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- Publisher
- World Academic Publishing Co.
- Copyright
- Copyright © 2014, THE WORLD ACADEMIC PUBLISHING CO. LIMITED
- ISSN
- 2306-7675
- eISSN
- 2306-7667
Abstract
In this paper we propose a linear matrix inequality (LMI) based fuzzy control system design for dynamic positioning (DP) system of surface ships. The stability conditions satisfying decay rate using relaxed stability conditions and theory of parallel distributed compensation (PDC) are used. The nonlinear DP system is firstly transformed into Takagi-Sugeno (T-S) fuzzy model. Then the PDC is employed to design the fuzzy control system from the T-S fuzzy model. The stability analysis used in this paper is reduced to a problem of finding a common Lyapunov function for the set of LMIs. The convex optimization method involving LMIs is applied to find a common Lyapunov function and stable feedback gains which satisfy the decay rate. Then the resulting fuzzy control system is simulated using ship parameters provided and results are analysed. Simulation results obtained show the validity of the proposed fuzzy control technique.
Journal
Advanced Shipping and Ocean Engineering – World Academic Publishing Co.
Published: Dec 30, 2013