Synthesis of voltage matrix fraction descriptions with cascade or parallel active RC networks

Abstract

With the aid of the structural theories of multivariable control systems in the time domain and in the frequency domain, two simple methods are developed for the realisation of general voltage matrix fraction descriptions without using integrators and multiwinding transformers. The basic approach of the paper is to construct an auxiliary network, which contains m sets of decoupled RC-voltage amplifier networks in a cascaded form or in a parallel form, for the establishment of accessible intermediate states and then apply state-feedback and state-feedforward control laws around the auxiliary network for the realisations of the desired overall voltage matrix fraction descriptions. The proposed methods provide simple procedures for the realisation of multivariable compensators and multiport filters for multivariable control systems and multiport networks.