多输入系统能控规范型的改进算法

New Implement Methods to Getting Controllable Canonical Forms of the Multi-input System

分析了求多输入线性系统能控规范型算法的不足,提出了一种新的改进型求解线性定常系统能控规范型的迭代算法。该算法在可控性矩阵中将输入矩阵用其列向量的极大线性无关组代替,并使用矩阵的行初等变换;还能求出系统不可控时的规范表达式。该算法较原算法思路清晰、计算量小,并且容易在计算机上实现。

The shortages of algorithms for getting controllable canonical forms of the multi-input system in current references are analyzed. New modified algorithms for getting controllable canonical forms of the multiinput system have been put forward. By using the elementary row transformation in the controllable matrix, the input matrix is replaced by the maximally linear independent set of its column vectors. These algorithms can also perform the canonical forms in the systems are not controllable. It is a clear ways of thinking, less computing work and feasible to realize in computer.