一类多变量自校正控制器及其收敛性的研究

本文结合极点配置的基本设计思想,提出了一类具有输出跟踪的多变量自校正控制算法。该算法将工程应用中提出的要求与系统的性能指标联系起来,实现了闭环极点配置的广义最小方差控制,而性能指标中加权多项式矩阵R(z~(-1))的选取是根据使闭环系统输出对参考信号实现稳态无偏跟踪的原则进行的。进而运用Martingle收敛理论对算法进行了研究,导出了控制器的无偏收敛条件。数字仿真研究表明了该算法的可行性和有效性。

A Class of Multivariable Self-Tuning Controller and Its Convergence Analysis

This Paper discusses a class of multivarable self-tuning controller with generalized cost-function. Relating to the demands of the engineering application with the cost-function, a generlized minimum-variance control strategy with prespecified closed-loop pole assignment is developed. Meanwhile the polynomial matrix R(Z-1)in the cost-function is so determined as to elimineting the steady state output tracking error of the system. when the parameters of the system are unknown, the parameters of the controller may be estimated directly by using a muitivariable recursive least squares method. The convergent property of the proposed approach is given by using the Martingale convergence theory and the convergence conditions are also given .Simulation results show that the feasibility and the effectiveness of the proposed algorithm.