A. Fradkov et al., Semi-adaptive control of convexly parametrized systems with application totemperature regulation of chemical reactors, INT J ADAPT, 15(4), 2001, pp. 415-426
Citations number
17
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING
In this paper, we are interested in the problem of adaptive control of non-
linearly parametrized systems. We investigate the viability of defining a s
tabilizing parameter update law for the case when the plant model is convex
on the uncertain parameters. We show that, when the only prior knowledge i
s convexity, there does not exist an adaptation law - derivable from the st
andard separable Lyapunov function technique of Parks - applicable for all
the state space. Therefore, we propose a semi-adaptive state feedback contr
oller where adaptation takes place only in the region of the state space wh
ere convexity can be used to reduce parameter uncertainty. In the remaining
part of the state space we freeze the adaptation and switch to a robust co
ntroller. This scheme ensures semi-global stability for convexly parametriz
ed non-linear systems with matched uncertainty. The proposed controller is
then applied to the problem of temperature regulation of continuous stirred
exothermic chemical reactors where reaction heat is convex in the uncertai
n parameters. Copyright (C) 2001 John Wiley & Sons, Ltd.