从可解耦线性多输入多输出(Multi-input multi-output,MIMO)系统的结构特性指数出发,根据此类系统解耦后系统的可观测矩阵与基本向量矩阵的秩的关系,提出了按照这种关系将解耦规范型划分为4大类的观点,同时给出了一种针对各类积分型解耦系统构造相应的非奇异变换矩阵的构造方法.分析了解耦规范型及其变换矩阵的时域结构形式,通过一系列定理的证明,从一般意义上解释了解耦规范型的结构与变换矩阵的关系,并通过一个数值实例验证了所提出方法的正确性及可行性.%In this paper, based on the structure characteristic index of linear multi-input multi-output (MIMO) system which can be decoupled, we propose that the decoupling canonical form of the linear MIMO system can be divided into 4 classes according to the correlation between the rank of observable matrix of the decoupling system and the rank of basic vector matrix. Meanwhile, we put forward an approach for obtaining different nonsingular transformation matrixes for different integral decoupled systems. Then, we analyze the time domain structures of the decoupling canonical form and the transformation matrixes, and give an elaborate proof of a series of theorems in order to interpret the correlation between the decoupling canonical form and the transformation matrix. Finally, the validity and feasibility of the method are verified by a numerical example.
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