Global Asymptotic Stability of Wavelet Network Adaptive Control of A Single-Loop Thermosyphon
Document Type
Article
Publication Date
8-24-2013
Publication Title
International Journal of Nonlinear Studies
ISSN
2153-4373
Abstract
The governing equations for a single-loop thermosyphon are derived as modified Lorenz equations. As the external heat increases, the flow patterns include heat conduction, steady convective flow, and chaotic time-dependent flow. The control objective is to stabilize the system at its equilibrium when the flow is in its chaotic regime. A measurable state variable is used for proportional single-state feedback to achieve the control objective. A wavelet network is adopted to construct a wavelet controller when there are uncertainties in the system, such as uncertainties with system parameters, disturbances and inaccuracy of modeling. Global asymptotic stability of the state trajectory is established for the direct adaptive wavelet-control of the loop thermosyphon system.
Recommended Citation
Wu, Yan.
2013.
"Global Asymptotic Stability of Wavelet Network Adaptive Control of A Single-Loop Thermosyphon."
International Journal of Nonlinear Studies, 20 (3): 321-329.
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/226