Glendinning, Paul and Kowalczyk, Piotr (2008) Dynamics of a hybrid thermostat model with discrete sampling time control. [MIMS Preprint]
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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 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory MSC 2010, the AMS's Mathematics Subject Classification > 39 Difference and functional equations MSC 2010, the AMS's Mathematics Subject Classification > 93 Systems theory; control |
| Depositing User: | Professor Paul Glendinning |
| Date Deposited: | 06 Feb 2009 |
| Last Modified: | 08 Nov 2017 18:18 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1179 |
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