Input-output linearization by dynamic output feedback

The problem of input-output linearization by dynamic output feedback of discrete-time multi-input multi-output nonlinear control systems is considered in this paper. The system is described by the set of higher order input-output difference equations. First, an algorithm is given to find a set of functions, which are then used to provide sufficient solvability conditions and the equations of the dynamic output feedback. The results are specified for the special subclass of systems, called ANARX systems and comparisons with the single-input single-output case is made.