Document Type : Research Articles
Authors
Faculty of Electrical Engineering and Computer, University of Birjand, Iran
Abstract
In the field of mobile robot navigation, challenges such as nonlinear conditions, uncertainties, and the development of advanced methods have necessitated accurate position estimation. In this paper, fuzzy based adaptive unscented Kalman filter (FAUKF) is evaluted to enhance the state estimation performance for mobile robot localization. In proposed method, the FAUKF algorithm effectively removes the noise uncertainty by adaptively adjusting the covariance of the measurement noise according to the adaptation law. The output of the Mamdani Fuzzy Inference System (FIS) acts as an observer and improves the matching law. The results of this research show the accuracy of FAUKF algorithm position estimation compared to traditional UKF methods. Also, this study presents a pioneering navigation strategy for mobile robots, which integrates random tree routing algorithm with rapid exploration (RRT*) for optimal path design in indoor environments. The goal of RRT* integration is to create optimal routes taking into account safety and environmental constraints. By combining the Kalman filter prediction and updating steps, this method reduces the accumulation of uncertainty during the localization process and facilitates accurate localization and path planning towards the target.
The simulation results confirm the effectiveness of this method in keeping the uncertainty levels in localization constant over time. The presented adaptive method enables efficient navigation in complex environments. Path planning is a critical element in robotics applications and the RRT* based approach presented in this paper provides a comprehensive solution to create optimal and efficient paths.
Keywords
Main Subjects
[2] Y. Liu, S. Wang, Y. Xie, T. Xiong, and M. Wu, "A Review of Sensing Technologies for Indoor Autonomous Mobile Robots," Sensors, vol. 24, no. 4, p. 1222, Feb. 2024.
[3] Siegwart, R., I.R. Nourbakhsh, and D. Scaramuzza, Introduction to autonomous mobile robots. 2011: MIT press.
[4] Zheng, L., et al., Heading estimation for multimode pedestrian dead reckoning. IEEE Sensors Journal, 2020. 20(15): p. 8731-8739.
[5] Madray, I., et al., Relative angle correction for distance estimation using K-nearest neighbors. IEEE Sensors Journal, 2020. 20(14): p. 8155-8163.
[6] Guo, S., et al., An improved PDR/UWB integrated system for indoor navigation applications. IEEE Sensors Journal, 2020. 20(14): p. 8046-8061.
[7] Wang, X.-l., L.-q. Li, and W.-x. Xie, A novel TS fuzzy particle filtering algorithm based on fuzzy C-regression clustering. International Journal of Approximate Reasoning, 2020. 117: p. 81-95.
[8] A. H. Hassaballa, A. M. Kamel, I. Arafa, and Y. Z. Elhalwagy, "Adaptive Precise Attitude Estimation Using Unscented Kalman Filter in High Dynamics Environments," Unmanned Systems, vol. 12, no. 04, pp. 653–665, 2024.
[9] R. D. Puriyanto and A. K. Mustofa, "Design and Implementation of Fuzzy Logic for Obstacle Avoidance in Differential Drive Mobile Robot," Journal of Robotics and Control (JRC), vol. 5, no. 1, 2024.
[10] Shaheen, O., et al., Stable adaptive probabilistic Takagi–Sugeno–Kang fuzzy controller for dynamic systems with uncertainties. ISA transactions, 2020. 98: p. 271-283.
[11] Liu, Y. and D. Cui, Vehicle state estimation based on adaptive fading unscented kalman filter. Mathematical Problems in Engineering, 2022. 2022(1): p. 7355110.
[12] S. H. Hashemi and N. Pariza, "Adaptive Transformed Unscented Simplex Cubature Kalman Filter for Target Tracking," Automatika, vol. 62, no. 3, pp. 3279–3287, 2021.
[13] Al-sudany, H.N. and B. Lantos, Comparison of Adaptive Fuzzy EKF and Adaptive Fuzzy UKF for State Estimation of UAVs Using Sensor Fusion. Periodica Polytechnica Electrical Engineering and Computer Science, 2022. 66(3): p. 215-266.
[14] Sun, Z., et al., Multi-Risk-RRT: An Efficient Motion Planning Algorithm for Robotic Autonomous Luggage Trolley Collection at Airports. IEEE Transactions on Intelligent Vehicles, 2024.
[15] Ding, J., et al., An improved RRT* algorithm for robot path planning based on path expansion heuristic sampling. Journal of Computational Science, 2023. 67: p. 101937.
[16] Szabat, K., et al., A fuzzy unscented Kalman filter in the adaptive control system of a drive system with a flexible joint. Energies, 2020. 13(8): p. 2056.
[17] Fang, Y., et al., Adaptive Unscented Kalman Filter for Robot Navigation Problem (Adaptive Unscented Kalman Filter Using Incorporating Intuitionistic Fuzzy Logic for Concurrent Localization and Mapping). IEEE Access, 2022. 10: p. 101869-101879.
[18] V. E. Papageorgiou and G. Tsaklidis, "An improved epidemiological-unscented Kalman filter (hybrid SEIHCRDV-UKF) model for the prediction of COVID19: Application on real-time data," *Chaos*, vol. 2022, Article 112914, 2022.
[19] Kumar, M. and S. Mondal, A Fuzzy-based Adaptive Unscented Kalman Filter for State Estimation of Threedimensional Target Tracking. International Journal of Control, Automation and Systems, 2023. 21(11): p. 3804-3812.
[20] K. Feng, J. Wang, X. Wang, G. Wang, Q. Wang, and J. Han, "Adaptive state estimation and filtering for dynamic positioning ships under time-varying environmental disturbances," *Ocean Engineering*, vol. 2024, Article 117798, 2024.
[21] X. Cui, C. Wang, Y. Xiong, L. Mei, and S. Wu, "More Quickly-RRT*: Improved Quick Rapidly-exploring Random Tree Star algorithm based on optimized sampling point with better initial solution and convergence rate," Engineering Applications of Artificial Intelligence, vol. 108, p. 108246, 2024.
[22] Orthey, A., C. Chamzas, and L.E. Kavraki, Samplingbased motion planning: A comparative review. Annual Review of Control, Robotics, and Autonomous Systems, 2023. 7.
[23] Y. Lee, "Trajectory Manifold Optimization for Fast and Adaptive Kinodynamic Motion Planning," arXiv preprint arXiv:2410.12193, 2024.
[24] D. Debnath, F. Vanegas, J. Sandino, A. F. Hawary, and F. Gonzalez, “A Review of UAV Path-Planning Algorithms and Obstacle Avoidance Methods for Remote Sensing Applications,” *Remote Sens.*, vol. 16, no. 21, p. 4019, 2024.
[25] Szabat, K., et al., A fuzzy unscented Kalman filter in the adaptive control system of a drive system with a flexible joint. Energies, 2020. 13(8): p. 2056. [26] Woo, R., E.-J. Yang, and D.-W. Seo, A fuzzy-innovationbased adaptive Kalman filter for enhanced vehicle positioning in dense urban environments. Sensors, 2019. 19(5): p. 1142.
[27] Asl, R.M., et al., Fuzzy-based parameter optimization of adaptive unscented Kalman filter: Methodology and experimental validation. IEEE Access, 2020. 8: p. 54887-54904.
[28] J. C. R. Alcantud, A. Z. Khameneh, G. Santos-García, et al., "A systematic literature review of soft set theory," *Neural Comput. Appl.*, vol. 36, pp. 8951–8975, Jun. 2024.
[29] Matía, F., et al., The fuzzy Kalman filter: Improving its implementation by reformulating uncertainty representation. Fuzzy Sets and Systems, 2021. 402: p. 78-104.
[30] R. Havangi and M. Moradi, "PSO Based EKF Wheel-rail Adhesion Estimation," *Research Articles*, University of Birjand, doi: 10.22111/ieco.2023.43360.1446, in press.