State Feedback Control of a Single-Loop Thermosyphon System Via a Quotient Controller

The objective of this work is to design a quotient controller to stabilize a chaotic flow in a single loop thermosyphon system with a high heat index. The thermosyphon loop is heated from below and cooled from above, which causes time-dependent chaotic flow when the external heat index is above a threshold value. Our goal was to stabilize the fluid into a convective uni-directional flow well into the chaotic regime. We also investigated adding a tracking integrator to the thermosyphon system to allow tracking to a specific temperature.

Name thesis:degree_name

Master of Science in Mathematics (M.S.)

Level thesis:degree_level

Thesis (open access)

Discipline thesis:degree_discipline

Department of Mathematical Sciences

Year dc:date.available

2007

Author dc:creator

• Tanner, Jonathan S.

Contributors dc:contributor

• Xiezhang Li
• Viktor Maymeskul
• Xiao-jun Wang

• ETD
• Chaotic flow
• Control systems
• Convective flow
• Fourier series
• Galerkin method
• Local stability
• Lorenz equations
• Quotient controller
• Runge-Kutta method
• Single-loop thermosyphon
• State feedback control
• Feedback control systems

Repository record dc:identifier

https://digitalcommons.georgiasouthern.edu/etd/645

OAI identifier oai:identifier

oai:digitalcommons.georgiasouthern.edu:etd-1645