Observer-based controller design with disturbance feedforward framework for formation control of satellites
- Author(s): Prathyush P. Menon 1 ; Christopher Edwards 2 ; Nuno M. Gomes Paulino 3
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View affiliations
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Affiliations:
1:
Centre for Systems, Dynamics and Control, University of Exeter, EX4 4QF, UK;
2: CEMPS, University of Exeter, EX4 4QF, UK;
3: GMV, Isaac Newton, 11 P.T.M Tres Cantos, 28760 Madrid, Spain
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Affiliations:
1:
Centre for Systems, Dynamics and Control, University of Exeter, EX4 4QF, UK;
- Source:
Volume 9, Issue 8,
15 May 2015,
p.
1285 – 1293
DOI: 10.1049/iet-cta.2014.0773 , Print ISSN 1751-8644, Online ISSN 1751-8652
In this study, a bespoke sliding mode non-linear observer and a linear controller framework is proposed for achieving robust formation control of a cluster of satellites in the case of a circular reference orbit. Exploiting the structure of the satellite dynamics, a non-linear observer is proposed based on super-twist sliding mode ideas. The observer estimates the states and any unknown bounded disturbances in ‘finite time’. The stability properties of the observers are demonstrated using Lyapunov techniques. A distributed controller, based on the estimated states and the relative position output information, depending on the underlying communication topology, is proposed. A polytopic representation of the collective dynamics which depends on the eigenvalues of the Laplacian matrix associated with the communication topology is used to synthesise the gains of the proposed control laws. A simulation example is used to demonstrate the efficacy of the proposed approach.
Inspec keywords: observers; distributed control; matrix algebra; linear systems; feedforward; Lyapunov methods; artificial satellites; eigenvalues and eigenfunctions; topology; control system synthesis; robust control; variable structure systems; nonlinear control systems
Other keywords: circular reference orbit; super-twist sliding mode; collective dynamics; linear controller framework; eigenvalues; polytopic representation; control law gain synthesis; distributed controller; relative position output information; observer-based controller design; state estimation; finite time; robust satellite formation control; disturbance feedforward framework; Laplacian matrix; stability properties; satellite dynamics structure; satellite cluster; bespoke sliding mode nonlinear observer; Lyapunov techniques; communication topology; unknown bounded disturbances
Subjects: Algebra; Simulation, modelling and identification; Combinatorial mathematics; Linear control systems; Stability in control theory; Control system analysis and synthesis methods; Nonlinear control systems; Multivariable control systems; Aerospace control
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