TY - JOUR
T1 - Optimal equilibrium stabilization for a nonlinear infinite-dimensional plug-flow reactor model
AU - HASTIR, Anthony
AU - LAMOLINE, Francois
N1 - Funding Information:
This research was conducted with the financial support of F.R.S-FNRS, Belgium. Anthony Hastir is a FNRS Research Fellow under the grant FC 29535. Francois Lamoline was under the grant FC 08741. The authors would like to sincerely thank Prof. J.J. Winkin for helpful discussions and advice on this work. He helped at improving the quality of the manuscript. They also wish to thank Prof. D. Dochain for his valuable comments. The scientific responsibility rests with its authors.
Publisher Copyright:
© 2021 Elsevier Ltd
PY - 2021/8
Y1 - 2021/8
N2 - This paper studies the stabilization of optimal equilibrium profiles in nonisothermal plug-flow tubular reactors actuated by a heat exchanger that acts as a distributed control input. As a first result, we show that the heat exchanger temperature that achieves the minimal value of the steady-state reactant concentration at the outlet is the maximal allowed one. Then, a control strategy is proposed to reach these optimal equilibrium profiles. As main results, we prove that the control law stabilizes exponentially the nonlinear dynamics around the optimal equilibrium while it converges to the optimal heat exchanger temperature. In addition we show that the control law is optimal for some cost criterion of infinite-horizon integral type. Finally, the main results are illustrated with some numerical simulations.
AB - This paper studies the stabilization of optimal equilibrium profiles in nonisothermal plug-flow tubular reactors actuated by a heat exchanger that acts as a distributed control input. As a first result, we show that the heat exchanger temperature that achieves the minimal value of the steady-state reactant concentration at the outlet is the maximal allowed one. Then, a control strategy is proposed to reach these optimal equilibrium profiles. As main results, we prove that the control law stabilizes exponentially the nonlinear dynamics around the optimal equilibrium while it converges to the optimal heat exchanger temperature. In addition we show that the control law is optimal for some cost criterion of infinite-horizon integral type. Finally, the main results are illustrated with some numerical simulations.
KW - Equilibrium profiles
KW - Exponential stabilization
KW - Nonisothermal tubular reactor
KW - Nonlinear distributed parameter systems
KW - Optimal control problem
UR - http://www.scopus.com/inward/record.url?scp=85107115164&partnerID=8YFLogxK
U2 - 10.1016/j.automatica.2021.109722
DO - 10.1016/j.automatica.2021.109722
M3 - Article
SN - 0005-1098
VL - 130
JO - Automatica
JF - Automatica
M1 - 109722
ER -