Geodesic
Control of Traveling Solutions in a Loop-Reactor
Y. Smagina1 ; M. Sheintuch1
1 Department of Chemical Engineering, Technion, Haifa, 32000, Israe
Mathematical modelling of natural phenomena, Tome 6 (2011) no. 1, pp. 209-225.

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We consider the stabilization of a rotating temperature pulse traveling in a continuous asymptotic model of many connected chemical reactors organized in a loop with continuously switching the feed point synchronously with the motion of the pulse solution. We use the switch velocity as control parameter and design it to follow the pulse: the switch velocity is updated at every step on-line using the discrepancy between the temperature at the front of the pulse and a set point. The resulting feedback controller, which can be regarded as a dynamic sampled-data controller, is designed using root-locus technique. Convergence conditions of the control law are obtained in terms of the zero structure (finite zeros, infinite zeros) of the related lumped model.
DOI : 10.1051/mmnp/20116111

Y. Smagina 1 ; M. Sheintuch 1

1 Department of Chemical Engineering, Technion, Haifa, 32000, Israe 
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Y. Smagina; M. Sheintuch. Control of Traveling Solutions in a Loop-Reactor. Mathematical modelling of natural phenomena, Tome 6 (2011) no. 1, pp. 209-225. doi : 10.1051/mmnp/20116111. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20116111/

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