Optimal Boundary State Feedback Control by Triangularization of the Counterflow Heat Exchanger Model
(2023) IEEE Conference on Decision and Control — Location: Singapore (13.December.2023)
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- Authors
Dochain, Denis 
- Abstract
- In this paper we are interested in the LQ-optimal boundary control of counterflow heat exchanger. The dynamics of this system is described (under some assumptions) by hyperbolic partial differential equations (PDEs) and contains singularities which do not guarantee in some cases the uniqueness of solution of the operator Riccati equation. To address this issue, we first propose a state transformation that involves solving a Riccati differential equation, and that allows to put the system in a lower triangular form. Next, for the reachability analysis, the model has been rewritten as an abstract boundary control system with bounded control and observation operators. Finally, the design of an optimal control law with integral action is considered. The results are illustrated by means of numerical simulations for the set point tracking, and show the interest of the control approach proposed in this paper.
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Citations
Jacques Kadima, & Dochain, D. (2023). Optimal Boundary State Feedback Control by Triangularization of the Counterflow Heat Exchanger Model. IEEEXplore. Published. IEEE Conference on Decision and Control, Singapore. https://doi.org/10.1109/CDC49753.2023.10383615