Transfer function matrix synthesis of two-dimensional systems

This paper considers the problem of matching the transfer function matrix of a given two-dimensional system to that of a desired two-dimensional model using output feedback. The approach followed is essentially based on the idea of equating the coefficients of the like terms in the relationship where is the closed-loop transfer function matrix and is the model transfer function matrix. This approach reduces the problem to that of solving a linear system of equations. Furthermore, necessary and sufficient conditions are established for exact matching. An example is included to illustrate the proposed method.