In this article, a parametric predictor is constructed to predict the future state of a discrete-time linear system with a known constant input delay and external disturbances by introducing a tuning parameter. Then, a predictor-based feedback controller is given to attenuate the unknown disturbance signal. The ultimate bound of the state of the resulted closed-loop system is obtained when the state feedback control law based on this novel predictor is utilized. Based on the expression of the ultimate bounds, the capacity to attenuate the unknown disturbance is analyzed for the parametric predictor within a certain range of parameters. An easily calculated interval is provided for the range of the tuning parameter such that the proposed predictor achieves a better disturbance attenuation capacity. Moreover, for the unknown constant disturbance, the estimation error between the proposed predictor with an arbitrary parameter and the future state can be eliminated. Finally, two numerical examples are utilized to illustrate the effectiveness of the proposed parametric predictor for bounded time-varying disturbances.

中文翻译：

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具有输入延迟的离散时间线性系统扰动衰减的参数预测器


在本文中，构建了参数预测器，通过引入调整参数来预测具有已知恒定输入延迟和外部干扰的离散时间线性系统的未来状态。然后，给出基于预测器的反馈控制器来衰减未知的干扰信号。当利用基于这种新型预测器的状态反馈控制律时，可以获得所得到的闭环系统的状态的最终界限。基于极限界限的表达式，分析了参数预测器在一定参数范围内衰减未知扰动的能力。为调整参数的范围提供了一个易于计算的区间，使得所提出的预测器实现了更好的干扰衰减能力。此外，对于未知的常量扰动，可以消除所提出的具有任意参数的预测器与未来状态之间的估计误差。最后，利用两个数值例子来说明所提出的参数预测器对于有界时变扰动的有效性。