Skip to main content
Top

2020 | OriginalPaper | Chapter

7. Gravity-Turn-Assisted Optimal Intercept Angle Guidance Law

Authors : Shaoming He, Chang-Hun Lee, Hyo-Sang Shin, Antonios Tsourdos

Published in: Optimal Guidance and Its Applications in Missiles and UAVs

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

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.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference He S, Song T, Lin D (2017) Impact angle constrained integrated guidance and control for maneuvering target interception. J Guidance Control Dyn 40(10):2653–2661CrossRef He S, Song T, Lin D (2017) Impact angle constrained integrated guidance and control for maneuvering target interception. J Guidance Control Dyn 40(10):2653–2661CrossRef
2.
go back to reference Reisner D, Shima T (2013) Optimal guidance-to-collision law for an accelerating exoatmospheric interceptor missile. J Guidance Control Dyn 36(6):1695–1708CrossRef Reisner D, Shima T (2013) Optimal guidance-to-collision law for an accelerating exoatmospheric interceptor missile. J Guidance Control Dyn 36(6):1695–1708CrossRef
3.
4.
go back to reference Kim M, Grider KV (1973) Terminal guidance for impact attitude angle constrained flight trajectories. IEEE Trans Aerosp Electron Syst AES-9(6):852–859 Kim M, Grider KV (1973) Terminal guidance for impact attitude angle constrained flight trajectories. IEEE Trans Aerosp Electron Syst AES-9(6):852–859
5.
go back to reference Song TL, Shin SJ (1999) Time-optimal impact angle control for vertical plane engagements. IEEE Trans Aerosp Electron Syst 35(2):738–742 Song TL, Shin SJ (1999) Time-optimal impact angle control for vertical plane engagements. IEEE Trans Aerosp Electron Syst 35(2):738–742
6.
go back to reference Zarchan P (2012) Tactical and strategic missile guidance. American Institute of Aeronautics and Astronautics Zarchan P (2012) Tactical and strategic missile guidance. American Institute of Aeronautics and Astronautics
7.
go back to reference Ryoo C-K, Cho H, Tahk M-J (2005) Optimal guidance laws with terminal impact angle constraint. J Guidance Control Dyn 28(4):724–732CrossRef Ryoo C-K, Cho H, Tahk M-J (2005) Optimal guidance laws with terminal impact angle constraint. J Guidance Control Dyn 28(4):724–732CrossRef
8.
go back to reference Ohlmeyer EJ, Phillips CA (2006) Generalized vector explicit guidance. J Guidance Control Dyn 29(2):261–268 Ohlmeyer EJ, Phillips CA (2006) Generalized vector explicit guidance. J Guidance Control Dyn 29(2):261–268
9.
go back to reference 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):483–492CrossRef 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):483–492CrossRef
10.
go back to reference 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):1317–1322CrossRef 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):1317–1322CrossRef
11.
go back to reference 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 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
Metadata
Title
Gravity-Turn-Assisted Optimal Intercept Angle Guidance Law
Authors
Shaoming He
Chang-Hun Lee
Hyo-Sang Shin
Antonios Tsourdos
Copyright Year
2020
DOI
https://doi.org/10.1007/978-3-030-47348-8_7

Premium Partner