研究了带有系统内部参数摄动和外部干扰的离散时间系统变结构控制综合问题.给出了非匹配不确定离散时间系统带有扰动动态补偿的理想趋近律,消除了常规变结构控制中不确定项必须有界和满足匹配条件的限制.所设计的变结构控制器在有限时间内可达切换面,有效地削弱了系统抖振,减小了切换带带宽,改善了系统动态品质.仿真结果验证了该方法的可行性和有效性.%Synthesis problem of Variable Structure Control (VSC) for mismatched uncertain discrete-time systems with internal parameter perturbation and external disturbance was researched. The ideal reaching law with dynamic disturbance compensator of mismatched uncertain discrete-time systems was designed to eliminate the restriction of the system uncertainty bounded and the satisfaction of matching conditions compared with VSC by conventional reaching law. Discrete variable structure controller was designed by applying this type of reaching law, which not only guaranteed the system to reach the switching surface in finite time and decreased the system chattering effectively, but also reduced the region of the switching belt and enhanced the dynamic quality of the control system. The simulation results illustrate the feasibility and validity of the proposed approach.
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