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Semi-adaptive control of convexly parametrized systems with application to temperature regulation of chemical reactors

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Fradkov, A Ortega, R. Bastin, Georges [UCL]

In this paper, we are interested in the problem of adaptive control of non-linearly parametrized systems. We investigate the viability of defining a stabilizing parameter update law for the case when the plant model is convex on the uncertain parameters. We show that, when the only prior knowledge is convexity, there does not exist an adaptation law - derivable from the standard separable Lyapunov function technique of Parks - applicable for all the state space. Therefore, we propose a semi-adaptive state feedback controller where adaptation takes place only in the region of the state space where 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 controller. This scheme ensures semi-global stability for convexly parametrized 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 uncertain parameters. Copyright (C) 2001 John Wiley & Sons, Ltd.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2001
Language Anglais
Journal information "International Journal of Adaptive Control and Signal Processing" - Vol. 15, no. 4, p. 415-426 (2001)
Peer reviewed yes
Publisher John Wiley & Sons Ltd (W Sussex)
issn 0890-6327
e-issn 1099-1115
Publication status Publié
Affiliation UCL - FSA/INMA - Département d'ingénierie mathématique
Links
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Bibliographic reference Fradkov, A ; Ortega, R. ; Bastin, Georges. Semi-adaptive control of convexly parametrized systems with application to temperature regulation of chemical reactors. In: International Journal of Adaptive Control and Signal Processing, Vol. 15, no. 4, p. 415-426 (2001)
Permanent URL http://hdl.handle.net/2078.1/42680