Model reference adaptive control of a time-varying parabolic system

Abstract

Related to the error dynamics of an adaptive system, averaging theorems are developed for coupled differential equations which consist of ordinary differential equations and a parabolic partial differential equation. The results are then applied to the convergence analysis of the parameter estimate errors in the model reference adaptive control of a nonautonomous parabolic partial differential equation with lowly time-varying parameters.

A note on the model reference adaptive control of linear parabolic systems with constant coefficients

“…Compared to the finite dimensional systems, adaptive control techniques have been developed for only a few classes of partial differential equations. In the last several years, there has been an ever increasing effort devoted to the adaptive control of linear parabolic systems, see [1,[6][7][8][9][10][11][12], to name just a few.…”

Model reference adaptive control of a flexible structure

“…Hong and Bentsman (1994) considered the MRAC of a linear parabolic partial differential equation and established the exponential stability of the closed loop system by applying averaging. The MRAC for a timevarying parabolic system was also investigated in Hong et al (2000).…”