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Open Problems on Information and Feedback Controlled Systems
Departamento de Física Atómica, Molecular y Nuclear, Universidad Complutense de Madrid, Avenida Complutense s/n, 28040 Madrid, Spain
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Received: 16 January 2012; in revised form: 28 March 2012 / Accepted: 12 April 2012 / Published: 19 April 2012
Abstract: Feedback or closed-loop control allows dynamical systems to increase their performance up to a limit imposed by the second law of thermodynamics. It is expected that within this limit, the system performance increases as the controller uses more information about the system. However, despite the relevant progresses made recently, a general and complete formal development to justify this statement using information theory is still lacking. We present here the state-of-the-art and the main open problems that include aspects of the redundancy of correlated operations of feedback control and the continuous operation of feedback control. Complete answers to these questions are required to firmly establish the thermodynamics of feedback controlled systems. Other relevant open questions concern the implications of the theoretical results for the limitations in the performance of feedback controlled flashing ratchets, and for the operation and performance of nanotechnology devices and biological systems.
Keywords: closed-loop control; information; thermodynamics
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MDPI and ACS Style
Cao, F.J.; Feito, M. Open Problems on Information and Feedback Controlled Systems. Entropy 2012, 14, 834-847.
Cao FJ, Feito M. Open Problems on Information and Feedback Controlled Systems. Entropy. 2012; 14(4):834-847.
Cao, Francisco J.; Feito, Manuel. 2012. "Open Problems on Information and Feedback Controlled Systems." Entropy 14, no. 4: 834-847.