Coupling Effect on the Synchronization of Laterally Coupled Multi-loop Systems
Faculty Mentor
YAN WU
Location
Russell Union Ballroom
Type of Research
On-going
Session Format
Poster Presentation
College
Jack Averitt College of Graduate Studies
Department
APPLIED MATHEMATICS
Abstract
In this project, we study the controllability of a double loop thermosyphon system where the momentum and thermal exchanges occur between adjacent loops. The objective of control is to synchronize the flows under a chaotic regime with large Rayleigh numbers. The three synchronization mechanisms include thermal coupling, momentum coupling, and decentralized single-state feedback. In each case, we first derive the stability bounds on three key parameters using Lyapunov stability theory and Schur’s complement method, from which we reveal the interplay among those three parameters. We then compare the performance of the three designs via numerical simulations. There exist optimal bounds on the control parameters through the construction of weighted Lyapunov functions. We point out that thermal coupling has a major impact on synchronization, yet it does not contribute to the stabilization (or destabilization) of the coupled system at its equilibrium.
Program Description
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Start Date
4-23-2026 10:00 AM
End Date
4-23-2026 12:00 PM
Recommended Citation
Adeyeye, Abidemi, "Coupling Effect on the Synchronization of Laterally Coupled Multi-loop Systems" (2026). GS4 Student Scholars Symposium. 52.
https://digitalcommons.georgiasouthern.edu/research_symposium/2026/2026/52
Coupling Effect on the Synchronization of Laterally Coupled Multi-loop Systems
Russell Union Ballroom
In this project, we study the controllability of a double loop thermosyphon system where the momentum and thermal exchanges occur between adjacent loops. The objective of control is to synchronize the flows under a chaotic regime with large Rayleigh numbers. The three synchronization mechanisms include thermal coupling, momentum coupling, and decentralized single-state feedback. In each case, we first derive the stability bounds on three key parameters using Lyapunov stability theory and Schur’s complement method, from which we reveal the interplay among those three parameters. We then compare the performance of the three designs via numerical simulations. There exist optimal bounds on the control parameters through the construction of weighted Lyapunov functions. We point out that thermal coupling has a major impact on synchronization, yet it does not contribute to the stabilization (or destabilization) of the coupled system at its equilibrium.
