1 Faculty of New Technologies Engineering, Shahid Beheshti University, Tehran, Iran

2 Faculty of Engineering and New Technologies, Shahid Beheshti University, Tehran, Iran


Attitude control of spacecraft in order to nonlinear and high order dynamics is fundamental and challenging issue. With respect to these nonlinearities, linear control theories are not suitable choices and spacecraft may be unstable or lose performance. In this paper, State Dependent Riccati Equation (SDRE) method is utilized to 3-axis stabilization using four reaction wheels. State dependent Riccati equation method is systematic approach for optimal control of nonlinear systems which satisfies constraints of systems. In order to solve time consuming problem of this method in practical systems, Theta-D method is used. Results demonstrate the effectiveness of Theta-D in compare with Riccati method.


[1] Luiz, C., Souza, G.D. and Arena, M. R., “Using State-Dependent Riccati Equation and Kalman Filter Techniques to Design a Satellite Attitude Control Simulator,” AIAA Conference on Dynamics and Control of  Space System, 2012.
[2] Cimen, T., “State-Dependent Riccati Equation Control: A Survey,” Proceeding of the 17th World Congress, Korea, 2008.
[3] Xin, M. and Balakrishnan, S. N., “Nonlinear H-infinity Missile Longitudinal Autopilot Design with Theta-D Method,” IEEE Conference, Vol. 44, No. 1, 2008, pp. 408-413.
[4] Xin, M. and Lam, Q. M., “Preserving Spacecraft Attitude Control Accuracy Using Theta-D Controller Subject to Reaction Wheel Failures,” Proceeding of the AIAA InfoTech Conference, 2010.
[5] Xin, M. and Lam, Q. M., “Robustness Evaluation of Theta-D Technique for Spacecraft Attitude Control Subject to Reaction Wheel Failures,” Proceeding of the AIAA InfoTech Conference, 2010.
[6] Clotier, J. R. and Stansbery, D. T., “The Capability and Art of State-Dependent Riccati Equation-based Design,” American Control Conference, Alaska, USA, 2002.
[7] Luiz, C., Souza, G. and Arena M. R., “Design of Satellite Attitude Control Algorithm Based on the SDRE Method Using Gas Jets and Reaction Wheels,”  Journal of  Engineering, Vol. 29, No. 1, 2013, p. 8.
[8]Banks, H.T., Lewis B.M. and Tran H.T., “Nonlinear Feedback Controllers and Compensator: a State-Dependent Riccati Equation Approach,” Computational Optimization and Applications, Vol. 37, Issue 2, 2007, pp. 177-218.
[9] Xin M. and Balakrishna, S.N., “A New Method for Suboptimal Control of a Classes of Nonlinear Systems,” Optimal Control Applications and Methods, Vol. 26, No. 1, 2005, pp. 55-83.