Analysis of stability and Hopf bifurcation of delayed feedback spin stabilization of a rigid spacecraft

DOI10.1007/s11071-013-1006-5zbMath1279.70008OpenAlexW2083200730MaRDI QIDQ394529

Eric A. Butcher, Morad Nazari

Publication date: 27 January 2014

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-013-1006-5

zbMATH Keywords

time delaystability analysisbifurcationnormal formspacecraftmultiple scalesdelayed feedback controlspin stabilization

Mathematics Subject Classification ID

Feedback control (93B52) Bifurcations and instability for nonlinear problems in mechanics (70K50) Free motion of a rigid body (70E15) Stability problems in rigid body dynamics (70E50)

Related Items (5)

Robust adaptive terminal sliding mode control on \(\mathrm{SE(3)}\) for autonomous spacecraft rendezvous and docking ⋮ Stochastic delayed kinetics of foraging colony system under non-Gaussian noise ⋮ Bifurcation phenomena and control analysis in class-B laser system with delayed feedback ⋮ Stabilization of the rotating disk-beam system with a delay term in boundary feedback ⋮ Stability and Hopf bifurcation analysis for an energy resource system

Uses Software

• AUTO
• DDE-BIFTOOL
• AUTO-07P

Cites Work

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• Semi-discretization for time-delay systems. Stability and engineering applications.
• Order reduction of retarded nonlinear systems - the method of multiple scales versus center-manifold reduction
• Bifurcation theory. An introduction with applications of PDEs
• Normal forms for high co-dimension bifurcations of nonlinear time-periodic systems with nonsemisimple eigenvalues
• Multiple scales without center manifold reductions for delay differential equations near Hopf bifurcations
• The dynamical rigid body with memory
• Magnetic Attitude Control System for Dual-Spin Satellites
• Normal forms and Hopf bifurcation for partial differential equations with delays
• Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
• HOPF BIFURCATION OF TIME-DELAY LIENARD EQUATIONS

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