Structural synthesis of multivariable controllers (Q762019)

The paper concerns the problem of achieving a desired transfer matrix between external inputs and controlled outputs of linear multivariable systems by connecting proper, stabilizing controllers between measured outputs and control inputs. Solutions are given in both transfer function and state-space frameworks. A constructive characterization of the class of achievable transfer matrices is given via the theory of transfer function valuations. For each admissible transfer matrix the class of synthesizing controllers is determined.