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.
Original language | English |
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Number of pages | 4 |
DOIs | |
Publication status | Published - 22 Jun 2009 |
Event | 2nd IFAC Conference on the Analysis and Control of Chaotic Systems (CHAOS 09) - London, England Duration: 22 Jun 2009 → 24 Jun 2009 |
Conference
Conference | 2nd IFAC Conference on the Analysis and Control of Chaotic Systems (CHAOS 09) |
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City | London, England |
Period | 22/06/09 → 24/06/09 |
Keywords
- feedback control
- chaos theory
- control systems
- orbits
- periodic orbits