基于MATLAB的最小实现问题

The Minimum Realization Based on MATLAB

对于一个可实现的传递函数阵来说,将有无穷多的状态空间表达式与之对应。如何求出系统的最小实现,特别是对于多输入多输出系统,其计算较为复杂。文章将传递函数阵化为能观标准型,然后用matlab中的minreal工具消去输入解耦零点,从而得出系统的最小实现,并给出了一个具有实用价值的MATLAB通用程序。

There are infinite state space expressions corresponding to a realizable transfer function. The calaulation process of minimum realization of a system, especially multi-input and multi-output, is complex. This paper presents a method. The transfer function matrix is changed into the form of observability standard, and input decoupling zero is removed by using the minreal tool of MATLAB.As a result, minimum realization of the system is got.In the end, a useful universal program of MATLAB is given.