引用本文:金亿创 ,孙增圻.求多输入多输出有理传递函数的最小实现的一种算法[J].控制理论与应用,1987,4(4):90~95.[点击复制]
Jin Yichuang, Sun Zengqi.AN ALGORITHM FOR TRANSFORMATION OF A RATIONAL TRANSFER MATRIX TO MINIMAL REALIZATION OF STATE EQUATIONS[J].Control Theory and Technology,1987,4(4):90~95.[点击复制]
求多输入多输出有理传递函数的最小实现的一种算法
AN ALGORITHM FOR TRANSFORMATION OF A RATIONAL TRANSFER MATRIX TO MINIMAL REALIZATION OF STATE EQUATIONS
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DOI编号  
  1987,4(4):90-95
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英文关键词  
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作者单位
金亿创 ,孙增圻 清华大学 
中文摘要
      本文叙述了多输入多输出有理传递函数到状态方程的最小实现的方法。在所述的算法中用SVD分解求得最小实现的维数,再求解一系列相当于系数矩阵为上三角阵的线性方程组,得出最小实现的状态方程系数矩阵A、B、C。
英文摘要
      In this paper an algorithm for minimal realization of a multi-input and multi-output transfer function matrix is presented. The algorithm uses SVD(Singular Value Decomposition) to compute the dimension of minimal realization. For the computation of matrices A, B, C, a set of linear equations with coefficient matrix of upper triangle is only needed to solve. An example is included to show the procedure of the algorithm.