Distributed control of nonlinear diffusion systems by input-output linearization

Abstract : This paper addresses the distributed control by input-output linearization of a nonlinear diffusion equation that describes a particular but important class of distributed parameter systems. Both manipulated and controlled variables are assumed to be distributed in space. The control law is designed using the concept of characteristic index from geometric control by using directly the PDE model without any approximation or reduction. The main idea consists in the control design in assuming an equivalent linear diffusion equation obtained by use of the Cole-Hopf transformation. This framework helps to demonstrate the closed-loop stability using some concepts from the powerful semigroup theory. The performance of the proposed controller is successfully tested, through simulation, by considering a nonlinear heat conduction problem concerning the control of the temperature of a steel plate modeled by a nonlinear heat equation with Dirichlet boundary conditions.
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International Journal of Robust and Nonlinear Control, Wiley, 2014, 24 (3), pp.389-405. 〈10.1002/rnc.2892〉
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https://hal.univ-lorraine.fr/hal-01276057
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Soumis le : jeudi 18 février 2016 - 16:39:54
Dernière modification le : jeudi 11 janvier 2018 - 06:25:27

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Ahmed Maidi, Jean-Pierre Corriou. Distributed control of nonlinear diffusion systems by input-output linearization. International Journal of Robust and Nonlinear Control, Wiley, 2014, 24 (3), pp.389-405. 〈10.1002/rnc.2892〉. 〈hal-01276057〉

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