2008.102: Dynamics of a hybrid thermostat model with discrete sampling time control
2008.102: Paul Glendinning and Piotr Kowalczyk (2008) Dynamics of a hybrid thermostat model with discrete sampling time control.
Full text available as:
 | PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 803 Kb |
Abstract
The dynamics of a simple thermostat model is described. In the model the control system samples the temperature at regular but discrete time intervals rather than by continuous monitoring. The model exhibits quasi-periodic oscillations and banding, where the response falls into two or more bands of phase space representing either better or poorer control. A return circle map is derived which explains the observed dynamics. Some extensions of these results to the case where the flow is nonlinear are also given.
| Item Type: | MIMS Preprint |
|---|---|
| Uncontrolled Keywords: | CICADA |
| Subjects: | MSC 2000 > 37 Dynamical systems and ergodic theory MSC 2000 > 39 Difference and functional equations MSC 2000 > 93 Systems theory; control |
| MIMS number: | 2008.102 |
| Deposited By: | Professor Paul Glendinning |
| Deposited On: | 06 February 2009 |
Download Statistics: last 4 weeks
Repository Staff Only: edit this item