“自加权”准优势化方法

The Self Weighting Pseudo-domination Algorithm

多变量频域设计技术的核心是设计一个预补偿器,使补偿后的系统为对角优势的。本文提出的“自加权”准优势化方法,可以根据对象的优势度曲线,选择n个频率点,并由计算机实现加权,设计出动态预补偿器,使补偿后系统在工作频率范围内优势度曲线基本为一水平线;而且把求(α+β+1)m×(α+β+1)m维矩阵的特征值特征向量化为求2×2矩阵的特征值特征向量,减少了计算量,提高了计算精度,也便于编程。对实例进行设计,取得了满意的效果。

This paper presents an algorithm called self weighting pseudo domination. The algorithm maximizes the diagonal domination of system with a self weighting cost function. With the algorithm, one can design a compensator to diagonalize the open loop transfer function of some MIMO systems in almost all their working frequency bands. Compared with other similar algorithms, the proposed algorithm reduces the executing time and memory space considerably. Higher precision is also obtained. Having been used in some practical designs, the algorithm has been proved effective.