Magnetic attitude control of bias momentum spacecraft by bounded linear feedback

Abstract This paper addresses the three-axis magnetic attitude control of small spacecraft with momentum bias configuration by bounded linear feedback. Necessary and sufficient conditions are derived to guarantee that the linearized dynamics and kinematics are stable in the Lyapunov sense. Explicit solutions to some Lyapunov equations associated with the considered open-loop system are obtained. Based on the explicit solutions to the Lyapunov equation, both explicit saturated linear state feedback controller and function observer based output feedback controller are designed. Globally asymptotic stability of the closed-loop systems is proved by constructing explicit Lyapunov functions. Simulations show the effectiveness of the proposed approach.

[1]  Mahmut Reyhanoglu,et al.  Three-axis magnetic attitude control algorithms for small satellites in the presence of noise , 2011, 2012 12th International Conference on Control, Automation and Systems.

[2]  Rafal Wisniewski.  Linear Time-Varying Approach to Satellite Attitude Control Using Only Electromagnetic Actuation , 2000 .

[3]  Guang-Ren Duan,et al.  L ∞ and L 2 semi-global stabilisation of continuous-time periodic linear systems with bounded controls , 2013, Int. J. Control.

[4]  Peng Shi,et al.  Attitude Stabilization of Spacecrafts Under Actuator Saturation and Partial Loss of Control Effectiveness , 2013, IEEE Transactions on Control Systems Technology.

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

[6]  Bin Zhou,et al.  Global stabilization of periodic linear systems by bounded controls with applications to spacecraft magnetic attitude control , 2015, Autom..

[7]  Franco Bernelli-Zazzera,et al.  Spacecraft magnetic attitude control using approximating sequence Riccati equations , 2015, IEEE Transactions on Aerospace and Electronic Systems.

[8]  Hai Huang,et al.  Magnetic attitude control for Earth-pointing satellites in the presence of gravity gradient , 2017 .

[9]  Luca Zaccarian,et al.  Reaction Wheels Desaturation Using Magnetorquers and Static Input Allocation , 2015, IEEE Transactions on Control Systems Technology.

[10]  Christopher J. Damaren,et al.  Magnetic Attitude Control of a Flexible Satellite , 2013 .

[11]  Anton H. J. de Ruiter,et al.  Magnetic Control of Dual-Spin and Bias-Momentum Spacecraft , 2012 .

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

[13]  James Lam,et al.  Global Stabilization of Linearized Spacecraft Rendezvous System by Saturated Linear Feedback , 2017, IEEE Transactions on Control Systems Technology.

[14]  Wen-Hua Chen,et al.  Attitude control of magnetically actuated satellites with an uneven inertia distribution , 2013 .

[15]  Michael I. Friswell,et al.  Fixed-Time Attitude Control for Rigid Spacecraft With Actuator Saturation and Faults , 2016, IEEE Transactions on Control Systems Technology.

[16]  Marcel J. Sidi,et al.  Spacecraft Dynamics and Control: A Practical Engineering Approach , 1997 .

[17]  Christopher J. Damaren,et al.  Optimal Hybrid Magnetic Attitude Control: Disturbance Accommodation and Impulse Timing , 2017, IEEE Transactions on Control Systems Technology.

[19]  Feng Gao,et al.  Further results on active magnetic bearing control with input saturation , 2006, IEEE Transactions on Control Systems Technology.

[20]  Christopher J. Damaren,et al.  Linear Time-Varying Passivity-Based Attitude Control Employing Magnetic and Mechanical Actuation , 2010 .

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

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

[23]  Byung-Hoon Lee,et al.  Momentum wheel start-up method for HAUSAT-2 ultra-small satellite , 2006 .

[24]  M. Yu. Ovchinnikov,et al.  Three-axis active magnetic attitude control asymptotical study , 2015 .

[25]  Bo Li,et al.  Extended State Observer based robust attitude control of spacecraft with input saturation , 2016 .

[26]  John S. White,et al.  Satellite Attitude Control Utilizing the Earth's Magnetic Field , 1961 .

[27]  Andrea Maria Zanchettin,et al.  Robust Magnetic Attitude Control of Satellites , 2013, IEEE/ASME Transactions on Mechatronics.

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

[29]  A. Craig Stickler,et al.  Elementary Magnetic Attitude Control System , 1976 .

[30]  Guang-Ren Duan,et al.  Robust gain scheduled control of spacecraft rendezvous system subject to input saturation , 2015 .