Infinite-dimensional output-feedback bounded bilinear control of a parallel-flow heat exchanger
Infinite-dimensional output-feedback bounded bilinear control of a parallel-flow heat exchanger
In this paper, we consider the problem of output bounded controller design for a parallel-flow heat exchanger described by 2×2 coupled linear hyperbolic partial differential equations (PDEs) of balance laws. We aim to drive the internal fluid outlet temperature to track a reference trajectory by manipulating the external fluid velocity. Due to physical limitations, this manipulated variable has to be bounded to avoid a laminar regime. Consequently, the control problem becomes bounded and bilinear. Based on the set-invariance concept and the Lyapunov's stability theory, first, we design a bounded state feedback controller. Then, since only boundary measurements are available, we synthesize an output feedback controller, and demonstrate the exponential stability of the closed-loop system. Finally, simulation results are provided to illustrate the performance of the proposed control technique.
6412-6417
Mechhoud, S.
d1eecaa6-8c67-44cf-b4c0-7e187709dff1
Belkhatir, Z.
de90d742-a58f-4425-837c-20ff960fb9b6
19 January 2024
Mechhoud, S.
d1eecaa6-8c67-44cf-b4c0-7e187709dff1
Belkhatir, Z.
de90d742-a58f-4425-837c-20ff960fb9b6
Mechhoud, S. and Belkhatir, Z.
(2024)
Infinite-dimensional output-feedback bounded bilinear control of a parallel-flow heat exchanger.
In 2023 62nd IEEE Conference on Decision and Control (CDC).
IEEE.
.
(doi:10.1109/CDC49753.2023.10383308).
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Abstract
In this paper, we consider the problem of output bounded controller design for a parallel-flow heat exchanger described by 2×2 coupled linear hyperbolic partial differential equations (PDEs) of balance laws. We aim to drive the internal fluid outlet temperature to track a reference trajectory by manipulating the external fluid velocity. Due to physical limitations, this manipulated variable has to be bounded to avoid a laminar regime. Consequently, the control problem becomes bounded and bilinear. Based on the set-invariance concept and the Lyapunov's stability theory, first, we design a bounded state feedback controller. Then, since only boundary measurements are available, we synthesize an output feedback controller, and demonstrate the exponential stability of the closed-loop system. Finally, simulation results are provided to illustrate the performance of the proposed control technique.
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Published date: 19 January 2024
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Local EPrints ID: 493132
URI: http://eprints.soton.ac.uk/id/eprint/493132
PURE UUID: 3708e96c-9d9d-4bac-a4e6-d803ff4d44d6
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Date deposited: 23 Aug 2024 16:49
Last modified: 23 Aug 2024 16:51
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Author:
S. Mechhoud
Author:
Z. Belkhatir
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