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Variable structure control for discrete-time singular system based on reaching law with dynamic disturbance compensator

机译:基于动态扰动补偿器的到达律的离散广义系统变结构控制

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Synthesis problem of variable structure control (VSC) for discrete-time singular system (DSS) with internal parameter perturbation and external disturbance is considered in this paper. The dynamic switching function which is used to guarantee the stability of the control system in the switching band is provided. The discrete singular reaching law with dynamic disturbance compensator is designed to eliminate the restriction of the system uncertainties is bounded and the satisfaction of matching conditions compared with conventional VSC. Essential condition of sliding mode which can cross the switching plane step by step is considered. The discrete singular variable structure controller is designed by applying the reaching law, which can guarantee the system to reach the switching plane in finite time, decrease the system chattering effectively and enhance the dynamic quality of the control system. Simulation results illustrate the feasibility and validity of the proposed approach.
机译:研究了具有内部参数摄动和外部干扰的离散时间奇异系统(DSS)的变结构控制(VSC)的综合问题。提供了动态切换功能,用于确保控制系统在切换频带中的稳定性。设计了带有动态扰动补偿器的离散奇异到达律,与传统的VSC相比,消除了系统不确定性的限制和匹配条件的满足。考虑了可以逐步跨越切换平面的滑动模式的基本条件。应用到达定律设计了离散奇异变结构控制器,可以保证系统在有限的时间内到达交换平面,有效地减少了系统的颤动,提高了控制系统的动态质量。仿真结果说明了该方法的可行性和有效性。

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