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A Novel Control Algorithm for Interaction Between Surface Waves and A Permeable Floating Structure
Authors:Pei-Wei TSAI  A ALSAEDI  T HAYAT and Cheng-Wu CHEN
Institution:College of Information Science and Engineering, Fujian University of Technology, Fuzhou 350118, China;Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, King Abdulaziz University, Jeddah 21589, Saudi Arabia;Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan;Department of Maritime Information and Technology, National Kaohsiung Marine University, Kaohsiung 80543, China
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.
Keywords:fuzzy Lyapunov function  Takagi?Sugeno form  swarm intelligence algorithm
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