Active Shape Adjustment of Large Cable-Mesh Reflectors Using Novel Fast Model Predictive Control
Publication: Journal of Aerospace Engineering
Volume 31, Issue 4
Abstract
Active shape adjustment of a cable-mesh reflector is a significant procedure to compensate the effects of a complicated space environment in orbit. In this paper, the active shape adjustment of a large cable-mesh reflector with actuators is addressed, and the dynamic input voltage profiles of actuators are estimated using a novel fast model predictive control method. The electromechanical coupling dynamic model of the cable-mesh reflector with piezoceramic (PZT) actuators is first established by using piezoelectric constitutive equations and Hamilton’s principle. For a certain shape distortion, the dynamic control voltage profiles are then obtained via the novel fast model predictive control method in which the structural dynamics model is reformulated as a novel explicit repression form to avoid the computations of matrix exponential. Additionally, some fast computation strategies based on the Newmark- method are used to increase computational efficiency. Finally, a 30-meter diameter cable-mesh reflector is chosen as a numerical example, and the simulation results demonstrate that the proposed control algorithm provides a valid and efficient solution for the shape control of large cable-mesh reflectors.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This work is supported by the National Natural Science Foundation of China (11372056, 11472069, and 11502040). Additionally, we would like to thank Dr. Chen for his support in this work.
References
Allik, H., and Hughes, T. J. (1970). “Finite element method for piezoelectric vibration.” Int. J. Numer. Methods Eng., 2(2), 151–157.
Belvin, W. K., Herstrom, C. L., and Edighoffer, H. H. (1989). “Quasistatic shape adjustment of a 15-meter-diameter space antenna.” J. Spacecraft Rockets, 26(3), 129–136.
Camacho, E. F., and Alba, C. B. (2013). Model predictive control, Springer, London.
Chen, Y. Z., Zhang, S., Peng, H. J., Chen, B. S., and Zhang, H. W. (2015). “A novel fast model predictive control for large-scale structures.” J. Vib. Control, 23(13), 2190–2205.
Dubay, R., Hassan, M., Li, C., and Charest, M. (2014). “Finite element based model predictive control for active vibration suppression of a one-link flexible manipulator.” ISA Trans., 53(5), 1609–1619.
Haftka, R. T., and Adelman, H. M. (1985). “An analytical investigation of shape control of large space structures by applied temperatures.” AIAA J., 23(3), 450–457.
Kalaycioglu, S., and Silva, D. (2000). “Minimization of vibration of spacecraft appendages during shape control using smart structures.” J. Guid. Control Dyn., 23(3), 558–561.
Liu, J. Y. (2014). “Space-based large spinning sensor pointing and control design and its application to NASA’s SMAP spacecraft.” AIAA Guidance, Navigation, and Control Conf., American Institute of Aeronautics and Astronautics, Reston, VA.
Liu, W. (2013). “Research on nonlinear dynamic modeling and surface error characteristics of spaceborne large cable-network antenna structures.” Ph.D. thesis, National Univ. of Defense Technology, Changsha, China (in Chinese).
MATLAB version 8.4.0.150421 [Computer software]. MathWorks, Natick, MA.
Mitsugi, J., Yasaka, T., and Miura, K. (1990). “Shape control of the tension truss antenna.” AIAA J., 28(2), 316–322.
Nagashio, T., Kida, T., Hamada, Y., and Ohtani, T. (2014). “Robust two-degrees-of-freedom attitude controller design and flight test result for engineering test satellite-VIII spacecraft.” IEEE Trans. Control Syst. Technol., 22(1), 157–168.
Natori, M., Takano, T., Noda, T., Tashima, T., and Tabata, M. (1998). “Ground adjustment procedure of a deployable high accuracy mesh antenna for space VLBI mission.” 39th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conf. and Exhibit, American Institute of Aeronautics and Astronautics, Reston, VA.
Peng, H. J., Gao, Q., Wu, Z. G., and Zhong, W. X. (2014). “Fast model predictive control method for large-scale structural dynamic systems: Computational aspects.” Shock Vib., 2014, 1.
Qin, Q. (2012). Advanced mechanics of piezoelectricity, Springer, London.
Semler, D., Tulintseff, A., Sorrell, R., and Marshburn, J. (2010). “Design, integration, and deployment of the terrestar 18-meter reflector.” Proc., 28th AIAA Int. Communications Satellite Systems Conf., American Institute of Aeronautics and Astronautics, Reston, VA.
Schek, H. J. (1974). “The force density method for form finding and computation of general networks.” Comput. Methods Appl. Mech. Eng., 3(1), 115–134.
Tabata, M., and Natori, M. C. (1996). “Active shape control of a deployable space antenna reflector.” J. Intell. Mater. Syst. Struct., 7(2), 235–240.
Tabata, M., Yamamoto, K., Inoue, T., Noda, T., and Miura, K. (1992). “Shape adjustment of a flexible space antenna reflector.” J. Intell. Mater. Syst. Struct., 3(4), 646–658.
Tanaka, H. (2011). “Surface error estimation and correction of a space antenna based on antenna gain analyses.” Acta Astronaut., 68(7), 1062–1069.
Thomas, J. R. H. (2000). The finite element method: Linear static and dynamic finite element analysis, Dover Publications, Mineola, NY.
Wang, Z. W., Li, T. J., and Cao, Y. Y. (2013). “Active shape adjustment of cable net structures with PZT actuators.” Aerosp. Sci. Technol., 26(1), 160–168.
Wang, Z. W., Li, T. J., and Deng, H. Q. (2012). “Form-finding analysis and active shape adjustment of cable net reflectors with PZT actuators.” J. Aerosp. Eng., 575–586.
Wang, X. C. (2003). Finite element method, Tsinghua University Press, Beijing (in Chinese).
Xie, Y. M., Shi, H., Alleyne, A., and Yang, B. E. (2016). “Feedback shape control for deployable mesh reflectors using gain scheduling method.” Acta Astronaut., 121, 241–255.
Zhang, S. X., Du, J. L., Duan, B. Y., Yang, G. G., and Ma, Y. J. (2015). “Integrated structural: Electromagnetic shape control of cable mesh reflector antennas.” AIAA J., 53(5), 1395–1399.
Information & Authors
Information
Published In
Copyright
©2018 American Society of Civil Engineers.
History
Received: Jul 15, 2017
Accepted: Dec 8, 2017
Published online: Apr 24, 2018
Published in print: Jul 1, 2018
Discussion open until: Sep 24, 2018
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.