Implementation of column-pseudoproper right matrix fraction descriptions with cascaded or parallel active RC networks

An effective and constructive approach for implementing the so-called column-pseudoproper right matrix fraction descriptions defined by Tan and Vandewalle with cascaded or parallel active RC networks is presented. The resulting structure contains m sets of decoupled RC-voltage amplifier networks in a cascaded form or in a parallel form, for structuring accessible intermediate states. A state-feedback control law is applied around the auxiliary network for the realization of the desired overall voltage matrix fraction descriptions. The proposed cascaded and parallel RC networks have shown good sensitivity and stability properties.