Adaptive control systems with L/sup 1+α/ tracking

A redesign of model reference adaptive control is proposed using a non-quadratic Lyapunov function to derive a new adaptive law. For systems with relative degree one such a redesign ensures a tracking error which belongs to L/sup 1+α/. A choice of 0 < α < 1 leads to a generically faster convergence of the tracking error to zero than the standard adaptive law with α = 1. Simulations indicate that such a redesign improves system tracking performance.