Abstract
This chapter develops a new optimal gravity-turn-assisted intercept angle guidance law for an exo-atmospheric interceptor. The analytical guidance command is derived as a solution of a finite-time optimal regulation problem by using the Lagrange multiplier approach. The convergence of the instantaneous ZEM and intercept angle error is theoretically analyzed based on the instantaneous linear time-invariant system concept. We also reveal that existing optimal impact angle constrained guidance laws are the special cases of the proposed formulation. Numerical simulations with some comparisons clearly demonstrate the effectiveness of the proposed guidance law.
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References
He S, Song T, Lin D (2017) Impact angle constrained integrated guidance and control for maneuvering target interception. J Guidance Control Dyn 40(10):2653–2661
Reisner D, Shima T (2013) Optimal guidance-to-collision law for an accelerating exoatmospheric interceptor missile. J Guidance Control Dyn 36(6):1695–1708
Shima T (2011) Intercept-angle guidance. J Guidance Control Dyn 34(2):484
Kim M, Grider KV (1973) Terminal guidance for impact attitude angle constrained flight trajectories. IEEE Trans Aerosp Electron Syst AES-9(6):852–859
Song TL, Shin SJ (1999) Time-optimal impact angle control for vertical plane engagements. IEEE Trans Aerosp Electron Syst 35(2):738–742
Zarchan P (2012) Tactical and strategic missile guidance. American Institute of Aeronautics and Astronautics
Ryoo C-K, Cho H, Tahk M-J (2005) Optimal guidance laws with terminal impact angle constraint. J Guidance Control Dyn 28(4):724–732
Ohlmeyer EJ, Phillips CA (2006) Generalized vector explicit guidance. J Guidance Control Dyn 29(2):261–268
Ryoo C-K, Cho H, Tahk M-J (2006) Time-to-go weighted optimal guidance with impact angle constraints. IEEE Trans Control Syst Technol 14(3):483–492
Lee C-H, Tahk M-J, Lee J-I (2013) Generalized formulation of weighted optimal guidance laws with impact angle constraint. IEEE Trans Aerosp Electron Syst 49(2):1317–1322
Seo M-G, Lee C-H, Tahk M-J (2017) New design methodology for impact angle control guidance for various missile and target motions. IEEE Trans Control Syst Technol
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He, S., Lee, CH., Shin, HS., Tsourdos, A. (2020). Gravity-Turn-Assisted Optimal Intercept Angle Guidance Law. In: Optimal Guidance and Its Applications in Missiles and UAVs. Springer Aerospace Technology. Springer, Cham. https://doi.org/10.1007/978-3-030-47348-8_7
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DOI: https://doi.org/10.1007/978-3-030-47348-8_7
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