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Dynamic Positioning Control System with Input Time-Delay Using Fuzzy Approximation Approach

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Abstract

In this paper, a backstepping controller using fuzzy approximation approaches is proposed to solve the problem of input time-delay and disturbances pertaining to ship dynamic positioning. Using fuzzy approximating to disturbances and unmodeled dynamics, backstepping control law is designed to stabilize ship positioning with input time-delay via Lyapunov approach. In order to demonstrate the effectiveness and superiority of the proposed method, simulation studies and comprehensive comparisons with PID control are conducted in the presence of complex disturbances. Simulation results show that the proposed method is superior to conventional PID control in terms of accuracy and response.

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References

  1. Conrado de Souza, E., Maruyama, N.: Intelligent UUVs: some issues on ROV dynamic positioning. IEEE Trans. Aerosp. Electron. Syst. 43(1), 214–226 (2007)

    Article  Google Scholar 

  2. Sørensen, A.J.: A survey of dynamic positioning control systems. Ann. Rev. Control 35(1), 123–136 (2011)

    Article  Google Scholar 

  3. Xia, G., Xue, J., Jiao, J., et al.: Adaptive fuzzy control for dynamic positioning ships with time-delay of actuator. In: OCEANS 2016 MTS/IEEE Monterey, IEEE, pp. 1–6 (2016)

  4. Zhang, G., Cai, Y., Zhang, W.: Robust neural control for dynamic positioning ships with the optimum-seeking guidance. IEEE Trans. Syst. Man Cybern. Syst. 99, 1–10 (2016)

    Google Scholar 

  5. Wu, T.Z., Juang, Y.T.: Adaptive fuzzy sliding-mode controller of uncertain nonlinear systems. ISA Trans. 47(3), 279–285 (2008)

    Article  Google Scholar 

  6. Wang, N., Sun, J.C., Meng, J.E.: Tracking-error-based universal adaptive fuzzy control for output tracking of nonlinear systems with completely unknown dynamics. IEEE Trans. Fuzzy Syst. 99, 1 (2017)

    Google Scholar 

  7. Wang, N., Sun, J.C., Meng, J.E., et al.: A novel extreme learning control framework of unmanned surface vehicles. IEEE Trans. Cybern. 46(5), 1106–1117 (2016)

    Article  Google Scholar 

  8. Hoang, N.Q., Kreuzer, E.: Adaptive PD-controller for positioning of a remotely operated vehicle close to an underwater structure: theory and experiments. Control Eng. Pract. 15(4), 411–419 (2007)

    Article  Google Scholar 

  9. Kim, Y.S., Kim, J., Sung, H.G.: Weather-optimal control of a dynamic positioning vessel using backstepping: simulation and model experiment. IFAC-PapersOnLine 49(23), 232–238 (2016)

    Article  Google Scholar 

  10. Wang, N., Meng, J.E.: Direct adaptive fuzzy tracking control of marine vehicles with fully unknown parametric dynamics and uncertainties. IEEE Trans. Control Syst. Technol. 24(5), 1–8 (2016)

    Article  Google Scholar 

  11. Pan, C.Z., Yang, S.X., Lai, X.Z., et al: An efficient neural network based tracking controller for autonomous underwater vehicles subject to unknown dynamics. In: Control and Decision Conference (2014 CCDC), The 26th Chinese, IEEE, pp. 3300–3305 (2014)

  12. Xu, J., Kang, X., Chen, X.: Disturbance observer based backstepping sliding mode dynamic positioning control for UUV under wave disturbance. In: Control and Decision Conference, pp. 6345–6349. IEEE (2016)

  13. Hu, X., Du, J., Shi, J.: Adaptive fuzzy controller design for dynamic positioning system of vessels. Appl. Ocean Res. 53, 46–53 (2015)

    Article  Google Scholar 

  14. Ishaque, K., Abdullah, S.S., Ayob, S.M., et al.: A simplified approach to design fuzzy logic controller for an underwater vehicle. Ocean Eng. 38(1), 271–284 (2011)

    Article  Google Scholar 

  15. Xia, G., Pang, C., Xue, J.: Fuzzy neural network-based robust adaptive control for dynamic positioning of underwater vehicles with input dead-zone. J. Intell. Fuzzy Syst. 29(6), 2585–2595 (2015)

    Article  MATH  Google Scholar 

  16. Fang, M.C., Lee, Z.Y.: Application of neuro-fuzzy algorithm to portable dynamic positioning control system for ships. Int. J. Naval Arch. Ocean Eng. 8(1), 38–52 (2016)

    Article  Google Scholar 

  17. Pai, M.C.: Discrete-time sliding mode control for uncertain systems with state and input delays. Int. J. Syst. Sci. 41(12), 1501–1510 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  18. Ngongi, W.E., Du, J., Wang, R.: Robust fuzzy controller design for dynamic positioning system of ships. Int. J. Control Autom. Syst. 13(5), 1294–1305 (2015)

    Article  Google Scholar 

  19. Yamamoto, M., Morooka, C.K.: Dynamic positioning system of semi-submersible platform using fuzzy control. J. Braz. Soc. Mech. Sci. Eng. 27(4), 449–455 (2005)

    Article  Google Scholar 

  20. Morishita, H.M., Souza, C.E.S.: Modified observer backstepping controller for a dynamic positioning system. Control Eng. Pract. 33(33), 105–114 (2014)

    Article  Google Scholar 

  21. Gassara, H., Hajjaji, A.E., Chaabane, M.: Control of time delay polynomial fuzzy model subject to actuator saturation. Int. J. Fuzzy Syst. 18(5), 1–10 (2016)

    Article  MathSciNet  Google Scholar 

  22. Lin, T.C., Lin, Y.C., Du, Z., et al.: Indirect adaptive fuzzy supervisory control with state observer for unknown nonlinear time delay system. Int. J. Fuzzy Syst. 19(1), 215–224 (2017)

    Article  MathSciNet  Google Scholar 

  23. Wu, T.S., Karkoub, M., Wu, T.S.: H∞ fuzzy adaptive tracking control design for nonlinear systems with output delays. Fuzzy Sets Syst. 254, 1–25 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  24. Yu, J., Yi, Z.: Stability analysis and fuzzy control for uncertain delayed T-S nonlinear systems. Int. J. Fuzzy Syst. 18(6), 1031–1038 (2016)

    Article  MathSciNet  Google Scholar 

  25. Zhou, Q., Wu, C., Jing, X., et al.: Adaptive fuzzy backstepping dynamic surface control for nonlinear input-delay systems. Neurocomputing 199(C), 58–65 (2016)

    Article  Google Scholar 

  26. Shen, Y., Peng, S., Yang, H.: Adaptive fuzzy control of strict-feedback nonlinear time-delay systems with unmodeled dynamics. IEEE Trans. Cybern. 46(8), 1926–1938 (2016)

    Article  Google Scholar 

  27. Zhang, C.M., Tang, G.Y., Liang, Y.J.: Vibration control for the offshore platforms with delayed control under irregular wave forces. In: Control and Decision Conference, pp. 1981–1984. IEEE (2010)

  28. Xia, Y., Chen, J., Liu, G., et al.: Robust adaptive sliding mode control for uncertain time-delay systems. In: American Control Conference, pp. 863–881. IEEE (2006)

  29. Li, J., Wang, H., Dong, X., et al.: Robust adaptive sliding-mode control for a class of nonlinear uncertain time-delay systems. In: 2010 IEEE International Conference on Intelligent Computing and Intelligent Systems (ICIS), pp. 639–643. IEEE (2010)

  30. Xia, Y., Zhu, Z., Li, C., et al.: Robust sliding mode control for uncertain discrete-time systems with time delay. IET Control Theory Appl. 4(4), 613–624 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  31. Zhao, D., Ding, F., Zhou, L., et al.: Robust H∞ control of neutral system with time-delay for dynamic positioning ships. Math. Probl. Eng. 2015, 1–11 (2015)

    MathSciNet  Google Scholar 

  32. Fossen, T.I.: Handbook of Marine Craft Hydrodynamics and Motion Control. Wiley, New York (2011)

    Book  Google Scholar 

  33. Chen, W., Jiao, L., Li, R., et al.: Adaptive backstepping fuzzy control for nonlinearly parameterized systems with periodic disturbances. IEEE Trans. Fuzzy Syst. 18(4), 674–685 (2010)

    Article  Google Scholar 

  34. Wang, N., Qian, C., Sun, J.C., et al.: Adaptive robust finite-time trajectory tracking control of fully actuated marine surface vehicles. IEEE Trans. Control Syst. Technol. 24(4), 1454–1462 (2016)

    Article  Google Scholar 

  35. Wang, N., Er, M.J., Sun, J.C., et al.: Adaptive robust online constructive fuzzy control of a complex surface vehicle system. IEEE Trans. Cybern. 46(7), 1511–1523 (2016)

    Article  Google Scholar 

  36. Bian, X., Fu, M., Wang, Y.: Ship Dynamic Positioning, pp. 58–75. Science Press, Beijing (2011)

    Google Scholar 

  37. Jia, X., Yang, Y.: Ship Motion’s Mathematical Modelling: Mechanism Modelling and Identification Modeling, pp. 338–353. Daliann Maritime University Press, Dalian (1999)

    Google Scholar 

  38. Nguyen, T.D., Sørensen, A.J., Quek, S.T.: Design of hybrid controller for dynamic positioning from calm to extreme sea conditions. Automatica 43(5), 768–785 (2007)

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Jingjing Xue.

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Xia, G., Xue, J. & Jiao, J. Dynamic Positioning Control System with Input Time-Delay Using Fuzzy Approximation Approach. Int. J. Fuzzy Syst. 20, 630–639 (2018). https://doi.org/10.1007/s40815-017-0372-4

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  • DOI: https://doi.org/10.1007/s40815-017-0372-4

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