Non-quadratic Lyapunov function and adaptive laws for model reference adaptive control

A non-quadratic Lyapunov function and new adaptive laws for model reference adaptive control are presented. These adaptive laws use a new signal, the cube of the system output error signal e³, unlike the ordinary system output error e. Their performance in an adaptive system is promising. Simulation results show that these adaptive laws yield improved performance, along with the assurance of Lyapunov stability