Document Type : Research Article

Authors

1 Assistant Professor. Aerospace Research Institute, Ministry of Science, Research and Technology, Tehran, Iran.

2 Educator. Department of Engineering, Islamic Azad University, North Tehran Branch, Tehran, Iran.

Abstract

This paper presents a study concerning active vibration control of a smart, flexible spacecraft during attitude maneuver using thrusters/ a reaction wheel and piezoelectric patches. The large-angle maneuver and residual vibration of the spacecraft are controlled utilizing an extended Lyapunov-based design (ELD) and strain rate feedback (SRF) theory. The single-axis fully coupled rigid-flexible dynamic of the system is derived applying a Lagrangian approach and Assumed Mode Method (AMM). The system's overall stability, including energetic terms covering a hub, two flexible appendages, PZT sensor/actuator, RW dynamics, and torsional spring, has been proved, and the control law has been derived accordingly. A pulse-width pulse-frequency (PWPF) modulation is used to alleviate the excitations of high-frequency flexible modes. However, due to the fast maneuver, there are still residual vibrations in the system. Hence, the SRF algorithm using PZT is applied to prepare further vibration suppression. The performance of the proposed extended controller is compared to the conventional Lyapunov and pole placement control algorithms. The numerical results for simultaneously large angle attitude and vibration control of a flexible spacecraft through a comparative study verify the merits of the proposed approach. 

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Main Subjects

[1] Chen, X., Ren, Y., Cai, Y., Li, N., and Jia, H., “Integrated Control of Attitude Maneuver and Vibration Suppression of Flexible Spacecraft Based on Magnetically Suspended Control Moment Gyros”, Proc. of the Inst. of Mech. Eng., Part C: J. of Mech. Eng. Sci., p. 0954406220942801, 2020.
[2] Golestani, M., Esmailzadeh, S.M., and Mobayen, S., “Fixed-time Control for High-precision Attitude Stabilization of Flexible Spacecraft”, European Journal of Control, Vol. 57, pp. 222-231, 2020.
[3] Sendi, C. “Attitude Stabilization during Retargeting Maneuver of Flexible Spacecraft Subject to Time Delay and Actuators Saturation”, 2020 IEEE Aerospace Conference, Big Sky, MT, USA, 2020.
[4] Liu, Y., Fu, Y., He, W., and Hui, Q., “Modeling and Observer-based Vibration Control of a Flexible Spacecraft with External Disturbances”, IEEE Transactions on Industrial Electronics, Vol. 66, No. 11, pp. 8648-8658, 2018.
[5] Sun, H., Hou, L., Zong, G., and Guo, L., “Composite Anti-disturbance Attitude and Vibration Control for Flexible Spacecraft”, IET Control Theory & Applications, Vol. 11, pp. 2383-2390, 2017.
[6] Liu, L., Cao, D., and Wei, J., “Rigid-flexible Coupling Dynamic Modeling and Vibration Control for Flexible Spacecraft Based on Its Global Analytical Modes”, Science China Technological Sciences, Vol. 62, pp. 608-618, 2019.
[7] Zhu, W., Zong, Q., and Tian, B., “Adaptive Tracking and Command Shaped Vibration Control of Flexible Spacecraft”, IET Control Theory & Applications, Vol. 13, pp. 1121-1128, 2019.
[8] Chang, J.-L.  and Wu, T.-C., “Dynamic Compensator-based Output Feedback Controller Design for Uncertain Systems with Adjustable Robustness”, Journal of Control Science and Engineering, Vol. 2018, pp. 1-9, 2018.
[9] Chen, H., Song, S., and Li, X., “Robust Spacecraft Attitude Tracking Control with Integral Terminal Sliding Mode Surface Considering Input Saturation”, Transactions of the Institute of Measurement and Control, Vol. 41, pp. 405-416, 2019.
[10] Yuan, C.-Q., Li, J.-F., Wang, T.-S., and Baoyin, H.-X., “Robust Attitude Control for Rapid Multi-Target Tracking in Spacecraft Formation Flying”, Applied Mathematics and Mech., Vol. 29, pp. 185-198, 2008.
[11] De Queiroz, M.S., Dawson, D.M., Nagarkatti, S.P., and Zhang, F., Lyapunov-based Control of Mechanical Systems, Springer Science & Business Media, New York, USA, 2012.
[12] Ge, S.S., Lee, T.H., and Zhu, G., “Genetic Algorithm Tuning of Lyapunov-based Controllers: An Application to a Single-link Flexible Robot System”, IEEE Transactions on Industrial Electronics, Vol. 43, pp. 567-574, 1996.
[13] Lyapunov, A.M., “The General Problem of the Stability of Motion”, International Journal of Control, Vol. 55, pp. 531-534, 1992.
[14] Zhong, C., Chen, Z., and Guo, Y., “Attitude Control for Flexible Spacecraft with Disturbance Rejection”, IEEE Trans. on Aer. and Elec. Sys., Vol. 53, pp. 101-110, 2017.
[15] Abdessameud, A. and Tayebi, A., “Attitude Synchronization of a Spacecraft Formation Without Velocity Measurement”, 47th IEEE Conf.e on Decision and Control, Cancun, Mexico, 2008.
[16] Mehrabian, A.R., Tafazoli, S., and Khorasani, K., “Coordinated Attitude Control of Spacecraft Formation Without Angular Velocity Feedback: a Decentralized Approach”, AIAA Guidance, Navigation, and Control Conf., Portland, Oregon, USA, 2009.
[17] Hu, Q., Shi, P., and Gao, H., “Adaptive Variable Structure and Commanding Shaped Vibration Control of Flexible Spacecraft”, Journal of Guidance, Control, and Dynamics, Vol. 30, pp. 804-815, 2007.
[18] Ye, D. and Sun, Z., “Variable Structure Tracking Control for Flexible Spacecraft”, Aircraft Engineering and Aerospace Technology: An International Journal, Vol. 88, pp. 508-514, 2016.
[19] Mazinan, A., Pasand, M., and Soltani, B., “Full Quaternion Based Finite-time Cascade Attitude Control Approach Via Pulse Modulation Synthesis for a Spacecraft”, ISA tran., Vol. 58, pp. 567-585, 2015.
[20] Song, G. and Agrawal, B.N., “Vibration Suppression of Flexible Spacecraft During Attitude Control”, Acta Astronautica, Vol. 49, pp. 73-83, 2001.
[21] Chakrabarti, D., and Selvaganesan, N., “PD and PDβ Based Sliding Mode Control Algorithms with Modified Reaching Law for Satellite Attitude Maneuver”, Advances in Space Research, Vol. 65, pp. 1279-1295, 2020.
[22] Ran, D., Chen, X., de Ruiter, A., and Xiao, B., “Adaptive Extended-state Observer-based Fault Tolerant Attitude Control for Spacecraft with Reaction Wheels”, Acta Astr., Vol. 145, pp. 501-514, 2018.
[23] Wang, J., Wu, J., Liu, W., and Ji, H., “Coupling Attitude Control for Flexible Spacecraft with Rotating Structure”, in  4th International Conference on Robotics and Automation Sciences (ICRAS),  Wuhan, China, 2020.
[24] Newman, S.M., Active Damping Control of a Flexible Space Structure Using Piezoelectric Sensors and Actuators, Naval Postgraduate School, Monterey, CA, USA, 1992.
[25] Weldegiorgis, R., Krishna, P., and Gangadharan, K., “Vibration Control of Smart Cantilever Beam Using Strain Rate Feedback”, Procedia Materials Science, Vol. 5, pp. 113-122, 2014.
[26] Hall, J.F., “Problems Encountered from the Use (or Misuse) of Rayleigh Damping”, Earthquake eng. & struc. dyn., Vol. 35, pp. 525-545, 2006.