Robust three-axis attitude stabilization for inertial pointing spacecraft using magnetorquers

Abstract In this work feedback control laws are designed for achieving three-axis attitude stabilization of inertial pointing spacecraft using only magnetic torquers. The designs are based on an almost periodic model of geomagnetic field along the spacecraft׳s orbit. Both attitude plus attitude rate feedback and attitude only feedback are proposed. Both feedback laws achieve local exponential stability robustly with respect to large uncertainties in the spacecraft׳s inertia matrix. The latter properties are proved using general averaging and Lyapunov stability. Simulations are included to validate the effectiveness of the proposed control algorithms.

[1]  Dennis S. Bernstein,et al.  Forward-integration Riccati-based feedback control of magnetically actuated spacecraft , 2012 .

[2]  Marco Lovera,et al.  Bifurcation analysis of the attitude dynamics for a magnetically controlled spacecraft , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[3]  M. M. Prats,et al.  Full Magnetic Satellite Attitude Control Using ASRE Method , 2012 .

[4]  Mahmut Reyhanoglu,et al.  Attitude stabilization of a nadir-pointing small satellite using only magnetic actuators , 2009, ICONS.

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

[6]  Karthik Mysore Srinivasa SPACECRAFT ATTITUDE CONTROL USING MAGNETIC ACTUATORS , 2015 .

[7]  E. Tyrtyshnikov A brief introduction to numerical analysis , 1997 .

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

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

[10]  Rafael Wisniewski,et al.  Fully magnetic attitude control for spacecraft subject to gravity gradient , 1999, Autom..

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

[12]  Alessandro Astolfi,et al.  Global Magnetic Attitude Control of Inertially Pointing Spacecraft , 2005 .

[13]  Alberto Isidori,et al.  Nonlinear Control Systems II , 1999 .

[14]  P. Y. Willems,et al.  SPACECRAFT DYNAMICS AND CONTROL , 1981 .

[15]  Bong Wie,et al.  Space Vehicle Dynamics and Control , 1998 .

[16]  Marco Lovera,et al.  Optimal Discrete-Time Design of Three-Axis Magnetic Attitude Control Laws , 2010, IEEE Transactions on Control Systems Technology.

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

[18]  P. Olver Nonlinear Systems , 2013 .

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

[20]  Daniel E. Koditschek,et al.  Comparative experiments with a new adaptive controller for robot arms , 1991, IEEE Trans. Robotics Autom..