This paper deals with the problem of designing a model following control system for a multivariable linear, time-invariant, continuous system, in which the state variables of the plant are not available, but the parameters are assumed to be known, and only the inputs and outputs can be measured.
In order to solve the problem, all the zeros of the plant are assumed to be in the left-half plane, and it is also assumed that the relative degree in each row of the transfer matrix of the plant is not higher than that of the reference model.
First, based on the assumption that all the state variables of the plant can be measured, the controller is synthesized such that the output errors between the plant and the reference model, or the output errors between augmented system with respect to the plant and that of the reference model become to zero asymptotically. Then it is shown that the transfer matrix from the reference inputs to the outputs of the plant is matched to that of the reference model.
Second, in the case where the state variables of the plant are not available, a scheme which estimates the state variables of the plant from only inputs and outputs is employed. But the control inputs to the plant can be given without carrying out the explicit state estimation.
Finally, simulation results of the different cases are shown to justify the proposed scheme.
View full abstract