Nonparametric Model Matching of Linear Time-Invariant Multivariable Systems

This paper considers the problem of matching a system under control to a model using output feedback when both the given system and the model are described by nonparametric models, such as the impulse response matrix. Conditions are established for exact matching, the problem being reduced to that of solving a linear system of equations. The present paper constitutes the first results in non-parametric model matching which appear to be very suitable for practical applications.