基于多项式变换的双率最小方差自校正控制

Polynomial Transform Technique Based Minimum Variance Self-tuning Control for Dual-rate Systems

输入输出采样周期相同,而且时间上同步的传统离散时间系统(即单率系统)最小方差控制方法,不适用于输入输出采样周期不相同的双率系统。现提出控制刷新频率是输出采样频率整数倍的未知参数双率系统最小方差自校正控制算法。其基本思想是,利用多项式转换技术得到双率系统的频域模型,设计一个估计器来计算系统的损失输出(即采样间输出),导出了双率系统最小方差控制律,提出了最小方差自校正控制算法。最后用仿真例子说明提出方法的有效性。

The minimum variance （MV） control for the traditional discrete-time systems （namely, single-rate systems） with the same input and output sampling periods is not suitable for dual-rate systems with different input and output sampling periods. The MV self-tuning control methods and with the input updating period being an integer multiple of the idea is, by using a polynomial transform technique, for dual-rate systems with unknown parameter output sampling period is presented. The basic to obtain a frequency-domain model which is suitable forparameter estimation with dual-rate measurement data, and to design an estimator to compute the missing outputs （i. e. , intersample outputs）. Based on the dual-rate model and estimated intersample outputs, the MV selftuning control algorithms are presented. Simulation example shows that the proposed algorithms are effective.