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Feedback in control systems plays a critical role in shaping various operational parameters, extending beyond simple error reduction to influence stability, bandwidth, gain, impedance, and sensitivity. Understanding these effects requires examining a basic feedback system characterized by defined input, output, error, and feedback signals.
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General achievable bound of extractable work under feedback control.

Yuto Ashida1, Ken Funo1, Yûto Murashita1

  • 1Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 11, 2014
PubMed
Summary
This summary is machine-generated.

This study provides a stricter upper bound for extractable work in feedback control systems, considering information loss during measurements. It offers guidelines for optimizing feedback protocols for enhanced work extraction.

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Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Information Theory

Background:

  • Feedback control systems are crucial in various scientific and engineering fields.
  • Understanding the limits of extractable work under realistic conditions, including measurement errors, is essential.
  • Existing bounds on extractable work may not fully account for information loss in feedback processes.

Purpose of the Study:

  • To establish a general achievable upper bound for extractable work in systems with feedback control.
  • To generalize nonequilibrium equalities for error-free measurements in the context of feedback.
  • To provide principles for designing optimal feedback protocols that maximize work extraction.

Main Methods:

  • Generalization of nonequilibrium equalities to incorporate error-free measurements.
  • Development of a theoretical framework to quantify extractable work under feedback control.
  • Analysis of the contribution of unavailable information to the work bound.

Main Results:

  • A novel, more stringent upper bound for extractable work under feedback control is derived.
  • The bound explicitly includes a term related to information loss and the singular part of the reference probability measure.
  • The results establish a general achievable bound for any given feedback protocol.

Conclusions:

  • The derived upper bound offers a more accurate and stringent limit on extractable work in feedback systems.
  • The study provides practical guidance for designing efficient feedback protocols.
  • The findings have implications for optimizing energy extraction in various thermodynamic and information-theoretic processes.