A method for assigning characteristic functions on rational functions is presented herein. In systems with rational characteristic loci, input–output decoupling and commutative compensator design are possible. In this method, unlike previous research, which used the approximation method in a specific frequency range, a perturbation is created in the transfer function such that a new transfer function matrix has rational characteristic functions. It is shown that the stabilization of multivariate systems can be reduced to the stabilization of diagonal multivariate systems. Some examples of the implementation of the method are presented. The proposed method is not based on inverting the transfer function, so it is superior to inverse-based methods. The second priority of our approach is that the characteristic loci do not directly participate in the design process.

这里提出了一种在有理函数上分配特征函数的方法。在具有合理特征轨迹的系统中，输入-输出解耦和交换补偿器设计是可能的。在这种方法中，不同于以往的研究在特定频率范围内使用近似方法，在传递函数中产生了扰动，使得新的传递函数矩阵具有合理的特征函数。结果表明，多元系统的镇定可以简化为对角多元系统的镇定。介绍了该方法实现的一些示例。所提出的方法不是基于反转传递函数，因此优于基于逆的方法。