Model reference adaptive control with L 1+α tracking
- 1 July 1996
- journal article
- research article
- Published by Taylor & Francis Ltd in International Journal of Control
- Vol. 64 (5), 859-870
- https://doi.org/10.1080/00207179608921661
Abstract
A redesign of model reference adaptive control using a non-quadratic Lyapunov function for deriving a new adaptive law leads to a tracking error e(t) belonging to the L 1+α signal space for plants with relative degree one, where α > 0 is a design parameter. A choice of 0 < α < 1 leads to the energy of |e(t;)|(1+α)/2 smaller than that with the standard adaptive law for α = 1. Simulation results indicate that the new adaptive control scheme with0 < α < 1improves system tracking performance. Preliminary analysis shows that the new scheme with a projection modification is also robust with respect to external disturbances.Keywords
This publication has 1 reference indexed in Scilit:
- A robust direct adaptive controllerIEEE Transactions on Automatic Control, 1986