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2020 | OriginalPaper | Buchkapitel

8. Minimum-Effort Waypoint-Following Guidance Law

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

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

Verlag: Springer International Publishing

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Abstract

This chapter addresses the problem of minimum-effort waypoint-following guidance with/without arrival angle constraints of a UAV. By utilizing a linearized kinematics model, the proposed guidance laws are derived as the solutions of a linear quadratic optimal control problem with an arbitrary number of terminal boundary constraints. Theoretical analysis reveals that both optimal proportional navigation guidance and trajectory shaping guidance are special cases of the proposed guidance laws. The key feature of the proposed algorithms lies in their generic property. For this reason, the guidance laws developed can be applied to general waypoint-following missions with an arbitrary number of waypoints and an arbitrary number of arrival angle constraints. Nonlinear numerical simulations clearly demonstrate the effectiveness of the proposed formulations.

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Literatur
1.
Zurück zum Zitat Rysdyk R (2006) Unmanned aerial vehicle path following for target observation in wind. J Guid Control Dyn 29(5):1092–1100CrossRef Rysdyk R (2006) Unmanned aerial vehicle path following for target observation in wind. J Guid Control Dyn 29(5):1092–1100CrossRef
2.
Zurück zum Zitat Beard RW, Ferrin J, Humpherys J (2014) Fixed wing uav path following in wind with input constraints. IEEE Trans Control Syst Technol 22(6):2103–2117CrossRef Beard RW, Ferrin J, Humpherys J (2014) Fixed wing uav path following in wind with input constraints. IEEE Trans Control Syst Technol 22(6):2103–2117CrossRef
3.
Zurück zum Zitat Kapitanyuk YA, Proskurnikov AV, Cao M (2018) A guiding vector-field algorithm for path-following control of nonholonomic mobile robots. IEEE Trans Control Syst Technol 26(4):1372–1385CrossRef Kapitanyuk YA, Proskurnikov AV, Cao M (2018) A guiding vector-field algorithm for path-following control of nonholonomic mobile robots. IEEE Trans Control Syst Technol 26(4):1372–1385CrossRef
4.
Zurück zum Zitat Olavo JLG, Thums GD, Jesus TA, de Araújo Pimenta LC, Torres LAB, Palhares RM (2018) Robust guidance strategy for target circulation by controlled uav. IEEE Trans Aerosp Electron Syst 54(3):1415–1431 Olavo JLG, Thums GD, Jesus TA, de Araújo Pimenta LC, Torres LAB, Palhares RM (2018) Robust guidance strategy for target circulation by controlled uav. IEEE Trans Aerosp Electron Syst 54(3):1415–1431
5.
Zurück zum Zitat Delingette H, Hebert M, Ikeuchi K (1991) Trajectory generation with curvature constraint based on energy minimization. In: IEEE/RSJ international workshop on intelligent robots and systems’ 91. Intelligence for mechanical systems, proceedings IROS’91, pp 206–211. IEEE Delingette H, Hebert M, Ikeuchi K (1991) Trajectory generation with curvature constraint based on energy minimization. In: IEEE/RSJ international workshop on intelligent robots and systems’ 91. Intelligence for mechanical systems, proceedings IROS’91, pp 206–211. IEEE
6.
Zurück zum Zitat Spangelo I, Egeland O (1992) Generation of energy-optimal trajectories for an autonomous underwater vehicle. In: 1992 IEEE international conference on robotics and automation, 1992. Proceedings, pp 2107–2112. IEEE Spangelo I, Egeland O (1992) Generation of energy-optimal trajectories for an autonomous underwater vehicle. In: 1992 IEEE international conference on robotics and automation, 1992. Proceedings, pp 2107–2112. IEEE
7.
Zurück zum Zitat Moon G, Kim Y (2003) Optimum flight path design passing through waypoints for autonomous flight control system. In: AIAA guidance, navigation, and control conference and exhibit Moon G, Kim Y (2003) Optimum flight path design passing through waypoints for autonomous flight control system. In: AIAA guidance, navigation, and control conference and exhibit
8.
Zurück zum Zitat Kaplan A, Kingry N, Uhing P, Dai R (2017) Time-optimal path planning with power schedules for a solar-powered ground robot. IEEE Trans Autom Sci Eng 14(2):1235–1244CrossRef Kaplan A, Kingry N, Uhing P, Dai R (2017) Time-optimal path planning with power schedules for a solar-powered ground robot. IEEE Trans Autom Sci Eng 14(2):1235–1244CrossRef
9.
Zurück zum Zitat Zollars MD, Cobb RG, Grymin DJ (2018) Optimal path planning for suas waypoint following in urban environments. In: 2018 IEEE Aerospace Conference. IEEE Zollars MD, Cobb RG, Grymin DJ (2018) Optimal path planning for suas waypoint following in urban environments. In: 2018 IEEE Aerospace Conference. IEEE
10.
Zurück zum Zitat Ataei M, Yousefi-Koma A (2015) Three-dimensional optimal path planning for waypoint guidance of an autonomous underwater vehicle. Robot Auton Syst 67:23–32CrossRef Ataei M, Yousefi-Koma A (2015) Three-dimensional optimal path planning for waypoint guidance of an autonomous underwater vehicle. Robot Auton Syst 67:23–32CrossRef
11.
Zurück zum Zitat Garcia G, Keshmiri S (2011) Nonlinear model predictive controller for navigation, guidance and control of a fixed-wing uav. In: AIAA guidance, navigation, and control conference Garcia G, Keshmiri S (2011) Nonlinear model predictive controller for navigation, guidance and control of a fixed-wing uav. In: AIAA guidance, navigation, and control conference
12.
Zurück zum Zitat He S, Shin H-S, Tsourdos A (2019) Trajectory optimization for target localization with bearing-only measurement. IEEE Trans Robot 35(3):653–668CrossRef He S, Shin H-S, Tsourdos A (2019) Trajectory optimization for target localization with bearing-only measurement. IEEE Trans Robot 35(3):653–668CrossRef
13.
Zurück zum Zitat Frew EW, Langelaan J, Joo S (2006) Adaptive receding horizon control for vision-based navigation of small unmanned aircraft. In: American control conference, 2006, pp. 2160–2165. IEEE Frew EW, Langelaan J, Joo S (2006) Adaptive receding horizon control for vision-based navigation of small unmanned aircraft. In: American control conference, 2006, pp. 2160–2165. IEEE
14.
Zurück zum Zitat Keviczky T, Balas GJ (2005) Flight test of a receding horizon controller for autonomous uav guidance. In: American control conference, 2005. Proceedings of the 2005, pp 3518–3523. IEEE Keviczky T, Balas GJ (2005) Flight test of a receding horizon controller for autonomous uav guidance. In: American control conference, 2005. Proceedings of the 2005, pp 3518–3523. IEEE
15.
Zurück zum Zitat Sprinkle J, Eklund JM, Kim HJ, Sastry S (2004) Encoding aerial pursuit/evasion games with fixed wing aircraft into a nonlinear model predictive tracking controller. In: 43rd IEEE conference on decision and control, 2004. CDC, vol 3, pp 2609–2614. IEEE Sprinkle J, Eklund JM, Kim HJ, Sastry S (2004) Encoding aerial pursuit/evasion games with fixed wing aircraft into a nonlinear model predictive tracking controller. In: 43rd IEEE conference on decision and control, 2004. CDC, vol 3, pp 2609–2614. IEEE
16.
Zurück zum Zitat Ick Ho Whang and Tae Won Hwang (2002) Horizontal waypoint guidance design using optimal control. IEEE Trans Aerosp Electron Syst 38(3):1116–1120CrossRef Ick Ho Whang and Tae Won Hwang (2002) Horizontal waypoint guidance design using optimal control. IEEE Trans Aerosp Electron Syst 38(3):1116–1120CrossRef
17.
Zurück zum Zitat Ryoo C-K, Shin H-S, Tahk M-J (2010) Energy optimal waypoint guidance synthesis for antiship missiles. IEEE Trans Aerosp Electron Syst 46(1):80–95CrossRef Ryoo C-K, Shin H-S, Tahk M-J (2010) Energy optimal waypoint guidance synthesis for antiship missiles. IEEE Trans Aerosp Electron Syst 46(1):80–95CrossRef
18.
Zurück zum Zitat Cottrell RG (1971) Optimal intercept guidance for short-range tactical missiles. AIAA J 9(7):1414–1415CrossRef Cottrell RG (1971) Optimal intercept guidance for short-range tactical missiles. AIAA J 9(7):1414–1415CrossRef
19.
Zurück zum Zitat Jeon I-S, Lee J-I (2010) Optimality of proportional navigation based on nonlinear formulation. IEEE Trans Aerosp Electron Syst 46(4):2051–2055CrossRef Jeon I-S, Lee J-I (2010) Optimality of proportional navigation based on nonlinear formulation. IEEE Trans Aerosp Electron Syst 46(4):2051–2055CrossRef
20.
Zurück zum Zitat Palumbo NF, Blauwkamp RA, Lloyd JM (2010) Basic principles of homing guidance. Johns Hopkins APL Tech Digest 29(1):25–41 Palumbo NF, Blauwkamp RA, Lloyd JM (2010) Basic principles of homing guidance. Johns Hopkins APL Tech Digest 29(1):25–41
21.
Zurück zum Zitat Shaferman V, Shima T (2008) Linear quadratic guidance laws for imposing a terminal intercept angle. J Guid Control Dyn 31(5):1400–1412CrossRef Shaferman V, Shima T (2008) Linear quadratic guidance laws for imposing a terminal intercept angle. J Guid Control Dyn 31(5):1400–1412CrossRef
22.
Zurück zum Zitat Palumbo NF, Blauwkamp RA, Lloyd JM (2010) Modern homing missile guidance theory and techniques. Johns Hopkins APL Tech Digest 29(1):42–59 Palumbo NF, Blauwkamp RA, Lloyd JM (2010) Modern homing missile guidance theory and techniques. Johns Hopkins APL Tech Digest 29(1):42–59
23.
Zurück zum Zitat Nesline FW (1981) Zarchan P (1981) A new look at classical vs modern homing missile guidance. J Guid Control Dyn 4(1):78–85CrossRef Nesline FW (1981) Zarchan P (1981) A new look at classical vs modern homing missile guidance. J Guid Control Dyn 4(1):78–85CrossRef
24.
Zurück zum Zitat Shaoming H, Chang-Hun L (2018) Optimal proportional-integral guidance with reduced sensitivity to target maneuvers. IEEE Trans Aerosp Electron Syst Shaoming H, Chang-Hun L (2018) Optimal proportional-integral guidance with reduced sensitivity to target maneuvers. IEEE Trans Aerosp Electron Syst
25.
Zurück zum Zitat He S, Lee C-H (2018) Optimality of error dynamics in missile guidance problems. J Guid Control Dyn 41(7):1620–1629 He S, Lee C-H (2018) Optimality of error dynamics in missile guidance problems. J Guid Control Dyn 41(7):1620–1629
26.
Zurück zum Zitat Weiss M, Shima T, Castaneda D, Rusnak I (2017) Combined and cooperative minimum-effort guidance algorithms in an active aircraft defense scenario. J Guid Control Dyn 40(5):1241–1254CrossRef Weiss M, Shima T, Castaneda D, Rusnak I (2017) Combined and cooperative minimum-effort guidance algorithms in an active aircraft defense scenario. J Guid Control Dyn 40(5):1241–1254CrossRef
27.
Zurück zum Zitat 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
28.
Zurück zum Zitat 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
29.
Zurück zum Zitat Lee C-H, Kim T-H, Tahk M-J (2013) Interception angle control guidance using proportional navigation with error feedback. J Guid Control Dyn 36(5):1556–1561CrossRef Lee C-H, Kim T-H, Tahk M-J (2013) Interception angle control guidance using proportional navigation with error feedback. J Guid Control Dyn 36(5):1556–1561CrossRef
30.
Zurück zum Zitat Tzon-Tzer L, Shiou S-H (2002) Inverses of 2\(\times \) 2 block matrices. Comput Math Appl 43(1–2):119–129MathSciNetMATH Tzon-Tzer L, Shiou S-H (2002) Inverses of 2\(\times \) 2 block matrices. Comput Math Appl 43(1–2):119–129MathSciNetMATH
Metadaten
Titel
Minimum-Effort Waypoint-Following Guidance Law
verfasst von
Shaoming He
Chang-Hun Lee
Hyo-Sang Shin
Antonios Tsourdos
Copyright-Jahr
2020
DOI
https://doi.org/10.1007/978-3-030-47348-8_8

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