Model Matching for MIMO Reference Models with Time Varying Parameter

The model matching is a useful tool for control applications. The desired dynamics of practical systems often depends on time-varying parameters. This paper gives the feed forward compensator so that the model matching for the reference model with time-varying parameter is attained. In deriving the compensator, we propose the sufficient condition so that the feed forward compensator exists. The results are the natural generalization of the SISO problem and the LTI case. Numerical simulations also confirm the effectiveness of the obtained results.