Title :
A study on a class of MRAC algorithms
Author :
Repperger, D.W. ; Lilly, J.H.
Author_Institution :
Air Force Res. Lab., Wright-Patterson AFB, OH, USA
fDate :
6/21/1905 12:00:00 AM
Abstract :
A class of model reference adaptive control (MRAC) algorithms is investigated which has the special property that the Lyapunov function (and its associated time derivative) describing convergence are quadratic functions of both the position tracking error and the parameter estimation error. A nonlinear equation describing the class of algorithms that provide this type of adaptation is derived. One possible solution to this nonlinear equation is proposed which is stable and produces consistent parameter estimates
Keywords :
Lyapunov methods; convergence; model reference adaptive control systems; nonlinear equations; parameter estimation; tracking; transfer functions; Lyapunov function; MRAC algorithms; model reference adaptive control algorithms; parameter estimation error; position tracking error; quadratic functions; Adaptive control; Error correction; Estimation error; Laboratories; Laplace equations; Lyapunov method; Nonlinear equations; Parameter estimation; Tracking; Trajectory;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.827784
