控制系统最优降阶技术与应用

Control System Optimal Reduction Technique and its Applications

本文给出一种新的控制系统最优降阶技术并介绍其在控制系统设计中的应用。文中引入的最优降阶准则是在指定输入信号时，对降阶模型与原始模型之间误差的加权最小积分方差。本文重点讨论连续系统的降阶算法，但结论同样适合于离散时间系统。文中还将通过一个例子来演示本方法和其它传统方法相比的优越性．

In this paper, an optimal reduction technique and its applications in control system design are described. The optimal reduction criterion defined in this paper is to minimise the weighted integral equared error between the output of original model and that of the reduced order one when they are subjected to the same input signal. Considerations are made mainly for continuous systems, however it holds for discrete-time systems as well. An illustrative example is given in this paper to show the merit of the algorithm in comparison with the conventional ones.