Math. Model. Nat. Phenom.
Volume 6, Number 1, 2011Instability and patterns. Issue dedicated to the memory of A. Golovin
|Page(s)||209 - 225|
|Published online||09 June 2010|
Control of Traveling Solutions in a Loop-Reactor
Department of Chemical Engineering, Technion, Haifa, 32000, Israe
1 Corresponding author. E-mail: firstname.lastname@example.org
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.
Mathematics Subject Classification: 35C07 / 34H05
Key words: moving pulses / network of chemical reactors / loop-reactor / distributed systems / control / root-locus method / system zeros
© EDP Sciences, 2010
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