Synthesis of voltage transfer function matrix with active RC network

Abstract

AbstractThis paper proposes a method of constructing an RC active network to realize a voltage transfer function matrix without using an integrator. the method is based on the fact that an m‐input system of multivariable controllable canonical form can be decomposed into m subsystems of controllable canonical form using state feedback and input transformation. the required m‐input p‐output voltage transfer function matrix is constructed using m passive RC networks and (m + p) summers. the network has the following structure. the capacitor edge voltage of the passive RC network is taken out as the state variable, and the state differential equation is realized by the feedback through the input‐side summers. the output equation is realized by the feedforward through the output‐side summers. the feature of the proposed method is that it is applicable to any proper rational transfer function matrix of any size, not only of the square form. Another feature is that the transfer function matrix can be realized with a fewer number of active elements.