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Robust successive generalised dynamic inversion control of satellite launch vehicles

Published online by Cambridge University Press:  17 January 2025

A.H. Bajodah Open the ORCID record for A.H. Bajodah [Opens in a new window]  and
U. Ansari Open the ORCID record for U. Ansari [Opens in a new window]
A.H. Bajodah*
Affiliation:
Aerospace Engineering Department, King Abdulaziz University, Jeddah, Saudi Arabia
U. Ansari
Affiliation:
Aerospace Engineering Department, King Abdulaziz University, Jeddah, Saudi Arabia
*
Corresponding author: A.H. Bajodah; Email: [email protected]
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Abstract

In this paper, we designa robust Successive Generalised Dynamic Inversion (SGDI) flight control system for high-performance trajectory tracking of target sun-synchronous orbit Satellite Launch Vehicles (SLVs). The robust SGDI control system is designed to track an optimal reference trajectory such that the desired orbital terminal conditions of the ascent flight phase are achieved. The proposed SGDI is composed of two loops. The attitude control loop employs Dynamically Scaled Generalised Inversion (DSGI) of Servo Constraint Dynamics (SVD) in the deviations of Euler attitude angles from their desired optimal trajectories. The inner-dynamics control loop employs DSGI of an SVD in the SLV angular velocity components. Robustification control elements are augmented within the two loops of the baseline SGDI control system to overcome control performance degradation due to dynamic scaling of the Moore-Penrose generalised inverse, modeling and parametric uncertainties, and exogenous disturbances. The robust SGDI control system works to enforce global convergence of the SLV attitude trajectories to the reference trajectories. The high-performance attributes of the robust SGDI control system are verified via comparisons with a classical sliding mode control system, and by performing numerous runs of Monte Carlo simulations under various types of uncertainties and external wind disturbances.

Keywords

Generalized Dynamic Inversion ControlRobust ControlSatellite Launch VehicleTrajectory OptimizationLyapunov Stability
Type
Research Article
Information
The Aeronautical Journal , First View , pp. 1 - 33
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Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of Royal Aeronautical Society

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References

Reichert, R.T. Dynamic scheduling of modern robust control autopilot designs for missiles, IEEE Control Syst. Mag., 1992, 12, (5), pp 35–42.Google Scholar
Buschek, H. Robust autopilot design for future missile systems, In AIAA Guidance, Navigation, and Control Conference and Exhibit, New Orleans, Louisiana, USA, 1997.CrossRefGoogle Scholar
Zhu, J.J., Banker, B.D. and Hall, C.E. X-33 ascent flight controller design by trajectory linearization: a singular perturbational approach, In AIAA Guidance, Navigation, and Control Conference and Exhibit, Dever, USA, 2000.CrossRefGoogle Scholar
Clement, B., Duc, G. and Mauffrey, S. Aerospace launch vehicle control: a gain scheduling approach, Control Eng. Pract., 2005, 13, pp 333–347.CrossRefGoogle Scholar
Steinicke, A. and Michalka, G. Improving transient performance of dynamic inversion missile autopilot by use of backstepping, In AIAA Guidance, Navigation, and Control Conference and Exhibit, California, USA, pp 46–58, 2002.CrossRefGoogle Scholar
Wang, Z., Liu, L., Wang, Y. and Wang, Z. Dynamic integral sliding mode for launch vehicle attitude control system, In 24th Chinese Control and Decision Conference, Taiyuan, China, pp 1713–1718, 2012.CrossRefGoogle Scholar
Das, R.K., Sen, S. and Dasgupta, S. Fault tolerant controller for attitude control of satellite launch vehicle via LMI approach, In Proceedings of the First IEEE India Annual Conference, Kharagpur, India, pp 304–309, 2004.CrossRefGoogle Scholar
Das, R.K., Sen, S. and Dasgupta, S. Robust and fault tolerant controller for attitude control of a satellite launch vehicle, IET Control Theory Appl., 2007, 1, (1), pp 304–312.CrossRefGoogle Scholar
Ansari, U. and Bajodah, A.H. Adaptive fuzzy sliding mode control: Application to satellite launch vehicle’s attitude control. Mechatron. Syst. Cont., 2018, 46, (1), pp 15–25.Google Scholar
Johnson, E.N., Calise, A.J. and Corban, J.E. Adaptive fuzzy sliding mode control: Application to satellite launch vehicle’s attitude control, IEEE Aerosp. Conf. Proc., 2001, 6, pp 2669–2682.Google Scholar
Ansari, U. Flight Vehicle Guidance and Control. School of Automation Science and Electrical Engineering, Beihang University, Beijing, China, 2007.Google Scholar
Ansari, U. and Alam, S. Hybrid Genetic Algorithm fuzzy rule based guidance and control for launch vehicle, In 11th International Conference on Intelligent Systems Design and Applications, Cordoba, Spain, pp 178–185, 2011.CrossRefGoogle Scholar
Ansari, U. and Alam, S. Trajectory optimization and adaptive fuzzy based Launch Vehicle attitude control, In 20th Mediterranean Conference on Control & Automation, Barcelona, Spain, pp 457–462, 2012.CrossRefGoogle Scholar
Pedro, J.O., Panday, A. and Dala, L. A nonlinear dynamic inversion-based neurocontroller for unmanned combat aerial vehicles during aerial refuelling, Int. J. Appl. Math. Comput. Sci., 2013, 23, (1), pp 75–90.CrossRefGoogle Scholar
McFarland, M. and Hoque, S. Robustness of a nonlinear missile autopilot designed using dynamic inversion, In AIAA Guidance, Navigation, and Control Conference and Exhibit, Dever, USA, p 3970, 2000.CrossRefGoogle Scholar
Valasek, J., Ito, D. and Ward, D. Robust dynamic inversion controller design and analysis for the X-38, In AIAA Guidance, Navigation, and Control Conference and Exhibit, Montreal,Canada, p 4380, 2001.CrossRefGoogle Scholar
Doman, D.B. and Ngo, A.D. Dynamic inversion-based adaptive/reconfigurable control of the X-33 on ascent, J. Guid. Control Dyn., 2002, 25, (12), pp 275–284.CrossRefGoogle Scholar
Bajodah, A.H., Hodges, D.H. and Chen, Y.H. Inverse dynamics of servo-constraints based on the generalized inverse, Nonlinear Dynam., 2005, 39, (1), pp 179–196.CrossRefGoogle Scholar
Bajodah, A.H. Singularly perturbed feedback linearization with linear attitude deviation dynamics realization, Nonlinear Dyn., 2008, 53, (4), pp 321–343.CrossRefGoogle Scholar
Bajodah, A.H. Generalised dynamic inversion spacecraft control design methodologies, IET Control Theory Appl., 2009, 3, (2), pp 239–251.CrossRefGoogle Scholar
Bajodah, A.H. Asymptotic perturbed feedback linearisation of underactuated Euler’s dynamics, Int. J. Control, 2009, 82, (10), pp 1856–1869.CrossRefGoogle Scholar
Bajodah, A.H. Asymptotic generalised dynamic inversion attitude control, IET Control Theory Appl., 2010, 4, (5), pp 827–840.CrossRefGoogle Scholar
Hameduddin, I. and Bajodah, A.H. Nonlinear generalized dynamic inversion for aircraft manoeuvring control, Int. J. Control, 2012, 85, (4), pp 437–450.CrossRefGoogle Scholar
Moore, E.H. On the reciprocal of the general algebraic matrix. (Abstract) Bull. Amer. Math. Soc., 1920, 26, pp 394–395.Google Scholar
Penrose, R. A generalized inverse for matrices, Math. Proc. Camb. Phil. Soc., 1955, 51, (4), pp 406–413.CrossRefGoogle Scholar
Udwadia, F.E. and Kalaba, R.E. Analytical Dynamics: A New Approach. Cambridge University Press, 2007.Google Scholar
Greville, T.N.E. The pseudoinverse of a rectangular or singular matrix and its applications to the solutions of systems of linear equations, SIAM Rev., 1959, 1, (1), pp 38–43.CrossRefGoogle Scholar
Ben-Israel, A. and Greville, T.N. Generalized Inverses: Theory and Applications, vol. 15, Springer Science & Business Media, 2003.Google Scholar
Ansari, U. and Bajodah, A.H. Robust launch vehicle generalized dynamic inversion attitude control, Aircr. Eng. Aerosp. Technol., 2017, 89, (6), pp 902–910.CrossRefGoogle Scholar
Ansari, U. and Bajodah, A.H. Launch vehicle ascent flight attitude control using direct adaptive generalized dynamic inversion, Proc. Inst. Mech. Eng. G: J. Aerosp. Eng., 2019, 233, (11), pp 4141–4153.CrossRefGoogle Scholar
Ansari, U. and Bajodah, A.H. Robust generalized dynamic inversion based control of autonomous underwater vehicles, Proc. Inst. Mech. Eng. M: J. Eng. Maritime Environ., 2018, 232, (4), pp 434–447.Google Scholar
Ansari, U., Bajodah, A.H. and Hamayun, M.T. Quadrotor control via robust generalized dynamic inversion and adaptive non-singular terminal sliding mode, Asian J. Control, 2019, 21, (3), pp 1237–1249.CrossRefGoogle Scholar
Ansari, U., Bajodah, A.H. and Kada, B. Development and experimental investigation of a Quadrotor’s robust generalized dynamic inversion control system, Nonlinear Dyn., 2019, 96, (2), pp 1541–1557.CrossRefGoogle Scholar
Bajodah, A.H. Asymptotic robot manipulator generalized inverse dynamics, Nonlinear Dyn. Syst. Theory, 2013, 13, (1), pp 25–46.Google Scholar
Xiao, Y. Rocket Ballistics and Dynamics. Beijing University of Aeronautics and Astronautics, 2007.Google Scholar
Ansari, U. and Bajodah, A.H. Quadrotor control using generalized dynamic inversion and terminal sliding mode, In 5th International Conference on Control, Engineering & Information Technology, Tlemcen, Algeria, pp 1–6, 2015.CrossRefGoogle Scholar