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|
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|
|Subjects:||MSC 2000 > 37 Dynamical systems and ergodic theory|
MSC 2000 > 39 Difference and functional equations
MSC 2000 > 93 Systems theory; control
|Deposited By:||Professor Paul Glendinning|
|Deposited On:||06 February 2009|