Biggs, J.D. and McInnes, C.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.
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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.
|Item type:||Conference or Workshop Item (Paper)|
|Keywords:||feedback control, chaos theory, control systems, orbits, periodic orbits, Mechanical engineering and machinery, Motor vehicles. Aeronautics. Astronautics, Aerospace Engineering, Control and Systems Engineering, Control and Optimization|
|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:||28 Mar 2017 12:48|