This
paper proposes a fixed-time control scheme to ensure that the dynamic
positioning can accurately reach the specified position under external
interference. A fixed-time state observer was developed to accurately estimate
the total external unknown interference. Based on the dynamic positioning ship
motion model, the inversion design method is used to ensure the stability of
the system and eliminate various uncertain effects. A fixed-time backstepping
sliding mode controller is designed. Finally, the simulation results show that
the method has good performance and advantages.
References
[1]
Srensen, A.J. (2011) A Survey of Dynamic Positioning Control Systems. Annu. Rev. Control, 35, 123-136. https://doi.org/10.1016/j.arcontrol.2011.03.008
[2]
Hassani, V., Sorensen, A.J. and Pascoal, A.M. (2013) A Novel Methodology for Robust Dynamic Positioning of Marine Vessels: Theory and Experiments. Proc. of the 2013 American Control Conference, Washington, DC, 17-19 June 2013, 560-565.
https://doi.org/10.1109/ACC.2013.6579896
[3]
Cui, R., Zhang, X. and Cui, D. (2016) Adaptive Sliding-Mode Attitude Control for Autonomous Underwater Vehicles with Input Nonlinearities. Ocean Engineering, 123, 45-54. https://doi.org/10.1016/j.oceaneng.2016.06.041
[4]
Dai, Y., Yu, S., Yan, Y. and Yu, X. (2019) An EKF-Based Fast Tube MPC Scheme for Moving Target Tracking of a Redundant Underwater Vehicle-Manipulator System. IEEE/ASME Transactions on Mechatronics, 24, 2803-2814.
https://doi.org/10.1109/TMECH.2019.2943007
[5]
Mazenc, F., Pettersen, K.Y. and Nijmeijer, H. (2002) Global Uniform Asymptotic Stabilization of an Underactuated Surface Vessel. IEEE Transactions on Automatic Control, 47, 1759-1762. https://doi.org/10.1109/TAC.2002.803554
[6]
Du, H. Zhu, W., Wen, G. and Wu, D. (2017) Finite-Time Formation Control for a Group of Quadrotor Aircraft. Aerospace Science and Technology, 69, 609-616.
https://doi.org/10.1016/j.ast.2017.07.012
[7]
Qiao, J., Zhang, D., Zhu, Y. and Zhang, P. (2018) Disturbance Observer-Based Finite-Time Attitude Maneuver Control for Micro Satellite under Actuator Deviation Fault. Aerospace Science and Technology, 82, 262-271.
https://doi.org/10.1016/j.ast.2018.09.007
[8]
Hua, C., Wang, K., Chen, J. and You, X. (2018) Tracking Differentiator and Extended State Observer-Based Nonsingular Fast Terminal Sliding Mode Attitude Control for a Quadrotor. Nonlinear Dynamics, 94, 343-354.
https://doi.org/10.1007/s11071-018-4362-3
[9]
Sun, H.B., Li, S.H. and Sun, C.Y. (2013) Finite Time Integral Sliding Mode Control of Hypersonic Vehicles. Nonlinear Dynamics, 73, 229-344.
https://doi.org/10.1007/s11071-013-0780-4
[10]
Polyakov, A. (2012) Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems. IEEE Transaction on Automat Control, 57, 2106-2110.
https://doi.org/10.1109/TAC.2011.2179869
[11]
Zuo, Z. and Tie, L. (2014) A New Class of Finite-Time Nonlinear Consensus Protocols for Multi-Agent Systems Protocols for Multi-Agent Systems. International Journal of Control, 87, 363-370. https://doi.org/10.1080/00207179.2013.834484
[12]
Guo, G. and Zhang, P. (2019) Asymptotic Stabilization of USVs with Actuator Dead-Zones and Yaw Constraints Based on Fixed-Time Disturbance Observer. IEEE Transactions on Vehicular Technology, 69, 302-316
https://doi.org/10.1109/TVT.2019.2955020
[13]
Fossen, T.I. (2011) Handbook of Marine Craft Hydrodynamics and Motion Control. John Wiley & Sons, Inc., Chichester, UK.
https://doi.org/10.1002/9781119994138
