An optimal gains matrix for time-delay feedback control

Biggs, James and McInnes, Colin R. (2009) An optimal gains matrix for time-delay feedback control. In: 2nd IFAC Conference on the Analysis and Control of Chaotic Systems (CHAOS 09), 2009-06-22 - 2009-06-24. (https://doi.org/10.3182/20090622-3-UK-3004.00063)

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Abstract

In this paper we propose an optimal time-delayed feedback control (TDFC) for tracking unstable periodic orbits (UPOs). It is shown that TDFC will drive a trajectory onto a periodic orbit while minimising an integral of a cost function of the error in periodicity and the control e®ort. This optimal TDFC relies on the linearisation about the delayed trajectory not the UPO itself and therefore can be implemented without a priori knowledge of a reference orbit. This optimal TDFC is applied to the problem of tracking an unstable periodic orbit in the nonlinear equations describing the circular restricted three-body problem. The results of this investigation demonstrate that TDFC could e±ciently drive a spacecraft onto a periodic orbit in the vicinity of a (UPO) halo orbit.

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  Item type:	Conference or Workshop Item(Paper)
  ID code:	7755
  Dates:	Date Event 22 June 2009 Published
  Subjects:	Technology > Mechanical engineering and machinery Technology > Motor vehicles. Aeronautics. Astronautics
  Department:	Faculty of Engineering > Mechanical and Aerospace Engineering
  Depositing user:	Strathprints Administrator
  Date deposited:	23 Mar 2009 12:43
  Last modified:	05 Dec 2024 01:27
  URI:	https://strathprints.strath.ac.uk/id/eprint/7755