Abstract
An analytical solution is undertaken to describe the wave-induced flow field and the surge motion of a permeable platform structure with fuzzy controllers in an oceanic environment. In the design procedure of the controller, a parallel distributed compensation (PDC) scheme is utilized to construct a global fuzzy logic controller by blending all local state feedback controllers. A stability analysis is carried out for a real structure system by using Lyapunov method. The corresponding boundary value problems are then incorporated into scattering and radiation problems. They are analytically solved, based on separation of variables, to obtain series solutions in terms of the harmonic incident wave motion and surge motion. The dependence of the wave-induced flow field and its resonant frequency on wave characteristics and structure properties including platform width, thickness and mass has been thus drawn with a parametric approach. From which mathematical models are applied for the wave-induced displacement of the surge motion. A nonlinearly inverted pendulum system is employed to demonstrate that the controller tuned by swarm intelligence method can not only stabilize the nonlinear system, but has the robustness against external disturbance.
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References
Braae, M. and Rutherford, D. A., 1979. Theoretical and linguistic aspects of the fuzzy logic controller, Automatica, 15(5): 553–577.
Chang, S. S. L. and Zadeh, L. A., 1972. On fuzzy mapping and control, IEEE Trans. Syst., Man Cybern., SMC-2(1): 30–34.
Chiang, W. L., Chen, C. W. and Hsiao, F. H., 2004. Stability analysis of nonlinear interconnected systems via T-S fuzzy models, Int. J. Comp. Intel. App., 4(1): 41–55.
Chu, S. C. and Tsai, P. W., 2007. Computational intelligence based on behaviors of cats, International Journal of Innovative Computing, Information and Control, 3(1): 163–173.
Chu, S. C., Tsai, P. W. and Pan, J. S., 2006. Cat swarm optimization, Proceedings of Trends in Artificial Intelligence, 9th Pacific Rim International Conference on Artificial Intelligence, Guilin, China, 854–858.
Harms, V. W., 1979. Design criteria for floating tire breakwaters, J. Waterw. Port Coast. Ocean Div., ASCE, 105(2): 149–170.
Kickert, W. J. M. and Mamdani, E. H., 1978. Analysis of a fuzzy logic controller, Fuzzy Sets Syst., 1(1): 29–44.
Lee, C. P. and Lee, J. F., 1991. Interaction between waves and tension leg platform, Engineering Mechanics Conference on Mechanics Computing in 1990’s and Beyond, ASCE, Columbus, Ohio, USA.
Lee, C. P. and Lee, J. F., 1993. Wave-induced surge motion of a tension leg structure, Ocean Eng., 20(2): 171–186.
Lee, C. P., 1987. Wave Interaction with Permeable Structures, Ph. D. Thesis, Civil Engineering Department, Oregon State University, Corvallis, Oregon, USA.
Lee, H. H. and Wang, W. S., 2001. Analytical solution on the dragged surge vibration of tension leg platforms with wave large body and small body multi-interactions, J. Sound Vib., 248(3): 533–556.
Lee, H. H. and Wang, W. S., 2003. On the dragged surge vibration of twin TLP systems with multi-interactions of wave and structures, J. Sound Vib., 263(4): 743–774.
Liu, S. C. and Lin, S. F., 2012. LMI-based robust sliding control for mismatched uncertain nonlinear systems using fuzzy models, International Journal of Robust and Nonlinear Control, 22(16): 1827–1836.
Liu, S. C. and Lin, S. F., 2013. Robust sliding control for mismatched uncertain fuzzy time-delay systems using linear matrix inequality approach, Journal of the Chinese Institute of Engineers, 36(5): 589–597.
Lu, L. T., Chiang, W. L. and Tang, J. P., 1998. LQG/LTR control methodology in active structure control, J. Eng. Mech., ASCE, 124(4): 446–454.
Mei, C. C., 1978. Numerical methods in water wave diffraction and radiation, Ann. Rev. Fluid Mech., 10(1): 393–416.
Takagi, T. and Sugeno, M., 1985. Fuzzy identification of systems and its applications to modeling and control, IEEE Trans. Syst., Man Cybern., SMC-15(1): 116–132.
Tanaka, K. and Wang, H. O., 2001. Fuzzy Control Systems Design and Analysis, John Wiley & Sons. Inc., New York.
Tsai, P. W., Pan, J. S., Liao, B. Y. and Chu, S. C., 2009. Enhanced artificial bee colony optimization, International Journal of Innovative Computing, Information and Control, 5(12): 5081–5092.
Tsai, P. W., Pan, J. S., Liao, B. Y., Tsai, M. J. and Istanda, V., 2012. Bat algorithm inspired algorithm for solving numerical optimization problems, Appl. Mech. Mater., 148, 134–137.
Yamamoto, T., Yoshida, A. and Ijima, T., 1982. Dynamics of elastically moored floating objects, in: Dynamic Analysis of Offshore Structures, Kirk, C.L. (ed.), 106–113. CML, Southampton.
Yeh, K., Chen, C. Y. and Chen, C. W., 2008. Robustness design of time-delay fuzzy systems using fuzzy Lyapunov method, Appl. Math. Comput., 205(2): 568–577.
Zadeh, L. A., 1965. Fuzzy sets, Inform. Control, 8(3): 338–353.
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This paper was financially supported by the Key Project in Fujian Provincial Education Bureau (Grant No. JA15323).
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Tsai, PW., Alsaedi, A., Hayat, T. et al. A novel control algorithm for interaction between surface waves and a permeable floating structure. China Ocean Eng 30, 161–176 (2016). https://doi.org/10.1007/s13344-016-0009-7
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DOI: https://doi.org/10.1007/s13344-016-0009-7