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Encyclopedia of Systems and Control pp 1–8Cite as

Data Rate of Nonlinear Control Systems and Feedback Entropy

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Abstract

Topological feedback entropy is a measure for the smallest information rate in a digital communication channel between the coder and the controller of a control system, above which the control task of rendering a subset of the state space invariant can be solved. It is defined purely in terms of the open-loop system without making reference to a particular coding and control scheme and can also be regarded as a measure for the inherent rate at which the system generates “invariance information.”

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Author information

Authors and Affiliations

  1. Courant Institute of Mathematical Sciences, New York University, New York, USA

    Christoph Kawan Dr.

Authors
  1. Christoph Kawan Dr.
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Correspondence to Christoph Kawan Dr. .

Editor information

Editors and Affiliations

  1. Electrical and Computer Engineering, Boston University, Boston, Massachusetts, USA

    John Baillieul

  2. Automation and Control Solutions, Honeywell, Golden Valley, Minnesota, USA

    Tariq Samad

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© 2014 Springer-Verlag London

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Kawan, C. (2014). Data Rate of Nonlinear Control Systems and Feedback Entropy. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_150-1

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  • DOI: https://doi.org/10.1007/978-1-4471-5102-9_150-1

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  • Publisher Name: Springer, London

  • Online ISBN: 978-1-4471-5102-9

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