Open Problems on Information and Feedback Controlled Systems
arXiv:1205.4434 · doi:10.3390/e14040834
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.
LaTeX, 10 pages, 2 figures. Improved version to appear in Entropy
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- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Fluctuation Theorem with Information Exchange: Role of Correlations in Stochastic Thermodynamics
- Information Thermodynamics on Causal Networks
- Role of Mutual Information in Entropy Production under Information Exchanges
- Nonequilibrium fluctuation theorem for systems under discrete and continuous feedback control
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