Abstract
A controller which is locally optimal near the origin and globally inverse optimal for the nonlinear system is proposed for path following of over actuated marine crafts with actuator dynamics. The motivation is the existence of undesired signals sent to the actuators, which can result in bad behavior in path following. To attenuate the oscillation of the control signal and obtain smooth thrust outputs, the actuator dynamics are added into the ship maneuvering model. Instead of modifying the Line-of-Sight (LOS) guidance law, this proposed controller can easily adjust the vessel speed to minimize the large cross-track error caused by the high vessel speed when it is turning. Numerical simulations demonstrate the validity of this proposed controller.
Similar content being viewed by others
References
Bibuli M, Bruzzone G, Caccia M, Lapierre L, 2009. Path-following algorithms and experiments for an unmanned surface vehicle. Journal of Field Robotics, 26(8), 669–688. DOI: 10.1002/rob.20303
Børhaug E, Pavlov A, Pettersen KY, 2008. Integral LOS control for path following of underactuated marine surface vessels in the presence of constant ocean currents. Proceedings of 47th IEEE Conference on Decision and Control, Cancun, 4984–4991.
Breivik M, 2010. Topics in guided motion control of marine vehicles. PhD thesis, Norwegian University of Science and Technology, Tyrondeheim, 34–44.
Breivik M, Hovstein VE, Fossen TI, 2008. Straight-line target tracking for unmanned surface vehicles. Modeling Identification & Control, 29(4), 131–149. DOI: 10.4173/mic.2008.4.2
Caharija W, 2014. Integral line-of-sight guidance and control of underactuated marine vehicles. PhD thesis, Norwegian University of Science and Technology, Tyrondeheim, 39–51.
Chen W, 2011. On the convergence rate of the Leake-Liu algorithm for solving Hamilton-Jacobi-Bellman equation. Proceedings of 18th IFAC World Congress, Milano, 8064–8069.
Do KD, 2015. Global inverse optimal tracking control of underactuated omni-directional intelligent navigators (ODINs). Journal of Marine Science and Application, 14(1), 1–13. DOI: 10.1007/s11804-015-1288-8
Ezal K, Pan Z, Kokotovic PV, 1997. Locally optimal backstepping design. Proceedings of the 36th IEEE Conference on Decision and Control, San Diego, 1767–1773.
Fossen TI, 2011. Handbook of marine craft hydrodynamics and motion control. John Wiley & Sons, Chichester, 109–131.
Fossen TI, Berge SP, 1997. Nonlinear vectorial backstepping design for global exponential tracking of marine vessels in the presence of actuator dynamics. Proceedings of the 36th IEEE Conference on Decision and Control, San Diego, 4237–4242.
Fossen TI, Breivik M, Skjetne R, 2003. Line-of-sight path following of underactuated marine craft. Proceedings of the 6th IFAC International Conference on Manoeuvring and Control of Marine Craft, Girona, 244–249.
Fossen TI, Strand JP, 1999. Tutorial on nonlinear backstepping: applications to ship control. Modeling, Identification and Control, 20(2), 83–135. DOI: 10.4173/mic.1999.2.3
Fossen TI, Strand JP, 2001. Nonlinear passive weather optimal positioning control (WOPC) system for ships and rigs: experimental results. Automatica, 37(5), 701–715. DOI: 10.1016/S0005-1098(01)00006-1
Fossen TI, Pettersen KY, 2014. On uniform semiglobal exponential stability (USGES) of proportional line-of-sight guidance laws. Automatica, 50(11), 2912–2917. DOI: 10.1016/j.automatica.2014.10.018
Kim H, Back J, Shim H, Seo JH, 2008. Locally optimal and globally inverse optimal controller for multi-input nonlinear systems. Proceedings of American Control Conference, Seattle, 4486–4491.
Lapierre L, Jouvencel B, 2008. Robust nonlinear path-following control of an AUV. IEEE Journal of Oceanic Engineering, 33(2), 89–102. DOI: 10.1109/JOE.2008.923554
Lekkas AM, 2014. Guidance and path planing system for autonomous vehicles. PhD thesis, Norwegian University of Science and Technology, Tyrondeheim, 129–137.
Lekkas AM, Fossen TI, 2012. A time-varying lookahead distance guidance law for path following. Proceedings of 9th IFAC Conference on Manoeuvring and Control of Marine Craft, Arenzano, 398–403.
Lekkas AM, Fossen TI, 2013. Line-of-sight guidance for path following of marine vehicles. Chapter 5 in: Advanced in Marine Robotics, O. Gal, Ed., LAP LAMBERT Academic Publishing, 63–92.
Liu L, Wang D, Peng Z, 2016. Eso-based line-of-sight guidance law for path following of underactuated marine surface vehicles with exact sideslip compensation. IEEE Journal of Oceanic Engineering, pp(99), 1–11. DOI: 10.1109/JOE.2016.2569218.
Morishita HM, Souza CES, 2014. Modified observer backstepping controller for a dynamic positioning system. Control Engineering Practice, 33, 105–114. DOI: 10.1016/j.conengprac.2014.08.012
Pavlov A, Nordahl H, Breivik M, 2009. MPC-based optimal path following for underactuated vessels. Proceedings of 8th IFAC International Conference on Manoeuvring and Control of Marine Craft, Guaruja, 340–345.
Peymani E, Fossen TI, 2013. Speed-varying path following for underactuated marine craft. Control Applications in Marine Systems, 9(1), 79–84. DOI: 10.3182/20130918-4-JP-3022.00010
Skjetne R, 2005. The maneuvering problem. PhD thesis, Norwegian University of Science and Technology, Tyrondeheim, 121–153.
Skjetne R, Fossen TI, Kokotovic P, 2004a. Robust output maneuvering for a class of nonlinear systems. Automatica, 40(3), 373–383. DOI: 10.1016/j.automatica.2003.10.010
Skjetne R, Smogeli ØN, Fossen TI, 2004b. A nonlinear ship manoeuvering model: Identification and adaptive control with experiments for a model ship. Modeling, Identification and Control, 25(1), 3–27. DOI: 10.4173/mic.2004.1.1
Strand JP, 1999. Nonlinear position control system design for marine vessels. PhD thesis, Norwegian University of Science and Technology, Tyrondeheim, 55–64.
Strand JP, Ezal K, Fossen TI, Kokotovic PV, 1998a. Nonlinear control of ships: a locally optimal design. Proceedings of the IFAC International Conference on Nonlinear Control System Symposium, Enschede, 732–738.
Strand JP, Fossen TI, 1998b. Nonlinear output feedback and locally optimal control of dynamically positioned ships: Experimental results. Proceedings of IFAC Conference on Control Application in Marine Systems, Fukuoka, 89–94.
Yuan L, Wu H, 2010. Terminal sliding mode fuzzy control based on multiple sliding surfaces for nonlinear ship autopilot systems. Journal of Marine Science and Application, 9(4), 425–430. DOI: 10.1007/s11804-010-1029-y
Zheng Z, Sun L, 2016. Path following control for marine surface vessel with uncertainties and input saturation. Neurocomputing, 177, 158–167. DOI: 10.1016/j.neucom.2015.11.017
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: Supported by the National Natural Science Foundation of China under Grant Nos. 61301279, 51479158; and the Fundamental Research Funds for the Central Universities under Grant No. WUT: 163102006
Rights and permissions
About this article
Cite this article
Qu, Y., Xu, H., Yu, W. et al. Inverse optimal control for speed-varying path following of marine vessels with actuator dynamics. J. Marine. Sci. Appl. 16, 225–236 (2017). https://doi.org/10.1007/s11804-017-1410-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11804-017-1410-1