class of discrete-time system with unmatched uncertainties.Taking advantage of the multiple sliding surfaces and the philosophy of backstepping, the proposed method defines multiple sliding surfaces by auxiliary reference signals, designs a controller based on the philosophy of backstepping, and makes use of the estimation of the uncertainty to reduce the influence of the uncertainty.A detailed stability analysis of the whole system is presented.The proposed control method is applied to the control of a nonlinear missile under unmatched uncertainties, and the simulation shows the effectiveness of the proposed method.