Modeling, control, and stability analysis for time-delay TLP systems using the fuzzy Lyapunov method

• Published in: Neural computing & applications 2011-06, Vol.20 (4), p.527-534
• Main Author: Chen, Cheng-Wu
• Format: Article
• Language: English
• Subjects: Applied sciences; Artificial Intelligence; Combinatorics; Combinatorics. Ordered structures; Computational Biology/Bioinformatics; Computational Science and Engineering; Computer Science; Computer science; control theory; systems; Data Mining and Knowledge Discovery; Designs and configurations; Exact sciences and technology; Experimental design; General logic; Image Processing and Computer Vision; Learning and adaptive systems; Logic and foundations; Mathematical logic, foundations, set theory; Mathematics; Original Article; Probability and statistics; Probability and Statistics in Computer Science; Sciences and techniques of general use; Statistics
• ISSN: 0941-0643; 1433-3058
• DOI: 10.1007/s00521-011-0576-8

In this study, we present a Takagi–Sugeno (T–S) fuzzy model for the modeling and stability analysis of oceanic structures. We design a nonlinear fuzzy controller based on a parallel distributed compensation (PDC) scheme and reformulate the controller design problem as a linear matrix inequalities (LMI) problem as derived from the fuzzy Lyapunov theory. The robustness design technique is adopted so as to overcome the modeling errors for nonlinear time-delay systems subject to external oceanic waves. The vibration of the oceanic structure, i.e., the mechanical motion caused by the force of the waves, is discussed analytically based on fuzzy logic theory and a mathematical framework. The end result is decay in the amplitude of the surge motion affecting the time-delay tension leg platform (TLP) system. The feedback gain of the fuzzy controller needed to stabilize the TLP system can be found using the Matlab LMI toolbox. This proposed method of fuzzy control is applicable to practical TLP systems. The simulation results show that not only can the proposed method stabilize the systems but that the controller design is also simplified. The effects of the amplitude damping of the surge motion on the structural response are obvious and work as expected due to the control force.