journal article·2018-06-22Open access

Stabilization of Underactuated Surface Vessels: A Continuous Fractional Power Control Method

Pengfei Zhang, Ge Guo

Applied Sciences· Volume 8· Issue 7

Abstract

This paper investigates the problem of global asymptotic stabilization of underactuated surface vessels (USVs) whose dynamics features off-diagonal inertia and damping matrices. By using input and state transformations, the dynamic model of USV is converted into an equivalent system consisting of two cascade connected subsystems. For the transformed system, a continuous fractional power control framework is given to achieve global asymptotic stabilization of USVs. Then, the convergence under this framework is analyzed showing that the rate can be improved by adjusting the fractional power term. Finally, a continuous control algorithm is proposed to guarantee the global convergence rate of the USV system. Simulations are given to demonstrate the effectiveness of the presented method.
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Research context

OpenAlex topics: Control and Dynamics of Mobile Robots · Adaptive Control of Nonlinear Systems · Advanced Differential Equations and Dynamical Systems

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Affiliations

Department of Automation, Dalian Maritime University, Dalian 110819, China

Funding

National Natural Science Foundation of China

References (32)

Show source-provided references
1. Pettersen, K.Y., and Egeland, O. (1996, January 13). Exponential stabilization of an underactuated surface vessel. Proceedings of the 35th IEEE Conference on Decision and Control, Kobe, Japan.
2. Asymptotic stability and feedback stabilization
3. Oriolo, G., and Nakamura, Y. (1991, January 11–13). Control of mechanical systems with second-order nonholonomic constraints: Underactuated manipulators. Proceedings of the 30th IEEE Conference on Decision and Control, Brighton, UK.
4. Reyhanoglu, M. (1996, January 13). Control and stabilization of an underactuated surface vessel. Proceedings of the 35th IEEE Conference on Decision and Control, Kobe, Japan.
5. Underactuated dynamic positioning of a ship-experimental results10.1109/87.865859 ↗
6. Asymptotic backstepping stabilization of an underactuated surface vessel10.1109/TCST.2006.880220 ↗
7. Global κ-exponential asymptotic stabilization of underactuated surface vessels10.1016/j.sysconle.2008.10.011 ↗
8. Switching-based asymptotic stabilisation of underactuated ships with non-diagonal terms in their system matrices10.1049/iet-cta.2014.0869 ↗
9. Pettersen, K.Y., and Nijmeijer, H. (2000, January 12–15). Semi-global practical stabilization and disturbance adaptation for an underactuated ship. Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia.
10. Global uniform asymptotic stabilization of an underactuated surface vessel10.1109/TAC.2002.803554 ↗
11. Global uniform asymptotic stabilization of an underactuated surface vessel: experimental results10.1109/TCST.2004.833643 ↗
12. Global time-varying stabilization of underactuated surface vessel10.1109/TAC.2005.849248 ↗
13. Control of chained systems application to path following and time-varying point-stabilization of mobile robots10.1109/9.362899 ↗
14. Global asymptotic trajectory tracking and point stabilization of asymmetric underactuated ships with non-diagonal inertia/damping matrices10.5772/56671 ↗
15. Further results on global stabilisation and tracking control for underactuated surface vessels with non-diagonal inertia and damping matrices10.1080/00207179.2015.1013061 ↗
16. Robust global uniform asymptotic stabilization of underactuated surface vessels with unknown model parameters10.1002/rnc.3129 ↗
17. A continuous feedback approach to global strong stabilization of nonlinear systems10.1109/9.935058 ↗
18. Finite-time tracking control of a nonholonomic mobile robot10.1002/asjc.112 ↗
19. A finite-time state feedback stabilization method for a class of second order nonlinear systems10.1360/aas-007-0101 ↗
20. Trajectory tracking of underactuated surface vessels: A linear algebra approach10.1109/TCST.2013.2271505 ↗
21. Fossen, T.I. (2002). Marine Control Systems: Guidance, Navigation and Control of Ships, Rigs and Underwater Vehicles, Marine Cybernetics.
22. Fossen, T.I. (1994). Guidance and Control of Ocean Vehicles, John Wiley & Sons Inc.
23. Pettersen, K.Y. (1996). Exponential Stabilization of Underactuated Vehicles, Norwegian University of Science Technology.
24. Global tracking control of underactuated ships with nonzero off-diagonal terms in their system matrices
25. Slotine, J., and Li, W. (1991). Applied Nonlinear Control, Prentice Hall.
26. Underactuated ships follow smooth paths with integral actions and without velocity measurements for feedback: Theory and experiments10.1109/TCST.2005.863665 ↗
27. Forward and inverse dynamics of nonholonomic mechanical systems10.1007/s11012-014-9937-6 ↗
28. Pappalardo, C.M., and Guida, D. (2018). Use of the Adjoint Method for Controlling the Mechanical Vibrations of Nonlinear Systems. Machines, 6.10.3390/machines6020019 ↗
29. Control of nonlinear vibrations using the adjoint method10.1007/s11012-016-0601-1 ↗
30. Adjoint-based optimization procedure for active vibration control of nonlinear mechanical systems10.1115/1.4035609 ↗
31. Contact force control in multibody pantograph/ catenary systems
32. Control design of an active suspension system for a quarter-car model with hysteresis