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      Better stability with measurement errors

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      Author(s)
      Argun, A.
      Volpe, G.
      Date
      2016-06
      Source Title
      Journal of Statistical Physics
      Print ISSN
      0022-4715
      Publisher
      Springer New York LLC
      Volume
      163
      Issue
      6
      Pages
      1477 - 1485
      Language
      English
      Type
      Article
      Item Usage Stats
      189
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      Abstract
      Often it is desirable to stabilize a system around an optimal state. This can be effectively accomplished using feedback control, where the system deviation from the desired state is measured in order to determine the magnitude of the restoring force to be applied. Contrary to conventional wisdom, i.e. that a more precise measurement is expected to improve the system stability, here we demonstrate that a certain degree of measurement error can improve the system stability. We exemplify the implications of this finding with numerical examples drawn from various fields, such as the operation of a temperature controller, the confinement of a microscopic particle, the localization of a target by a microswimmer, and the control of a population.
      Keywords
      Measurement
      Noisy systems
      Stability
      Stochastic differential equations
      Permalink
      http://hdl.handle.net/11693/36907
      Published Version (Please cite this version)
      https://doi.org/10.1007/s10955-016-1518-8
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      • Department of Physics 2550
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