Evaluation of the RMMAC/XI method with time-varying parameters and disturbance statistics

We demonstrate, using Monte-Carlo simulations, the robust performance of the adaptive control methodology denoted by RMMAC/XI introduced and discussed (Fekri and Athans, 2006 and 2005). The RMMAC/XI architecture can handle simultaneous time-variations in the plant uncertain parameters as well as the disturbance intensity statistics. We compare the RMMAC/XI performance vs that of the best possible robust nonadaptive design using the same physical example described (Fekri and Athans, 2006 and 2005 ; and Rosa et al., 2007). Whenever possible, we also compare the RMMAC/XI performance with that of the (unrealizable) "perfect model identification (PM.ID)" introduced in the work of Rosa et al. (2007).