不确定离散系统的保性能扰动抑制方法

摘要

Based on the idea of the equivalent-input-disturbance, both the external disturbances and model uncertainties were treated as the whole disturbance imposed on the input channel of the discrete system. This paper presented a disturbance rejection method for uncertain discrete systems using guaranteed cost control. Then the system was constructed using the internal model and state feedback for disturbance rejection. The stability condition of the system was obtained by using the Lyapunov method. The controller gain was optimized by introducing the guaranteed cost index. Simulation results show that this method obtains good disturbance rejection performance.%基于等价输入干扰的思想，将离散系统的外界扰动及模型不确定性均视为系统的扰动，等价到系统的输入端，提出一种不确定离散系统的保性能扰动抑制方法。采用基于内模及状态反馈的结构进行扰动抑制设计，利用李亚普诺夫方法得到控制系统的稳定性条件。并引入保性能优化指标，对控制器增益进行优化设计。仿真结果显示，该方法能够获得良好的扰动抑制效果。