IFF Optimal Control for Missile Formation Reconfiguration in Cooperative Engagement
Publication: Journal of Aerospace Engineering
Volume 28, Issue 3
Abstract
In this paper, an integral feedback and feed-forward (IFF) optimal controller with hard terminal constraints for missile formation reconfiguration is designed. The controller has quadric optimal performance for expected terminal errors, output, and control quantity. From the viewpoint of the kinematics relationship of a formation in the relative coordinate frame, the authors establish a precisely linearized relative motion model by transforming the control variables. This relative motion model can intuitively manifest the relationship of the relative motion in three directions in the relative coordinate frame. In order to solve the designed IFF optimal controller, detailed deductions for deriving the related Lagrange parameters are presented. A precise integration algorithm was adopted instead of using a traditional backward integration algorithm to calculate more precise solutions for the relevant parameters in the IFF optimal controller. A collision avoidance system with four spherical domains was proposed, and a modifying principle to avoid collision during formation reconfiguration was presented. Simulation results demonstrate that the presented IFF optimal controller is capable of implementing missile formation reconfiguration rapidly, stably, and accurately. It can additionally restrain invariant or slowly varying perturbations induced by the velocity of a leader missile. Furthermore, the collision avoidance system developed in this paper can enable missiles to avoid collision during formation reconfiguration.
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Acknowledgments
This work is supported by China Postdoctoral Science Foundation (Grant No. 2012M510972), Korean Industry Academic Cooperation Foundation, the Fundamental Research Funds for the Central Universities (Grant No. HIT.NSRIF.2015037), and the open National Defense Key Disciplines Laboratory of Exploration of Deep Space Landing and Return Control Technology, Harbin Institute of Technology (Grant No. HIT.KLOF.2013.079).
The authors would like to express heartfelt appreciation to Tan, Shujun;Wu, Zhigang; Zhong,Wanxie, and their research teams, for their unselfish sharing the precise integration software package PIMCSD, which supports the simulations in the paper.
References
Boskovic, J. D., Li, S.-M., and Mehra, R. K. (2001). “Semi-globally stable formation flight control design in three dimensions.” Proc., 40th IEEE Conf. on Decision and Control, Orlando, FL, 1059–1064.
Boskovic, J. D., and Mehra, R. K. (2003). “An adaptive reconfigurable formation flight control design.” Proc., American Control Conf., Denver, 284–289.
Chen, X., Serrani, A., and Özbay, H. (2003). “Control of leader-follower formations of terrestrial UAVs.” Proc., 42nd IEEE Conf. on Decision and Control, Maui, HI, 498–503.
Cui, N., Wei, C., Guo, J., and Zhao, B. (2009). “Research on Missile formation control system.” IEEE Int. Conf. on Mechatronics and Automation, Changchun, China, 4197–4202.
Cui, N., Wei, C., Guo, J., and Zhao, B. (2010b). “Study on missiles formation reconfiguration optimized trajectory generation and control.” Proc., 25th Int. Symp. on Ballistics, Beijing, China, Vol. 1, 249–251.
Cui, N., Wei, C., Guo, J., and Zhao, B. (2010a). “Study on missile formation reconfiguration optimized trajectory generation and control.” J. Appl. Mech., 77(5), 144–153.
Dargan, J. L., Pachter, M., and D’Azzo, J. J. (1994). “Automatic formation flight control.” J. Guidance Control Dynam., 17(6), 1380–1383.
Desai, J. P., Kurnar, V., and Ostrowski, J. P. (1999). “Control of changes in formation for a team of mobile robots.” Proc., IEEE Int. Conf. on Robotics and Automation, Detroit, 1556–1561.
Hu, Z., Lin, T., Zhang, S., and Cai, H. (2007). “Study on the concept of missiles formation cooperative engagement system.” Winged Missile J., 10, 13–18.
Leonard, N. E., and Fiorelli, E. (2001). “Virtual leaders, artificial potentials and coordinated control of groups.” Proc., IEEE Conf. on Decision and Control, Orlando, FL, 2968–2973.
Li, S.-M., Boskovic, J. D., and Mehra, R. K. (2001). “Globally stable automatic formation flight control in two dimensions.” AIAA Guidance, Navigation and Control Conf., American Institute of Aeronautics and Astronautics, Inc., Montreal, 4046–4053.
McCamish, S., Pachter, M., and D’Azzo, J. J. (1996). “Optimal formation flight control.” AIAA Guidance, Navigation and Control Conf., San Diego, 3868–3880.
Mu, X., Du, Y., Liu, X., and Wu, S. (2009). “Behavior-based formation control of multi-missiles.” Control and Decision Conf., 2009. CCDC ’09. Chinese, IEEE, 5019–5023.
Saffarian, M., and Fahimi, F. (2007). “A control framework for configurable formation flight of autonomous helicopters.” 45th AIAA Aerospace Sciences Meeting and Exhibit, Reno, 157–168.
Wei, C., Shen, Y., Ma, X., Guo, J., and Cui, N. (2012). “Optimal formation keeping control in missile cooperative engagement.” Aircr. Eng. Aerosp. Technol., 84(6), 376–389.
Xie, X. (1986). Optimal control theory and application, Tsinghua University Press, Beijing.
Zhao, W., and Go, T. H. (2010). “3D formulation of formation flight based on model predictive control with collision avoidance scheme.” 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, American Institute of Aeronautics and Astronautics, Inc., Orlando, FL, 493–509.
Zhao, W., Go, T. H., and Low, E. (2009). “Formation flight control using model predictive approach.” 47th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, American Institute of Aeronautics and Astronautics, Inc., Orlando, FL, 59–66.
Zhong, W. X. (2001). “The precise integration of LQ control problems.” Acta Autom. Sin., 27(2), 166–167.
Zhong, W., Ouyang, H., and Deng, Z. (1993). “A review on the theory of optimal control and computational mechanics.” Adv. Mech., 23(1), 1–3.
Zhong, W., and Zhong, X. (1992). “On differential of the inter misxed energy submatrices of LQ control and its applycation.” Acta Autom. Sin., 18(3), 325–332.
Zhong, W. X., and Zhu, J. P. (1996). “Precise time integration for the matrix riccati equation.” J. Numer. Meth. Comput. Appl., 1, 26–27.
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Published In
Journal of Aerospace Engineering
Volume 28 • Issue 3 • May 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Jun 9, 2012
Accepted: Jun 4, 2013
Published online: Jun 6, 2013
Discussion open until: Dec 21, 2014
Published in print: May 1, 2015
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