Spacecraft attitude dynamics and control in the presence of large magnetic residuals

Abstract This paper deals with the analysis and the control of the attitude dynamics of low earth orbit (LEO) satellites with large magnetic residual dipoles. The state dependent nature of the interaction of the spacecraft with the Earth's magnetic field is addressed and a model of the attitude dynamics augmented with the magnetic field is derived. The stability of the open-loop system is studied by linearization and tools from periodic systems theory. The effects of perturbations of the orbit parameters on the system stability are addressed. The analysis is the basis for the design of an attitude control strategy that allows to minimize the required control torque while satisfying an absolute pointing error constraint whenever direct compensation of magnetic disturbance torque is not achievable. Finally, the proposed approach is applied to the definition of a preliminary attitude control strategy for the AMS-02 mission and its performance is compared with the one attainable using a classical three-axis state feedback controller.

[1]  Peter H. Golde,et al.  C# Language Specification , 2003 .

[2]  Oliver Montenbruck,et al.  Satellite Orbits: Models, Methods and Applications , 2000 .

[3]  P. Hughes.  Spacecraft Attitude Dynamics , 1986 .

[4]  M. Pittelkau.  Optimal periodic control for spacecraft pointing and attitude determination , 1993 .

[5]  Marco Lovera.  Control-oriented modelling and simulation of spacecraft attitude and orbit dynamics , 2006 .

[6]  H. Hofer,et al.  The superconducting magnet system of the alpha magnetic spectrometer AMS-02 , 2004 .

[7]  Mark L. Psiaki,et al.  Design and testing of magnetic controllers for Satellite stabilization , 2005 .

[8]  Marco Lovera,et al.  Periodic attitude control techniques for small satellites with magnetic actuators , 2002, IEEE Trans. Control. Syst. Technol..

[9]  James R. Wertz,et al.  Spacecraft attitude determination and control , 1978 .

[10]  Hari B. Hablani,et al.  Comparative Stability Analysis and Performance of Magnetic Controllers for Bias Momentum Satellites , 1995 .

[11]  Christopher D. Hall,et al.  Spacecraft Dynamics and Control , 2002 .

[12]  Peter Fritzson,et al.  Modelica - a general object-oriented language for continuous and discrete-event system modeling and simulation , 2002, Proceedings 35th Annual Simulation Symposium. SS 2002.

[13]  Mark L. Psiaki,et al.  Magnetic Torquer Attitude Control via Asymptotic Periodic Linear Quadratic Regulation , 2000 .

[14]  F. Landis Markley,et al.  Optimal magnetic attitude control , 1999 .

[15]  Chang-Kyung Ryoo,et al.  Fault tolerant control for satellites with four reaction wheels , 2008 .

[16]  Marco Lovera,et al.  Magnetic spacecraft attitude control: a survey and some new results , 2005 .

[17]  Marco Lovera.  Optimal Magnetic Momentum Control for Inertially Pointing Spacecraft , 2001, Eur. J. Control.

[18]  Li-Qun Chen,et al.  Chaotic attitude motion of a magnetic rigid spacecraft and its control , 2002 .

[19]  M. Otter,et al.  Modelica - A Unified Object-Oriented Language for Physical Systems Modeling - Language Specification , 2000 .

[20]  Adam W. Bojanczyk,et al.  Periodic Schur decomposition: algorithms and applications , 1992, Optics & Photonics.

[21]  Marco Lovera,et al.  High-accuracy simulation of orbital dynamics: An object-oriented approach , 2008, Simul. Model. Pract. Theory.

[22]  Alessandro Astolfi,et al.  Spacecraft attitude control using magnetic actuators , 2004, Autom..

[23]  Wen-Hua Chen,et al.  Model predictive control of low earth orbiting spacecraft with magneto-torquers , 2006, 2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control.

[24]  András Varga,et al.  Gradient-Based Approach to Solve Optimal Periodic Output Feedback Control Problems , 1998, Autom..