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Linear-quadratic-Gaussian heat engines

Sandberg, Henrik and Delvenne, Jean-Charles and Doyle, John C. (2007) Linear-quadratic-Gaussian heat engines. In: 46th IEEE Conference on Decision and Control. IEEE , Piscataway, NJ, pp. 3102-3107. ISBN 978-1-4244-1497-0.

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In this paper, we study the problem of extracting work from heat flows. In thermodynamics, a device doing this is called a heat engine. A fundamental problem is to derive hard limits on the efficiency of heat engines. Here we construct a linear-quadratic-Gaussian optimal controller that estimates the states of a heated lossless system. The measurements cool the system, and the surplus energy can be extracted as work by the controller. Hence, the controller acts like a Maxwell's demon. We compute the efficiency of the controller over finite and infinite time intervals, and since the controller is optimal, this yields hard limits. Over infinite time horizons, the controller has the same efficiency as a Carnot heat engine, and thereby it respects the second law of thermodynamics. As illustration we use an electric circuit where an ideal current source extracts energy from resistors with Johnson-Nyquist noise.

Item Type:Book Section
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Doyle, John C.0000-0002-1828-2486
Additional Information:© 2007 IEEE. Supported by grants from the Hans Werthén foundation and the Swedish Research Council.
Funding AgencyGrant Number
Hans Werthén FoundationUNSPECIFIED
Swedish Research CouncilUNSPECIFIED
Record Number:CaltechAUTHORS:20190304-104205307
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Official Citation:H. Sandberg, J. Delvenne and J. C. Doyle, "Linear-quadratic-Gaussian heat engines," 2007 46th IEEE Conference on Decision and Control, New Orleans, LA, 2007, pp. 3102-3107. doi: 10.1109/CDC.2007.4434789
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:93432
Deposited By: Tony Diaz
Deposited On:04 Mar 2019 19:02
Last Modified:16 Nov 2021 16:57

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