Abstract
This paper presents a robust fuzzy controller design approach for dynamic positioning (DP) system of ships using optimal H ∞ control techniques. The H ∞ control technique is used to exterminate the effects of environmental disturbances. Firstly, a Takagi-Sugeno (TS) fuzzy model is applied to approximate the nonlinear DP system. Next, linear matrix inequality (LMI) and general eigenvalue problem (GEVP) methods are employed to find a positive definite matrix and controller gains. The stability of the controller is proven by using Lyapunov stability theorems. A positive definite matrix is determined by solving LMI equations using robust control toolbox available in MATLAB. The obtained positive definite matrix proves that the designed fuzzy controller is stable. Finally, a uniformly ultimately bound (UUB) and control performance for the dynamic position system is guaranteed. Simulation is carried out, and results are presented to validate the effectiveness and performance of the proposed control system.
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Recommended by Associate Editor Do Wan Kim under the direction of Editor Euntai Kim.
This work was supported in part by the Natural Science Foundation of China (51079013), in part by Applied Basic Research Program of Ministry of Transport of P. R. China (2012- 329-225-070).
Werneld Egno Ngongi was born on April, 1976 in Tanzania. Received the M.Sc. degree in Electronics Engineering (2008) and the B.Sc. degree in Electrical Engineering (2002) at the University of Dar es Salaam, Tanzania. He is working as assistant lecturer at Dar es Salaam Maritime Institute, Tanzania. Presently, he is a Ph.D. candidate in Control Theory and Control Engineering at the School of Information Science and Technology, Dalian Maritime University, Dalian, China. His research interests include intelligent control design, nonlinear control design, ship position and motion control.
Jialu Du was born in Liaoning Province, P. R. China, in 1966. She received her Ph.D. degree from Dalian Maritime University, China, in 2005. She was a visiting scholar in Norwegian University of Science and Technology from 2006 to 2007 and in University of California, San Diego from 2012 to 2013, respectively. Currently she is a professor at the School of Information Science and Technology, Dalian Maritime University, China. Her current research interests include nonlinear control theory, intelligent control, and ship motion control.
Rui Wang was born in Shandong Province, P. R. China, in 1990. He received his B.Sc. degree from Shandong University of Technology, China in 2012. Now he is working as a master student at the Department of Information Science and Technology, Dalian Maritime University, China. His current research interests include model prediction control, ship motion control.
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Ngongi, W.E., Du, J. & Wang, R. Robust fuzzy controller design for dynamic positioning system of ships. Int. J. Control Autom. Syst. 13, 1294–1305 (2015). https://doi.org/10.1007/s12555-014-0239-5
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DOI: https://doi.org/10.1007/s12555-014-0239-5