Stable adaptive control of a class of first-order nonlinearly parameterized plants

1 January 1995

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control

Vol. 40 (2) , 347-350
https://doi.org/10.1109/9.341808

Abstract

Stable adaptive control algorithms are designed for a class of first-order nonlinearly parameterized plants containing nonlinearities similar to those arising in fermentation process models. When the plant nonlinearity is conveniently parameterized and when the controller parameters are adjusted adaptively, the output error is shown to converge to zero. Stability of the overall system is proved using the Lyapunov function with a suitably chosen cubic term.

Keywords

ADAPTIVE CONTROL
LYAPUNOV METHOD
EQUATIONS
ALGORITHM DESIGN AND ANALYSIS
PROGRAMMABLE CONTROL
ADAPTIVE ALGORITHM
MICROORGANISMS
FEEDS
ERROR CORRECTION
STABILITY

This publication has 1 reference indexed in Scilit:

Global adaptive output-feedback control of nonlinear systems. II. Nonlinear parameterization
IEEE Transactions on Automatic Control, 1993