A New Approach for solving Model Reference Adaptive Control Problem for Fast Time-Varying Unknown Plants with Relative Degree One

Motivated by recent advance in designing adaptive control to time-varying plants, a new standard model reference control (MRC) to fast linear single-input single-output time-varying plants with relative degree one is presented. It is shown that the output error will converge to zero in finite time while all signals inside the closed loop system remain uniformly bounded so long as some design parameters are chosen properly (large). Drastic improvement of the transient response as well as the performance in comparison with the results obtained from existing MRAC approaches can be observed from the simulation results provided.