Robust Exact Model Matching for SISO systems via Finite Precision Dynamic Output Feedback

The problem of robust exact model matching is studied for the case of SISO discrete-time linear systems with nonlinear uncertain structure. The problem is solved using finite precision dynamic output feedback controllers. The controller is restricted to be independent from the uncertainties. Necessary and sufficient conditions for the problem to have a solution are established. The general solution for the controller parameters is derived. Moreover, sufficient conditions for robust exact model matching with simultaneous robust asymptotic stability are derived