Robust PI-based Data Fusion Approach for an INS/DVL Autonomous Underwater Positioning System

Document Type : Original Article

Authors

1 Department of Electrical Engineering, Salman University of Kazerun, Fars , Iran.

2 Department of Electrical Engineering, Islamic Azad University, Kazerun Branch, Fars, Iran.

10.66224/masm.5.2.234.
Abstract
The challenge of designing and implementing optimal data fusion methods that are both robust to uncertainties and simple enough for practical deployment has become a significant topic of interest in a wide range of navigation and positioning systems. In this study, inspired by the principles of Proportional-Integral-Derivative (PID) control theory and integrating them with the conventional structure of the standard Kalman filter, we propose a novel data fusion approach. This method is specifically designed to improve robustness against measurement uncertainties from the Doppler Velocity Log (DVL) sensor in an integrated marine navigation system based on INS/DVL. The proposed approach aims to enhance the system’s resilience without introducing excessive computational complexity. Simulation results demonstrate that the integrated navigation system using the proposed algorithm outperforms traditional Kalman filter-based systems in terms of accuracy and response time, particularly under conditions involving sensor errors or uncertainty. These findings highlight the potential of the method for real-world applications in marine navigation scenarios.

Keywords


[1] Noureldin A, Karamat TB, Georgy J. Fundamentals of inertial navigation, satellite-based positioning and their integration: Springer Science & Business Media, 2012.
[2] El-Sheimy N, Youssef A. Inertial sensors technologies for navigation applications: State of the art and future trends. Satellite Navigation. 2020;1:2.
[3] Hou L, Xu X, Yao Y, Wang D. An M-estimation-based improved interacting multiple model for INS/DVL navigation method. IEEE Sensors Journal. 2022;22:13375-86.
[4] Li S, Zhao Y, Chen Y, Ben Y, Wang Z. A Novel GPS-Aided Robust Calibration Method for SINS/DVL Integrated Navigation System. IEEE Sensors Journal. 2025.
[5] Hosseini SM, Jalili M, Meighani Nejad A. Design and construction of INS/GPS navigation system based on adaptive Kalman filter algorithm. Mechanic of Advanced and Smart Materials. 2024;3:537-59.
[6] Chui CK, Chen G. Kalman filter: An elementary approach.  Kalman Filtering: with Real-Time Applications: Springer; 2017. 19-31.
[7] Simon D. Kalman filtering, embedded systems programming. Embedded com article. 2001.
[8] Chen Y, He Y, Zhao Y, Li S, Yao W, Kayacan E. Seamless INS/DVL integrated navigation system via online transfer Gaussian process regression. IEEE Transactions on Instrumentation and Measurement. 2024.
[9] Du S, Zhu F, Wang Z, Huang Y, Zhang Y. A novel lie group framework-based student’s t robust filter and its application to INS/DVL tightly integrated navigation. IEEE Transactions on Instrumentation and Measurement. 2024;73:1-21.
[10] Ma X, Wei Z, Liu W, Wang S. Event-Triggered State Filter Estimation for INS/DVL Integrated Navigation with Correlated Noise and Outliers. Sensors. 2025;25:1545.
[11] Farhangian F, Landry Jr R. Accuracy improvement of attitude determination systems using EKF-based error prediction filter and PI controller. Sensors. 2020;20:4055.
[12] Rahgoshay MA, Karimaghaie P. Robust in‐field estimation and calibration approach for strapdown inertial navigation systems accelerometers bias acting on the vertical channel. IET Radar, Sonar & Navigation. 2020;14:407-14.
[13] Mallahi Kolahi P, nazemizadeh M, safari H. Position and Speed Control of the Tractor-Trailer Robot by Considering the Dynamics of the Tractor Wheels Using the PID Controller. Mechanic of Advanced and Smart Materials. 2023;3:53-66.
[14] Farhadi S, Sanjari Sarmad M. Design and weight optimization of a manned hybrid octocopter. Mechanic of Advanced and Smart Materials. 2024;4:425-48.
[15] Setoodeh P, Habibi S, Haykin S. Kalman filter. 2022.
[16] Rahgoshay MA, Karimaghaie P, Shabaninia F. Robust inertial frame-based alignment of fiber-optic gyro strapdown inertial navigation systems using a generalized proportional–integral–derivative filter. Optical Engineering. 2017;56:095102.
[17] Rahgoshay MA, Karimaghaie P, Shabaninia F. Initial alignment of fiber-optic inertial navigation system with large misalignment angles based on generalized proportional-integral-derivative filter. International Journal on Smart Sensing and Intelligent Systems. 2017;10:613.
[18] Aggarwal P, Syed Z, El-Sheimy N. MEMS-based integrated navigation: Artech House, 2010.
[19] Zhang W, Ghogho M, Yuan B. Mathematical model and matlab simulation of strapdown inertial navigation system. Modelling and Simulation in Engineering. 2012;2012:264537.
Volume 5, Issue 2
Summer 2025
Pages 234-250

  • Receive Date 16 July 2025
  • Revise Date 03 August 2025
  • Accept Date 01 September 2025