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http://dx.doi.org/10.9766/KIMST.2017.20.1.108

Path Tracking Controller Design for Surface Vessel Based on Sliding Mode Control Method with Switching Law  

Lee, JunKu (The 6th Research and Development Institute, Agency for Defense Development)
Publication Information
Journal of the Korea Institute of Military Science and Technology / v.20, no.1, 2017 , pp. 108-118 More about this Journal
Abstract
In this paper, the path tracking controller for a surface vessel based on the sliding mode control (SMC) with the switching law is proposed. In order to have no restriction on movement and improved tracking performance, the proposed control system is developed as follows: First, the kinematic and dynamic models in Cartesian coordinates are considered to solve the singularity problem at the origin. Second, the new multiple sliding surfaces are designed with the SMC and approach angle concept to solve the under-actuated property. Third, the switching control system is designed to improve tracking performance. To prove the stability of the proposed switching system under the arbitrary switching, the Lyapunov stability analysis method with the common Lyapunov function is used. Finally, the computer simulations are performed to demonstrate the performance, effectiveness and stability of the proposed tracking controller of a surface vessel.
Keywords
Surface Vessel; Tracking Control; Sliding Mode Control; Switching Control System; Common Lyapunov Function;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 Z. S. Mi and Y. G. Kim, "Intelligent 3D Obstacles Recognition Technique Based on Support Vector Machines for Autonomous Underwater Vehicles," International Journal of Fuzzy Logic and Intelligent Systems, Vol. 9, No. 3, pp. 213-218, 2009.   DOI
2 Y. H. Choi and K. J. Kim, "Robust Path Tracking Control for Autonomous Underwater Vehicle with Variable Speed," Journal of The Korean Institute of Intelligent Systems, Vol. 20, No. 4, pp. 476-482, 2010.   DOI
3 H. Ashrafiuon, K. R. Muske, L. C. McNinch and R. A. Soltan, "Sliding Mode Tracking Control of Surface Vessels," IEEE Trans. Industrial Electronics, Vol. 55, No. 11, pp. 4004-4012, 2008.   DOI
4 F. Repoulias and E. Papadopoulos, "Planar Trajectory Planning and Tracking Control Design for Underactuated AUVs," Ocean Engineering, Vol. 34. No. 11, pp. 1650-1667, 2007.   DOI
5 A. Pedro Aguiar and M. Pascoal Antonio, "Dynamic Positioning and Way-Point Tracking of Underactuated AUVs in the Presence of Ocean Currents," International Journal of Control, Vol. 80. No. 7, pp. 1092-1108, 2007.   DOI
6 N. R. Gans and S. A. Hutchinson, "Stable Visual Serving Through Hybrid Switched-System Control," IEEE Trans. Robotics and Automation, Vol. 23. No. 3, pp. 530-540, 2007.   DOI
7 V. Sankaranarayanan and A. D. Mahindrakar "Switched Control of a Nonholonomic Mobile Robot," Commun Nonlinear Science Numerical Simulation, Vol. 14, No. 5, pp. 2319-2327, 2009.   DOI
8 A. S. Morse, "Supervisory Control of Families of Linear Set-Point Controllers Part I. Exact Matching," IEEE Trans. Automatic Control Vol. 41, pp. 1413-1431, 1996.   DOI
9 S. R. Kulkarni and P. J. Ramadge, "Model and Controller Selection Policies Based on Output Prediction Errors," IEEE Trans. Automatic Control, Vol. 41, pp. 1594-1604, 1996.   DOI
10 K. S. Narendra and J. Balakrishnan, "Adaptive Control using Multiple Models," IEEE Trans. Automatic Control, Vol. 42, pp. 171-187, 1997.   DOI
11 D. Liberzon and A. S. Morse, "Basic Problems in Stability and Design of Switched System," IEEE Control Systems, Vol. 19, No. 5, pp. 59-70, 1999.   DOI
12 DeCarlo, Raymond A. and et al., "Perspectives and Results on the Stability and Stabilizability of Hybrid Systems," Proceedings of the IEEE, Vol. 88, No. 7, pp. 1069-1082, 2000.   DOI
13 Liberzon, Daniel, Joao P. Hespanha, and A. Stephen Morse, "Stability of Switched Systems : A Lie-Algebraic Condition," Systems & Control Letters, Vol. 37, No. 3, pp. 117-122, 1999.   DOI
14 Z. He, S. Zhang, and J. Wu, "Sliding Mode Control of Switched Linear Systems Based on Common Lyapunov Function," Proc. of the 3rd Int. Symp. on Systems and Control in Aeronautics and Astronautics, Vol. 1, pp. 300-304, 2010.
15 O. M. A. Al-Ola, K. Fujimoto and T. Yoshinaga, "Common Lyapunov Function Based on Kullback-Leibler Divergence for a Switched Nonlinear System," Mathematical Problems in Engineering, Vol. 1, pp. 1-12, 2011.
16 W. Gao and J. C. Hung, "Variable Structure Control of Nonlinear Systems : A New Approach," IEEE Trans. Ind. Electron., Vol. 40, No. 1, pp. 45-55, 1993.   DOI
17 C. J. Fallaha, M. Saad, H. Y. Kanaan, and K. A. Haddad, "Sliding Mode Robot Control with Exponential Reaching Law," IEEE Trans. Ind. Electron., Vol. 58, No. 2, pp. 600-610, 2011.   DOI
18 K. Y. Pettersen and H. Nijmeijer, "Underactuated Ship Tracking Control : Theory and Experiments," Int. Jour. of Control, Vol. 74, No. 14, pp. 1435-1446, 2001.   DOI
19 F. A. Papoulias and Z. Oral, "Hopf Bifurcation and Nonlinear Studies of Gain Margins in Path Control of Marine Vehicles," Applied Ocean Research, Vol. 17, No. 1, pp. 21-32, 1995.   DOI
20 F. A. Papoulias, "Cross Track Error and Proportional Turning Rate Guidance of Marine Vehicles," Journal of Ship Research, Vol. 38, No. 2, pp. 123-132, 1994.
21 Z. P. Jiang, "Global Tracking Control of Underactuated Ships by Lyapunov's Direct Method," Automatica, Vol. 38, No. 1, pp. 301-309, 2002.   DOI
22 E. Lefeber, K. Y. Pettersen and H. Nijmeijer, "Tracking Control of an Underactuated Ship," IEEE Trans. Control Systems Technology, Vol. 11, No. 1, pp. 52-61, 2003.   DOI
23 J. M. Godhavn, T. I. Fossen and S. Berge, "Nonlinear and Adaptive Back Stepping Design for Tracking Control of Ships," Int. Jour. of Adaptive Control and Signal Processing, Vol. 12, No. 8, pp. 649-670, 1998.   DOI
24 K. K. Do, "Practical Control of Underactuated Ships," Ocean Engineering, Vol. 37, No. 13, pp. 1111-1119, 2010.   DOI
25 B. He and Z. Zhou, "Path Planning and Tracking for AUV in Large-Scale Environment," Proc. of Asia Conf. on Information in Control, Automation and Robotics, Wuhan, China, pp. 318-321, 2010.
26 D. Swaroop, J. K. Hedrick, P. P. Yip and J. C. Gerdes, "Dynamic Surface Control for a Class of Nonlinear Systems," IEEE Trans. Automatic Control, Vol. 45, No. 10, pp. 1893-1899, 2000.   DOI
27 L. Lapierre and D. Soetanto, "Nonlinear Path- Following Control of an AUV," Ocean Engineering, Vol. 34, No. 11-12, pp. 1734-1744, 2007.   DOI
28 Y. Kim, J. Lee, S. Park, B. Jeon and P. Lee "Path Tracking Control for Underactuated AUVs Based on Resolved Motion Acceleration Control," Proc. of Conference on Autonomous Robots and Agents, Wellington, New Zealand, pp. 342-346, 2009.
29 B. Subudhi and D. Atta, "Design of a Path Following Controller for an Underactuated AUV," Archives of Control Sciences, Vol. 19, No. 3, pp. 245-259, 2009.
30 F. Repoulias and E. Papadopoulos, "Planar Trajectory Planning and Tracking Control Design for Underactuated AUVs," Ocean Engineering, Vol. 34, No. 11-12, pp. 1650-1667, 2007.   DOI
31 K. D. Do, "Practical Formation Control of Multiple Underactuated Ships with Limited Sensing Ranges," Robotics and Autonomous Systems, Vol. 59, No. 6, pp. 457-471, 2011.   DOI
32 E. Yang and D. Gu, "Nonlinear Formation-Keeping and Mooring Control of Multiple Autonomous Underwater Vehicles," IEEE Trans. Mechatronics, Vol. 12, No. 2, pp. 164-178, 2007.   DOI
33 R. Skjetne, S. Moi and T. Fossen, "Nonlinear Formation Control of Marine Craft," Proc. of IEEE Conference Decision and Control, pp. 1699-1704, Las Vegas, 2002.