A New Lyapunov Function forModel Reference Adaptive Control Systems

In this paper a new Lyapunov function for Model Reference Adaptive Control (MRAC) systems is introduced.The proposed function leads to a new adaptation law which results are benefits such as: better performance, less sensitivity to the reference amplitude, fast adaptation and oscillation elimination in control signal. In addition, proposedNLF method ensures the stability of the close loop system since using Lyapunov stability theory. Simulation significantly shows that the proposed NLF-MRAC has better to the other methods.

Keywords:

Model reference adaptive control , Normalized Lyapunov function , fast adaptation , amplitude sensitivity