Magnetic torque attitude control of a satellite using the state-dependent Riccati equation technique

Mohammad Abdelrahman, Insu Chang, Sang Young Park

Research output: Contribution to journalArticle

33 Citations (Scopus)

Abstract

A non-linear attitude control method for a satellite with magnetic torque rods using the state-dependent Riccati equation (SDRE) technique has been developed. The magnetic torque caused by the interaction with the Earths magnetic field and the magnetic moment of torque rods plays a role of the control torque. The detailed equations of motion for this system are presented using angular velocity and quaternions. The SDRE controller is developed for the non-linear systems which can be formed in pseudo-linear representations using the state-dependent coefficient (SDC) method without linearization procedure. The aim of this control system is to achieve a stable attitude within 5°, and minimize the control effort. The stability regions for the SDRE controlled satellite system are estimated through the investigation of the stability conditions developed for pseudo-linear systems and the application of Lyapunovs theorem. For comparisons, the Linear Quadratic Regulator (LQR) method using the solution of the algebraic Riccati equation (ARE) is also applied to this non-linear system. The performance of the SDRE non-linear control system demonstrates more robustness and stability than the LQR control system when subjected to a wide range of initial conditions.

Original languageEnglish
Pages (from-to)758-771
Number of pages14
JournalInternational Journal of Non-Linear Mechanics
Volume46
Issue number5
DOIs
Publication statusPublished - 2011 Jun 1

Fingerprint

Attitude Control
Riccati equations
Torque control
Attitude control
Riccati Equation
Torque
Satellites
Dependent
Regulator
Nonlinear systems
Nonlinear Systems
Control System
Control systems
Nonlinear control systems
Linear Representation
Nonlinear Control Systems
Algebraic Riccati Equation
Stability Region
Magnetic Moment
Angular velocity

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Cite this

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abstract = "A non-linear attitude control method for a satellite with magnetic torque rods using the state-dependent Riccati equation (SDRE) technique has been developed. The magnetic torque caused by the interaction with the Earths magnetic field and the magnetic moment of torque rods plays a role of the control torque. The detailed equations of motion for this system are presented using angular velocity and quaternions. The SDRE controller is developed for the non-linear systems which can be formed in pseudo-linear representations using the state-dependent coefficient (SDC) method without linearization procedure. The aim of this control system is to achieve a stable attitude within 5°, and minimize the control effort. The stability regions for the SDRE controlled satellite system are estimated through the investigation of the stability conditions developed for pseudo-linear systems and the application of Lyapunovs theorem. For comparisons, the Linear Quadratic Regulator (LQR) method using the solution of the algebraic Riccati equation (ARE) is also applied to this non-linear system. The performance of the SDRE non-linear control system demonstrates more robustness and stability than the LQR control system when subjected to a wide range of initial conditions.",
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Magnetic torque attitude control of a satellite using the state-dependent Riccati equation technique. / Abdelrahman, Mohammad; Chang, Insu; Park, Sang Young.

In: International Journal of Non-Linear Mechanics, Vol. 46, No. 5, 01.06.2011, p. 758-771.

Research output: Contribution to journalArticle

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