Transfer Function Approach to the Model Matching Problem of Nonlinear Systems

The mainstream for the analysis and synthesis of nonlinear control systems is the so-called state space approach. The Laplace transform of a nonlinear differential equation is non tracktable and any transfer function approach was not developed until recently. Herein, we show that one may use such mathematical tools to recast and solve the model matching problem. Note that the latter was originaly stated for linear time invariant systems, in terms of equality of the transfer function of both the model and the compensated system.