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: DateEvent22 June 2009PublishedSubjects: Technology > Mechanical engineering and machinery
Technology > Motor vehicles. Aeronautics. AstronauticsDepartment: 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