Abstract
In this paper, a design of the state predictive model following control system with time delays and disturbances is discussed. The design of the control system is constructed using the easy algebraic algorithm of matrices whose elements are polynomials of the three kinds of operators. Boundedness of the inner states for the control system is given and the utility of this control design is guaranteed. It is confirmed on basis of a numerical example that the output signal of the control system asymptotically follows the reference model signal in the case of the existence of disturbances.
