Generalized Triangle Guidance for Safeguarding Target Using Barrier Lyapunov Function

Abstract

No AccessEngineering NotesGeneralized Triangle Guidance for Safeguarding Target Using Barrier Lyapunov FunctionShashi Ranjan Kumar and Dwaipayan MukherjeeShashi Ranjan Kumar https://orcid.org/0000-0001-6446-7281Indian Institute of Technology Bombay, Mumbai 400 076, India*Assistant Professor, Intelligent Systems and Control Laboratory, Department of Aerospace Engineering, Powai; . Senior Member AIAA.Search for more papers by this author and Dwaipayan Mukherjee https://orcid.org/0000-0001-6993-9305Indian Institute of Technology Bombay, Mumbai 400 076, India†Assistant Professor, Department of Electrical Engineering, Powai; .Search for more papers by this authorPublished Online:22 Aug 2022https://doi.org/10.2514/1.G006705SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations About References [1] 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[2] Lu P., “Introducing Computational Guidance and Control,” Journal of Guidance, Control, and Dynamics, Vol. 40, No. 2, 2017, pp. 193–193. https://doi.org/10.2514/1.G002745 LinkGoogle Scholar[3] Boyell R., “Defending a Moving Target Against Missile or Torpedo Attack,” IEEE Transactions on Aerospace and Electronic Systems, Vol. 12, No. 4, 1976, pp. 522–526. https://doi.org/10.1109/TAES.1976.308338 CrossrefGoogle Scholar[4] Boyell R., “Counterweapon Aiming for Defense of a Moving Target,” IEEE Transactions on Aerospace and Electronic Systems, Vol. 16, No. 3, 1980, pp. 402–408. https://doi.org/10.1109/TAES.1980.308911 CrossrefGoogle Scholar[5] Friedrichs A. and Balakrishnan S., “Optimal Triangle Guidance for Aerial Defense,” 50th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, AIAA Paper 2012-0135, 2012. https://doi.org/10.2514/6.2012-135 LinkGoogle Scholar[6] Yamasaki T., Balakrishnan S. and Takano H., “Modified Command to Line-of-Sight Intercept Guidance for Aircraft Defense,” Journal of Guidance, Control, and Dynamics, Vol. 36, No. 3, 2013, pp. 898–902. https://doi.org/10.2514/1.58566 LinkGoogle Scholar[7] Yamasaki T. and Balakrishnan S., “Intercept Guidance for Cooperative Aircraft Defense Against a Guided Missile,” IFAC Proceedings Volumes, Vol. 43, No. 15, 2010, pp. 118–123. https://doi.org/10.3182/20100906-5-JP-2022.00021 CrossrefGoogle Scholar[8] Ratnoo A. and Shima T., “Line-of-Sight Interceptor Guidance for Defending an Aircraft,” Journal of Guidance, Control, and Dynamics, Vol. 34, No. 2, 2011, pp. 522–532. https://doi.org/10.2514/1.50572 LinkGoogle Scholar[9] Perelman A., Shima T. and Rusnak I., “Cooperative Differential Games Strategies for Active Aircraft Protection from a Homing Missile,” Journal of Guidance, Control, and Dynamics, Vol. 34, No. 3, 2011, pp. 761–773. https://doi.org/10.2514/1.51611 LinkGoogle Scholar[10] Liang L., Deng F., Lu M. and Chen J., “Analysis of Role Switch for Cooperative Target Defense Differential Game,” IEEE Transactions on Automatic Control, Vol. 66, No. 2, 2020, pp. 902–909. https://doi.org/10.1109/TAC.2020.2987701 Google Scholar[11] Liang L., Deng F., Peng Z., Li X. and Zha W., “A Differential Game for Cooperative Target Defense,” Automatica, Vol. 102, 2019, pp. 58–71. https://doi.org/10.1016/j.automatica.2018.12.034 CrossrefGoogle Scholar[12] Garcia E., Casbeer D. 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TopicsAir NavigationBoundary Element MethodComputational Fluid DynamicsControl TheoryFluid DynamicsGuidance, Navigation, and Control SystemsMissile Guidance and ControlMissile Systems, Dynamics and TechnologyNavigational GuidanceNonlinear Control TheoryOptimal Control Theory KeywordsSliding Mode ControlNumerical SimulationOptimal ControlHeading AngleGuidance SystemState Dependent Riccati EquationFlight Path AngleProportional NavigationBoundary Value ProblemsReinforcement LearningPDF Received21 January 2022Accepted24 July 2022Published online22 August 2022

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