Simple model matching control of nonlinear discrete time systems

This paper treats a new method for control design, called a simple model matching (SMM), not only for linear, but also for nonlinear discrete time systems with/without time lags. This method is different with the conventional model matching (MM) which is restricted to linear systems. SMM is the one which makes the system output coincides with the desired output in one step. Conventional MM is, on the other hand, to make a closed loop system matching with the desired system. Some features of the SMM are (1) It is very simple to be derived, (2) It is useful for linear and nonlinear discrete time systems with/without time lags, (3) Decoupling control is easily realized for multivariable systems. From these advantages described above, the SMM can be recognized as a unified approach for discrete time systems. Multivariable case of this method is presented in this paper with some additional consideration on time lag. Integral action is also discussed in detail with some simulation studies.