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Stability analysis of a multi-model predictive control algorithm with application to control of chemical reactors

Lookup NU author(s): Dr Leyla Ozkan

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Abstract

We study a stabilizing multi-model predictive control strategy for controlling nonlinear process at different operating conditions. The control algorithm is a receding horizon scheme with a quasi-infinite horizon objective function that has finite and infinite horizon cost components. The finite horizon cost consists of free input variables that direct the system towards a terminal region which contains the desired operating point. The infinite horizon cost has an upper bound and steers the system to the desired operating point. The system is represented by a sequence of piecewise linear models. Based on the condition of the system states, the sequence of piecewise linear models is updated and the controller's objective function switches form quasi-infinite to infinite horizon objective function. This results in a hybrid control structure. A recent approach in the analysis of hybrid systems that uses multiple Lyapunov functions is employed in the stability analysis of the closed-loop system. The stabilizing hybrid control strategy is illustrated on two examples and their closed-loop stability properties are studied. © 2005 Elsevier Ltd. All rights reserved.

Publication metadata

Author(s): Ozkan L, Kothare MV

Publication type: Article

Publication status: Published

Journal: Journal of Process Control

Year: 2006

Volume: 16

Issue: 2

Pages: 81-90

ISSN (print): 0959-1524

ISSN (electronic): 1873-2771

Publisher: Elsevier

URL: http://dx.doi.org/10.1016/j.jprocont.2005.06.013

DOI: 10.1016/j.jprocont.2005.06.013

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