{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,22]],"date-time":"2025-11-22T11:29:10Z","timestamp":1763810950603,"version":"build-2065373602"},"reference-count":51,"publisher":"MDPI AG","issue":"19","license":[{"start":{"date-parts":[[2022,10,2]],"date-time":"2022-10-02T00:00:00Z","timestamp":1664668800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Electrical Engineering Faculty, Gdynia Maritime University, Poland","award":["WE\/2022\/PZ\/02"],"award-info":[{"award-number":["WE\/2022\/PZ\/02"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>This work provides a mathematical description of a process game for the safe driving of a ship that encounters other ships. State and control constraint variables, as well as a set of acceptable ship tactics, are taken into consideration. Multi-criteria optimization operations are developed as positional and matrix games, based on cooperative, non-cooperative, and classical (non-game) optimal steering control. Adequate algorithms for ship collision avoidance, relating to the above operations, are developed and verified through digital simulation of a real navigational situation using MATLAB\/Simulink.<\/jats:p>","DOI":"10.3390\/rs14194928","type":"journal-article","created":{"date-parts":[[2022,10,10]],"date-time":"2022-10-10T03:07:28Z","timestamp":1665371248000},"page":"4928","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Review of Ship Collision Avoidance Guidance Algorithms Using Remote Sensing and Game Control"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9281-376X","authenticated-orcid":false,"given":"J\u00f3zef","family":"Lisowski","sequence":"first","affiliation":[{"name":"Faculty of Marine Electrical Engineering, Gdynia Maritime University, 81-225 Gdynia, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,10,2]]},"reference":[{"key":"ref_1","first-page":"11","article-title":"The dynamic game models of safe navigation","volume":"1","author":"Lisowski","year":"2007","journal-title":"TRANSNAV Int. J. Mar. Nav. Safety Sea Transp."},{"key":"ref_2","first-page":"64","article-title":"The optimal and safe ship trajectories for different forms of neural state constraints","volume":"180","author":"Lisowski","year":"2012","journal-title":"Mechatr. Syst. Mech. Mater."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"3","DOI":"10.2478\/pomr-2014-0024","article-title":"Comparison of dynamic games in application to safe ship control","volume":"21","author":"Lisowski","year":"2014","journal-title":"Pol. Marit. Res."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"3822","DOI":"10.1109\/TFUZZ.2020.3028907","article-title":"COLREGs-constrained adaptive fuzzy event-triggered control for underactuated surface vessels with the actuator failures","volume":"29","author":"Li","year":"2020","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"ref_5","first-page":"1","article-title":"A robust fuzzy speed regulator for unmanned sailboat robot via the composite ILOS guidance","volume":"8","author":"Zhang","year":"2022","journal-title":"Nonlinear"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1007\/978-3-030-48587-0_20","article-title":"Advanced ship control methods","volume":"Volume 296","author":"Kulczycki","year":"2021","journal-title":"Automatic Control, Robotics, and Information Processing"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1016\/j.oceaneng.2017.09.020","article-title":"Review of ship safety domains: Models and applications","volume":"145","author":"Szlapczynski","year":"2017","journal-title":"Ocean. Eng."},{"key":"ref_8","first-page":"375","article-title":"Waypoint path controller for ships","volume":"14","author":"Tomera","year":"2020","journal-title":"TRANSNAV Int. J. Mar. Nav. Safety Sea Transp."},{"key":"ref_9","first-page":"117","article-title":"Design of an autonomous transport system for coastal areas","volume":"12","author":"Lebkowski","year":"2018","journal-title":"TRANSNAV Int. J. Mar. Nav. Safety Sea Transp."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Gao, Q., Song, L., and Yao, J. (2021). RANS prediction of wave-induced ship motions and steady wave forces and moments in regular waves. J. Mar. Sci. Eng., 9.","DOI":"10.3390\/jmse9121459"},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Borkowski, P. (2018). Numerical modeling of wave disturbances in the process of ship movement control. Algorithms, 11.","DOI":"10.3390\/a11090130"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1016\/j.oceaneng.2019.04.098","article-title":"Cooperative operation of autonomous surface vehicles for maintaining formation in complex marine environment","volume":"183","author":"Hinostroza","year":"2019","journal-title":"Ocean Eng."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Sun, Z., Sun, H., Li, P., and Zou, J. (2022). Self-organizing cooperative pursuit strategy for multi-USV with dynamic obstacle ships. J. Mar. Sci. Eng., 10.","DOI":"10.3390\/jmse10050562"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1016\/j.fishres.2017.07.018","article-title":"Stabilization of an uncertain simple fishery management game","volume":"203","author":"Engwerda","year":"2018","journal-title":"Fish. Res."},{"key":"ref_15","unstructured":"Singh, S.K., and Reddy, P.V. (2021). Dynamic network analysis of a target defense differential game with limited observations. arXiv."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"5169","DOI":"10.1109\/TII.2019.2955966","article-title":"Cooperative differential game-based optimal control and its application to power systems","volume":"16","author":"Mu","year":"2020","journal-title":"IEEE Trans. Ind. Inform."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Hagen, I.B., Kufoalor, K.M., Brekke, E.F., and Johansen, T.A. (2018, January 21\u201325). MPC-based collision avoidance strategy for existing marine vessel guidance systems. Proceedings of the IEEE International Conference on Robotics and Automation, Brisbane, Australia.","DOI":"10.1109\/ICRA.2018.8463182"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Huang, Y., Zhang, T., and Zhu, Q. (2022). The inverse problem of linear-quadratic differential games: When is a control strategies profile Nash?. arXiv.","DOI":"10.1109\/Allerton49937.2022.9929408"},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Braquet, M., and Bakolas, E. (2022). Vector field-based collision avoidance for moving obstacles with time-varying elliptical shape. arXiv.","DOI":"10.1016\/j.ifacol.2022.11.246"},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Chen, Y., Georgiou, T.T., and Pavon, M. (2019). Covariance steering in zero-sum linear-quadratic two-player differential games. arXiv.","DOI":"10.1109\/CDC40024.2019.9029576"},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Gronbaek, L., Lindroos, M., Munro, G., and Pintassilgo, P. (2020). Cooperative games in fisheries with more than two players. Game Theory and Fisheries Management, Springer.","DOI":"10.1007\/978-3-030-40112-2"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1680","DOI":"10.1134\/S0005117917090120","article-title":"On an approach to constructing a characteristic function in cooperative differential games. Project: Cooperative differential games with applications to ecological management","volume":"78","author":"Gromova","year":"2017","journal-title":"Autom. Remote Control."},{"key":"ref_23","unstructured":"Basar, T., and Olsder, G.J. (2013). Dynamic Non-Cooperative Game Theory, Siam."},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Lisowski, J. (2021). Synthesis of a path-planning algorithm for autonomous robots moving in a game environment during collision avoidance. Electronics, 10.","DOI":"10.3390\/electronics10060675"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"37","DOI":"10.24136\/jaeee.2022.005","article-title":"Multi-criteria multi-stage game optimization","volume":"4","author":"Lisowski","year":"2022","journal-title":"J. Autom. Electron. Electr. Eng."},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Lisowski, J. (2020). Game control methods comparison when avoiding collisions with multiple objects using radar remote sensing. Remote Sens., 12.","DOI":"10.3390\/rs12101573"},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Ehrgott, M., and Gandibleux, X. (2002). Multiple Criteria Optimization: State of the Art Annotated Bibliographic Surveys, Kluwer Academic Press.","DOI":"10.1007\/b101915"},{"key":"ref_28","unstructured":"Engwerda, J.C. (2005). LQ Dynamic Optimization and Differential Games, John Wiley & Sons."},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Falcone, M., and Ferretti, R. (2014). Semi-Lagrangian Approximation Schemes for Linear and Hamilton-Jacobi Equations, Sian.","DOI":"10.1137\/1.9781611973051"},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Guenin, B., Konemann, J., and Tuncel, L. (2014). A Gentle Introduction to Optimization, Cambridge University Press.","DOI":"10.1017\/CBO9781107282094"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"700","DOI":"10.2307\/2003985","article-title":"Differential games","volume":"19","author":"Hermes","year":"1965","journal-title":"Math. Comput."},{"key":"ref_32","unstructured":"Li, Y., and Vorobeychik, Y. (2019). Path planning games. Multiagent Syst. arXiv."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1007\/s00158-003-0368-6","article-title":"Survey of multi-objective optimization methods for engineering","volume":"26","author":"Marler","year":"2004","journal-title":"Struct. Multidiscip. Optim."},{"key":"ref_34","unstructured":"Osborne, M.J. (2004). An Introduction to Game Theory, Oxford University Press."},{"key":"ref_35","doi-asserted-by":"crossref","unstructured":"Speyer, J.L., and Jacobson, D.H. (2010). Primer on Optimal Control Theory, Siam.","DOI":"10.1137\/1.9780898718560"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"1389","DOI":"10.1109\/TRO.2020.2994881","article-title":"A real-time game theoretic planner for autonomous two-player drone racing","volume":"36","author":"Spica","year":"2020","journal-title":"IEEE Trans. Robot."},{"key":"ref_37","unstructured":"Wells, D. (2003). Game and Mathematics, Cambridge University Press."},{"key":"ref_38","doi-asserted-by":"crossref","unstructured":"Yong, J. (2018). Optimization Theory\u2014A Concise Introduction, World Scientific.","DOI":"10.1142\/10923"},{"key":"ref_39","doi-asserted-by":"crossref","unstructured":"Lazarowska, A. (2022). Safe Trajectory Planning for Maritime Surface Ships, Shipbuilding and Shipping.","DOI":"10.1007\/978-3-030-97715-3"},{"key":"ref_40","unstructured":"Isaacs, R. (1965). Differential Games, John Wiley & Sons."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1007\/s00158-004-0465-1","article-title":"Adaptive weighted sum method for bi-objective optimization: Pareto front generation","volume":"29","author":"Kim","year":"2005","journal-title":"Struct. Multidiscip. Opt."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1002\/mcda.1481","article-title":"Early history of multiple criteria decision making","volume":"20","author":"Koksalan","year":"2013","journal-title":"J. Multi-Criteria Decis. Anal."},{"key":"ref_43","unstructured":"Legriel, J. (2011). Multicriteria Optimization and Its Application to Multi-Processor Embedded Systems. [Ph.D. Thesis, Grenoble University]."},{"key":"ref_44","doi-asserted-by":"crossref","unstructured":"Millington, I., and Funge, J. (2018). Artificial Intelligence for Games, CRC Press.","DOI":"10.1201\/9781315375229"},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"1932","DOI":"10.1109\/TAC.2018.2867359","article-title":"Embedding constrained model predictive control in a continuous-time dynamic feedback","volume":"64","author":"Nicotra","year":"2019","journal-title":"IEEE Trans. Autom. Control"},{"key":"ref_46","doi-asserted-by":"crossref","unstructured":"Nisan, N., Roughgarden, T., Tardos, E., and Vazirani, V.V. (2007). Algorithmic Game Theory, Cambridge University Press.","DOI":"10.1017\/CBO9780511800481"},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"1","DOI":"10.9790\/3021-031020114","article-title":"Review of multi-criteria optimization methods\u2014Theory and applications","volume":"3","author":"Odu","year":"2013","journal-title":"IOSR J. Eng."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"404","DOI":"10.1109\/LCSYS.2018.2889963","article-title":"A Distributed method for linear programming problems with box constraints and time-varying inequalities","volume":"3","author":"Hosseinzadeh","year":"2018","journal-title":"IEEE Control. Syst. Lett."},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"431","DOI":"10.1023\/A:1021179727569","article-title":"Generating well-distributed sets of Pareto points for engineering design using physical programming","volume":"3","author":"Messac","year":"2002","journal-title":"J. Optim. Eng."},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1023\/A:1010035730904","article-title":"Agregate objective functions and Pareto frontiers: Required relationships and practical implications","volume":"1","author":"Messac","year":"2000","journal-title":"J. Optim. Eng."},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"106175","DOI":"10.1016\/j.oceaneng.2019.106175","article-title":"A cooperative game approach for assessing the collision risk in multi-vessel encountering","volume":"187","author":"Liu","year":"2019","journal-title":"Ocean Eng."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/14\/19\/4928\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T00:45:31Z","timestamp":1760143531000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/14\/19\/4928"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,10,2]]},"references-count":51,"journal-issue":{"issue":"19","published-online":{"date-parts":[[2022,10]]}},"alternative-id":["rs14194928"],"URL":"https:\/\/doi.org\/10.3390\/rs14194928","relation":{},"ISSN":["2072-4292"],"issn-type":[{"type":"electronic","value":"2072-4292"}],"subject":[],"published":{"date-parts":[[2022,10,2]]}}}