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Reduction of state vector size in dynamic positioning simulation of supply vessel using a nonlinear extension of Kalman Filter

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Abstract Having a reliable and fast estimation of states regardless of prior knowledge about environmental conditions is a major goal to be achieved in application of Dynamic Positioning (DP). One… Click to show full abstract

Abstract Having a reliable and fast estimation of states regardless of prior knowledge about environmental conditions is a major goal to be achieved in application of Dynamic Positioning (DP). One way to have a faster estimation is to reduce state size which is studied in this research. The reduced elements belong to Wave Frequency (WF) model of estimation. Implemented estimation method is a new robust nonlinear extension of Kalman Filter called Square-Root Unscented Kalman Filter (SRUKF). Station-Keeping (SK) as one of the most common DP operations for supply vessels is considered as a case study in this research. Wind, wave and ocean current are considered as disturbing environmental loading. Computational efficiency and accuracy of 9 elements model is studied and compared with 15 elements counterpart in different sea Beaufort numbers (BN). Results show that in average 9 elements model is 37% faster than 15 elements model. However 15 elements model is generally more accurate, particularly in WF elements. The final results show that by assuming proper bounds for state Root-Mean Square Error (RMSE), using 9 elements model for BNs below 6 is a better choice.

Keywords: elements model; kalman filter; dynamic positioning; state

Journal Title: Ocean Engineering
Year Published: 2019

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