Time-Constrained Interception with Bounded Field of View and Input Using Barrier Lyapunov Approach

No AccessEngineering NotesTime-Constrained Interception with Bounded Field of View and Input Using Barrier Lyapunov ApproachSwati Singh, Shashi Ranjan Kumar and Dwaipayan MukherjeeSwati SinghIndian Institute of Technology Bombay, Powai 400 076, Mumbai, India*Ph.D. Research Scholar, Intelligent Systems and Control Laboratory, Department of Aerospace Engineering; .Search for more papers by this author, Shashi Ranjan Kumar https://orcid.org/0000-0001-6446-7281Indian Institute of Technology Bombay, Powai 400 076, Mumbai, India†Associate Professor, Intelligent Systems and Control Laboratory, Department of Aerospace Engineering; . Senior Member AIAA.Search for more papers by this author and Dwaipayan Mukherjee https://orcid.org/0000-0001-6993-9305Indian Institute of Technology Bombay, Powai 400 076, Mumbai, India‡Assistant Professor, Department of Electrical Engineering; .Search for more papers by this authorPublished Online:4 Oct 2023https://doi.org/10.2514/1.G007770SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations ShareShare onFacebookTwitterLinked InRedditEmail About References [1] Li Z. and Ding Z., “Robust Cooperative Guidance Law for Simultaneous Arrival,” IEEE Transactions on Control Systems Technology, Vol. 27, No. 3, 2018, pp. 1360–1367. https://doi.org/10.1109/TCST.2018.2804348 Google Scholar[2] Lu P., “What Is Guidance?” Journal of Guidance, Control, and Dynamics, Vol. 44, No. 7, 2021, pp. 1237–1238. https://doi.org/10.2514/1.G006191 LinkGoogle Scholar[3] Harl N. and Balakrishnan S., “Impact Time and Angle Guidance with Sliding Mode Control,” IEEE Transactions on Control Systems Technology, Vol. 20, No. 6, 2011, pp. 1436–1449. https://doi.org/10.1109/TCST.2011.2169795 CrossrefGoogle Scholar[4] Seo M.-G., Lee C.-H. and Tahk M.-J., “New Design Methodology for Impact Angle Control Guidance for Various Missile and Target Motions,” IEEE Transactions on Control Systems Technology, Vol. 26, No. 6, 2017, pp. 2190–2197. https://doi.org/10.1109/TCST.2017.2749560 Google Scholar[5] Rao S. and Ghose D., “Terminal Impact Angle Constrained Guidance Laws Using Variable Structure Systems Theory,” IEEE Transactions on Control Systems Technology, Vol. 21, No. 6, 2013, pp. 2350–2359. https://doi.org/10.1109/TCST.2013.2276476 CrossrefGoogle Scholar[6] Jeon I.-S., Lee J.-I. and Tahk M.-J., “Impact-Time-Control Guidance Law for Anti-Ship Missiles,” IEEE Transactions on Control Systems Technology, Vol. 14, No. 2, 2006, pp. 260–266. https://doi.org/10.1109/TCST.2005.863655 CrossrefGoogle Scholar[7] Jeon I.-S., Lee J.-I. and Tahk M.-J., “Impact-Time-Control Guidance with Generalized Proportional Navigation Based on Nonlinear Formulation,” Journal of Guidance, Control, and Dynamics, Vol. 39, No. 8, 2016, pp. 1885–1890. https://doi.org/10.2514/1.G001681 LinkGoogle Scholar[8] Kumar S. R. and Ghose D., “Impact Time and Angle Control Guidance,” AIAA Guidance, Navigation, and Control Conference, AIAA Paper 2015-0616, 2015. LinkGoogle Scholar[9] Cho D., Kim H. J. and Tahk M.-J., “Nonsingular Sliding Mode Guidance for Impact Time Control,” Journal of Guidance, Control, and Dynamics, Vol. 39, No. 1, 2015, pp. 61–68. https://doi.org/10.2514/1.G001167 LinkGoogle Scholar[10] Tekin R., Erer K. S. and Holzapfel F., “Adaptive Impact Time Control Via Look-Angle Shaping Under Varying Velocity,” Journal of Guidance, Control, and Dynamics, Vol. 40, No. 12, 2017, pp. 3247–3255. https://doi.org/10.2514/1.G002981 LinkGoogle Scholar[11] Tekin R., Erer K. S. and Holzapfel F., “Polynomial Shaping of the Look Angle for Impact-Time Control,” Journal of Guidance, Control, and Dynamics, Vol. 40, No. 10, 2017, pp. 2668–2673. https://doi.org/10.2514/1.G002751 LinkGoogle Scholar[12] Tekin R., Erer K. S. and Holzapfel F., “Control of Impact Time with Increased Robustness via Feedback Linearization,” Journal of Guidance, Control, and Dynamics, Vol. 39, No. 7, 2016, pp. 1682–1689. https://doi.org/10.2514/1.G001719 LinkGoogle Scholar[13] Lu P., Doman D. B. and Schierman J. D., “Adaptive Terminal Guidance for Hypervelocity Impact in Specified Direction,” Journal of Guidance, Control, and Dynamics, Vol. 29, No. 2, 2006, pp. 269–278. https://doi.org/10.2514/1.14367 LinkGoogle Scholar[14] Chen X. and Wang J., “Nonsingular Sliding-Mode Control for Field-of-View Constrained Impact Time Guidance,” Journal of Guidance, Control, and Dynamics, Vol. 41, No. 5, 2017, pp. 1214–1222. https://doi.org/10.2514/1.G003146 LinkGoogle Scholar[15] Zhang Y., Wang X. and Wu H., “Impact Time Control Guidance Law with Field of View Constraint,” Aerospace Science and Technology, Vol. 39, Dec. 2014, pp. 361–369. https://doi.org/10.1016/j.ast.2014.10.002 CrossrefGoogle Scholar[16] Zhang Y., Wang X. and Wu H., “Impact Time Control Guidance with Field-Of-View Constraint Accounting for Uncertain System Lag,” Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, Vol. 230, No. 3, 2016, pp. 515–529. CrossrefGoogle Scholar[17] Kim H.-G. and Kim H. J., “Impact Time Control Guidance Considering Seeker’s Field-of-View Limits,” Conference on Decision and Control, IEEE Publ., Piscataway, NJ, 2016, pp. 4160–4165. Google Scholar[18] Kim H.-G. and Kim H. J., “Backstepping-Based Impact Time Control Guidance Law for Missiles with Reduced Seeker Field-of-View,” IEEE Transactions on Aerospace and Electronic Systems, Vol. 55, No. 1, 2019, pp. 82–94. https://doi.org/10.1109/TAES.2018.2848319 CrossrefGoogle Scholar[19] Jeon I.-S. and Lee J.-I., “Impact-Time-Control Guidance Law with Constraints on Seeker Look Angle,” IEEE Transactions on Aerospace and Electronic Systems, Vol. 53, No. 5, 2017, pp. 2621–2627. https://doi.org/10.1109/TAES.2017.2698837 CrossrefGoogle Scholar[20] Lee S., Ann S., Cho N. and Kim Y., “Capturability of Guidance Laws for Interception of Nonmaneuvering Target with Field-of-View Limit,” Journal of Guidance, Control, and Dynamics, Vol. 42, No. 4, 2018, pp. 869–884. https://doi.org/10.2514/1.G003860 Google Scholar[21] Kim H.-G., Lee J.-Y., Kim H. J., Kwon H.-H. and Park J.-S., “Look-Angle-Shaping Guidance Law for Impact Angle and Time Control with Field-of-View Constraint,” IEEE Transactions on Aerospace and Electronic Systems, Vol. 56, No. 2, 2020, pp. 1602–1612. https://doi.org/10.1109/TAES.2019.2924175 CrossrefGoogle Scholar[22] Dhananjay N., Ghose D. and Bhat M. S., “Capturability of a Geometric Guidance Law in Relative Velocity Space,” IEEE Transactions on Control Systems Technology, Vol. 17, No. 1, 2008, pp. 111–122. https://doi.org/10.1109/TCST.2008.924561 Google Scholar[23] Dhananjay N., Ghose D. and Bhat M. S., “Performance Analysis of Guidance Laws Based on Timescale Gap,” IEEE Transactions on Control Systems Technology, Vol. 18, No. 3, 2009, pp. 574–590. https://doi.org/10.1109/TCST.2009.2024534 Google Scholar[24] Dhananjay N., Lum K.-Y. and Xu J.-X., “Proportional Navigation with Delayed Line-of-Sight Rate,” IEEE Transactions on Control Systems Technology, Vol. 21, No. 1, 2012, pp. 247–253. https://doi.org/10.1109/TCST.2011.2177980 Google Scholar[25] Chen X. and Wang J., “Nonsingular Sliding-Mode Control for Field-of-View Constrained Impact Time Guidance,” Journal of Guidance, Control, and Dynamics, Vol. 41, No. 5, 2018, pp. 1214–1222. https://doi.org/10.2514/1.G003146 LinkGoogle Scholar[26] Mukherjee D. and Kumar S. R., “Field-of-View Constrained Impact Time Guidance Against Stationary Targets,” IEEE Transactions on Aerospace and Electronic Systems, Vol. 57, No. 5, 2021, pp. 3296–3306. https://doi.org/10.1109/TAES.2021.3074202 CrossrefGoogle Scholar[27] Kumar S. R. and Mukherjee D., “Three-Dimensional Nonsingular Impact Time Guidance with Limited Field-of-View,” IEEE Transactions on Control Systems Technology, Vol. 30, No. 4, 2021, pp. 1448–1459. https://doi.org/10.1109/TCST.2021.3116800 Google Scholar[28] Singh S., Kumar S. R. and Mukherjee D., “Barrier Lyapunov Function Based Impact Time Guidance with Field-of-View and Input Constraints,” IFAC-PapersOnLine, Vol. 55, No. 22, 2022, pp. 412–417. https://doi.org/10.1016/j.ifacol.2023.03.069 CrossrefGoogle Scholar[29] Zarchan P., Tactical and Strategic Missile Guidance, AIAA, Reston, VA, 2012, pp. 21–433. Google Scholar[30] Rout R., Cui R. and Han Z., “Modified Line-of-Sight Guidance Law with Adaptive Neural Network Control of Underactuated Marine Vehicles with State and Input Constraints,” IEEE Transactions on Control Systems Technology, Vol. 28, No. 5, 2020, pp. 1902–1914. https://doi.org/10.1109/TCST.2020.2998798 Google Scholar[31] Zheng Z., Huang Y., Xie L. and Zhu B., “Adaptive Trajectory Tracking Control of a Fully Actuated Surface Vessel with Asymmetrically Constrained Input and Output,” IEEE Transactions on Control Systems Technology, Vol. 26, No. 5, 2017, pp. 1851–1859. https://doi.org/10.1109/TCST.2017.2728518 Google Scholar[32] Zhang J., Sun W. and Jing H., “Nonlinear Robust Control of Antilock Braking Systems Assisted by Active Suspensions for Automobile,” IEEE Transactions on Control Systems Technology, Vol. 27, No. 3, 2018, pp. 1352–1359. https://doi.org/10.1109/TCST.2018.2810823 Google Scholar[33] Tee K. P., Ge S. S. and Tay E. H., “Barrier Lyapunov Functions for the Control of Output-Constrained Nonlinear Systems,” Automatica, Vol. 45, No. 4, 2009, pp. 918–927. https://doi.org/10.1016/j.automatica.2008.11.017 CrossrefGoogle Scholar[34] Ren B., Ge S. S., Tee K. P. and Lee T. H., “Adaptive Neural Control for Output Feedback Nonlinear Systems Using a Barrier Lyapunov Function,” IEEE Transactions on Neural Networks, Vol. 21, No. 8, 2010, pp. 1339–1345. https://doi.org/10.1109/TNN.2010.2047115 CrossrefGoogle Scholar[35] Sinha A., Kumar S. R. and Mukherjee D., “Three-Dimensional Guidance with Terminal Time Constraints for Wide Launch Envelops,” Journal of Guidance, Control, and Dynamics, Vol. 44, No. 2, 2021, pp. 343–359. https://doi.org/10.2514/1.G005180 LinkGoogle Scholar[36] Tee K. P., Ren B. and Ge S. S., “Control of Nonlinear Systems with Time-Varying Output Constraints,” Automatica, Vol. 47, No. 11, 2011, pp. 2511–2516. https://doi.org/10.1016/j.automatica.2011.08.044 CrossrefGoogle Scholar Previous article Next article FiguresReferencesRelatedDetails What's Popular Articles in Advance CrossmarkInformationCopyright © 2023 by the authors. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. All requests for copying and permission to reprint should be submitted to CCC at www.copyright.com; employ the eISSN 1533-3884 to initiate your request. See also AIAA Rights and Permissions www.aiaa.org/randp. TopicsControl TheoryGuidance and Navigational AlgorithmsGuidance, Navigation, and Control SystemsMissile Guidance and ControlMissile Systems, Dynamics and TechnologyNavigational GuidanceNonlinear Control TheoryOptimal Control TheorySpacecraft Guidance and Control KeywordsTerminal Sliding ModeGuidance, Navigation, and Control SystemsOptimal Control ProblemSpacecraft Guidance and ControlProportional NavigationGuidance and Navigational AlgorithmsImpact Time Control GuidanceNonlinear Control TheoryInput ConstraintsField-of-view constraintsPDF Received5 June 2023Accepted17 August 2023Published online4 October 2023