Çoklu Füze Sistemleri için Güdüm Algoritması Tasarımı

Abstract

Bu çalışmada, çoklu otonom sistemler için güdüm algoritma tasarımları sunulmuştur. Otonom sistem olarak jenerik bir füze ele alınmıştır. İlk olarak, eş zamanlı varış kontrolü için menzilin zamana bağlı genel bir polinom olarak şekillendirildiği bir güdüm tasarımı sunulmuştur. Sonrasında bir lider ve takipçilerden oluşan bir sistem için füze güdümü kullanılarak bir takip algoritması tasarımı önerilmiştir. Bunun için varış açısının kontrolünü sağlayan bir yöntem, lidere göre sabit olarak konumlandırılan bir sanal lideri kuyruk takibi modunda izlemek için kullanılmıştır. Her iki ortak saldırı yaklaşımında, otonom sisteme yeni üyeler, görev tanımları merkezi kontrol birimi ya da lider tarafından tanımlanarak dahil olabilirler. Önerilen yaklaşımlar füzeler için örneklenmiş olup, insansız hava araçlarında ve robotik alanında da kullanılabilir.

Keywords

• Çoklu otonom sistemler
• Füze güdümü
• Ortak saldırı
• Varış zamanı
• Varış açısı
• Kuyruk takibi

Guidance Algorithm Design for Multi-Missile Systems

Abstract

In this paper, guidance algorithms design for multi-autonomous systems is described. A generic missile is considered as an autonomous system. First, a guidance law, where the range is shaped as a function of time, is presented for salvo attack. Second, a tracking algorithm, which makes use of missile guidance algorithms, is proposed for a system consisting of a leader and followers. For this purpose, an impact angle control algorithm is used for tail chase tracking of the leader, where a virtual leader is attached to a fixed position of the leader. In each of these two approaches, new members can join the system, where the mission is defined from a central control unit or from a leader. The suggested approached is exemplified for missiles; however, they could be used in unmanned air vehicles and in robotics.

Keywords

• Multi-autonomous systems
• Missile guidance
• Salvo attack
• Impact time
• Impact angle
• Tail tracking

References

1. [1] Zhou, J., Yang, J., 2016. Distributed Guidance Law Design for Cooperative Simultaneous Attacks with Multiple Missiles. Journal of Guidance, Control, and Dynamics, Cilt. 39, No. 10, s. 2439–2447. DOI: 10.2514/1.G001609
2. [2] Belanger, J., Desbiens, A., Gagnon, E. ,2007. UAV Guidance with Control of Arrival Time. American Control Conference, New York, USA, s. 4488-4493, . DOI: 10.1109/ACC.2007.4282775
3. [3] Zarchan, P., Tactical and Strategic Missile Guidance, 6th ed., AIAA, Reston, VA, 2012.
4. [4] Jeon, I.-S., Lee, J.-I., Tahk, M.-J., 2016. Impact Time Control Guidance with Generalized Proportional Navigation Based on Nonlinear Formulation. Journal of Guidance, Control, and Dynamics, Cilt. 39, No. 8, s. 1887–1892. DOI: 10.2514/1.G001681
5. [5] Tekin R,. Erer K.S., Holzapfel F., 2016. Control of Impact Time with Increased Robustness via Feedback Linearization. Journal of Guidance, Control, and Dynamics, Cilt. 39, No. 7, s. 1682–1689. DOI: 10.2514/1.G001719
6. [6] Kim M., Jung, B., Han B., Lee S., Kim Y., 2015, Lyapunov-Based Impact Time Control Guidance Laws Against Stationary Targets. IEEE Transactions on Aerospace and Electronic Systems, Cilt. 51, No. 2, s. 1111–1122. DOI: 10.1109/TAES.2014.130717
7. [7] Saleem A, Ratnoo A., 2016. Lyapunov-Based Guidance Law for Impact Time Control and Simultaneous Arrival. Journal of Guidance, Control, and Dynamics, Cilt. 39, No. 1, s. 164–173. DOI: 10.2514/1.G001349
8. [8] Cho D, Kim HJ, Tahk MJ., 2016. Nonsingular Sliding Mode Guidance for Impact Time Control. Journal of Guidance, Control, and Dynamics, Cilt. 39, No. 1, s. 61–68. DOI: 10.2514/1.G001167

9. [9] Kumar, S.R., Ghose, D. , 2015. Impact Time Guidance for Large Heading Errors Using Sliding Mode Control. IEEE Transactions on Aerospace and Electronic Systems, Cilt. 51, No. 4, s. 3123 – 3138. DOI: 10.1109/TAES.2015.140137
10. [10] Tekin, R, Erer, K.S, Holzapfel, F. , 2017. Polynomial Shaping of the Look Angle for Impact Time Control. Journal of Guidance, Control, and Dynamics, Cilt. 40, No. 10, s. 266-273. DOI: 10.2514/1.G002751
11. [11] Kim, H., Lee, J., Kim, H.J., Kwon, H., Park, J., 2019. Look-Angle-Shaping Guidance Law for Impact Angle and Time Control with Field-of-View Constraint. IEEE Transactions on Aerospace and Electronic Systems, Cilt. 56, No. 2, s. 1602-1612. DOI: 10.1109/TAES.2019.2924175
12. [12] Erer KS. 2015. Biased Proportional Navigation Guidance for Impact Angle Control with Extension to Three-Dimensional Engagements, Doktora Tezi, Orta Doğu Teknik Üniversitesi, Ankaraa.
13. [13] Kim, B.S., Lee, J.G., Han, H.S., 1988. Biased PNG Law for Impact with Angular Constraint. IEEE Transactions on Aerospace and Electronic Systems, Cilt. 34, No. 1, s. 277–288. DOI: 10.1109/7.640285
14. [14] Tekin R, Erer KS., 2015. Switched-Gain Guidance for Impact Angle Control Under Physical Constraints. Journal of Guidance, Control, and Dynamics, Cilt. 38, No. 2, s. 205–216. DOI: 10.2514/1.G000766
15. [15] Ryoo, C.-K., Cho, H., Tahk, M.-J., 2005. Optimal Guidance Laws with Terminal Impact Angle Constraint. Journal of Guidance, Control, and Dynamics, Cilt. 28, No. 4, s. 724–732. DOI: 10.2514/1.8392
16. [16] Ohlmeyer, E.J., Phillips, C.A., 2006. Generalized Vector Explicit Guidance. Journal of Guidance, Control, and Dynamics, Cilt. 29, No. 2, s. 261–268. DOI: 10.2514/1.14956
17. [17] Yao, Z., Yongzhi, S., Xiangdong, L., 2014. Sliding Mode Control Based Guidance Law with Impact Angle. Chinese Journal of Aeronautics, Cilt. 27, No. 1, s. 145–152. DOI: 10.1016/j.cja.2013.12.011
18. [18] Zhao, Y., Sheng, Y.Z., Liu, X.D., 2014. Sliding Mode Control Based Guidance Law with Impact Angle Constraint. Chinese Journal of Aeronautics, Cilt. 27, No. 1, s. 145–152. DOI: 10.1016/j.cja.2013.12.011
19. [19] Kang, S., Tekin, R., Zhang, L., 2020, A Novel Approach for Impact Angle Control Under Look-Angle Constraint”. Chinese Journal of Aeronautics, submitted, 2020.
20. [20] Lee, C.H., Kim, T.H., Tahk M.J., Whang, I-H., 2013. Polynomial Guidance Laws Considering Terminal Impact Angle and Acceleration Constraints. IEEE Transactions on Aerospace and Electronic Systems, Cilt. 49, No. 1, 74–92. DOI: 10.1109/TAES.2013.6404092
21. [21] Tekin R. 2018. A New Design Framework for Impact Time Control, Doktora Tezi, Münih Teknik Üniversitesi, Münih, Almanya.
22. [22]Zadka, B., Tripathy, T., Tsalik, R., Shima, T., 2020. A Max-Consensus Cyclic Pursuit Based Guidance Law for Simultaneous Target Interception, European Control Conference, accepted, St. Petersburg, Rusya.
23. [23]Tekin, R., Erer, K.S., Özgören, M.K., 2016. Biased Proportional Navigation with Exponentially Decaying Error for Impact Angle Control and Path Following, Proceedings of the 24th Mediterranean Control and Automation Conference, Atina, Yunanistan, 21-24 Haziran. DOI: 10.1109/MED.2016.7535911
24. [24] Medagoda, E, Gibbens, P., 2010. Synthetic-Waypoint Guidance Algorithm for Following a DesiredFlight Trajectory. AIAA Journal of Guidance, Control, and Dynamics, Cilt. 33, No. 2, 601–606. DOI: 10.2514/1.46204
25. [25] Lennox D., 2004. Cruise Missile Technologies and Performance Analysis. Jane's Strategic Weapon Systems, 40, Jane's Defense Data.