用奇异摄动法设计线性二次型准最优直流控制系统

利用线性最优调节器理论可以设计出具有良好性能指标的晶闸管直流电机控制系统。这种设计方法优于传统的“双环系统”设计。然而,求解Riccati方程的计算量相当大。为寻求最佳加权Q阵,可能耗费许多时间。采用奇异摄动法设计准最优线性系统时,可以化高阶为低阶,从而简化计算工作量。本文利用奇异摄动理论设计了一个晶闸管直流电动机系统。已肯定本法适应于此类设计。本文还比较了不同设计方法所达到的动态性能。

DESIGN OF A LINEAR QUADRATIC SUBOPTIMAL D.C.CONTROL SYSTEM BY SINGULAR PERTURBATION METHOD

A D.C. motor control system with better performance indexes may be designed by the linear optimal regulator theory.This design method is superior to the conventional"double-loop system" design. However, the amount of computation to solve the matrix Riccati equation is considerably large. In order to find an optimal weighting matrix Q, many time might be wasted. The suboptimal design of linear system by a singular perturbation method can reduce a"high-order' plant to"low-order" one, thus simplifying the computational task. This paper makes use of the singular perturbation theory to a thyristor-controlled D.C. motor system. This method is confidently suitable for this design. A comparison of dynamic characteristics achieved by different designs is also given.