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 equilib- rium 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 pa- rameters, 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.
| Original language | English |
|---|---|
| Pages (from-to) | 321-329 |
| Number of pages | 9 |
| Journal | Nonlinear Studies |
| Volume | 20 |
| Issue number | 3 |
| State | Published - 2013 |
Keywords
- Adaptive control
- Lorenz system
- Lyapunov stability
- Thermosyphon
- Wavelet network