System Embedding. Control with Reduced Observer

Abstract

Two interrelated problems—design of the reduced observer of plant state separately and together with its control system—were considered from the standpoint of designing the multivariable linear systems from the desired matrix transfer functions. The matrix equations defining the entire constructive class of solutions of the posed problems were obtained using the system embedding technology. As was demonstrated, control based on the reduced observer is capable to provide the desired response to the control input, as well as the response to the nonzero initial conditions, only for the directly measurable part of the components of the state vector. An illustrative example was presented.