直接基于传递函数矩阵的多输入多输出系统的设计方法

There are two kinds of method for MIMO system analysis and design: frequency domain method and state space method. In practice, the usual method for express control plant is to give its transfer function (matrix). If we want to use state space method, must to get its minimum realization first, but it may be met some numerical problem, and difficult to get the directly perceived concept and knowledge. In this project, we have solved the problem of process transfer function matrix (rational fractor matrix) using computer. On this basis, the open loop (or close loop) expect transfer function design method for MIMO system was proposed. This method do not need to get any minimum realization, it is established on the operations for the transfer function matrix of the system directly.

我们已经解决了在纯数值环境下实现多项式以及有理分式矩阵的数学表达式和结构运算问题，就有可能发展一种多输入多输出系统设计的新方法，它不需要对系统进行任何“实现”，也不需要进行对角优势预补偿，而直接建立在对系统的传递函数矩阵的操作上。它可以将单输入单输出中的频率特性设计方法直接推广到多输入多输出的情况。