P-I Boundary Control of Countercurrent Heat Exchanger
(2022) IFAC Proceedings — Vol. 55, n° 40, p. 49-54 (2022)
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- Authors
Dochain, Denis 
- Abstract
- Heat exchangers are generally described by two coupled partial differential equations (PDEs), and belong to the class of systems of conservation laws. In this paper we propose a result on the regulation of heat exchangers, in which we are choosing a proportional-integral (PI)-controller implemented on an output feedback from a boundary condition. First, a study on the existence and uniqueness of solutions of uncontrolled system is carried out, and we give a condition on the parameters of the system that ensures that the control-observation problem is well-posedness. Secondly we successively study the stability of the system controlled by a proportional and integral action, when the gains are adjusted following respectively a classic Lyapunov approach, and using a recent result that combines Lyapunov’s approach and operator perturbation theory.
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Citations
Kadima Kazaku, J., Dochain, D., Moïse Mukepe Kahilu, & Jimmy Kalenga Kaunde Kasongo. (2022). P-I Boundary Control of Countercurrent Heat Exchanger. IFAC Proceedings, 55(40), 49-54. https://hdl.handle.net/2078.5/102107 (Original work published 2022)