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Learning-based Attitude Estimation with Noisy Measurements and Unknown Gyro Bias (2401.13092v2)
Published 23 Jan 2024 in math.OC
Abstract: This paper introduces a learning-based, data-driven attitude estimator, called the retrospective cost attitude estimator (RCAE), for the SO(3) attitude representation. RCAE is motivated by the multiplicative extended Kalman filter (MEKF). However, unlike MEKF, which requires computing a Jacobian to compute the correction signal, RCAC uses retrospective cost optimization that depends only on the measured data. Moreover, due to the structure of the correction signal, RCAE does not require explicit estimation of gyro bias. The performance of RCAE is verified and compared with MEKF through both numerical simulations and physical experiments.
- “An Introduction to Inertial Navigation From the Perspective of State Estimation [Focus on Education]” In IEEE Control Systems Magazine 41.5 IEEE, 2021, pp. 104–128
- Stergios I Roumeliotis, Gaurav S Sukhatme and George A Bekey “Smoother based 3D attitude estimation for mobile robot localization” In Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No. 99CH36288C) 3, 1999, pp. 1979–1986 IEEE
- “A multi-perspective 3D reconstruction method with single perspective instantaneous target attitude estimation” In Remote Sensing 11.11 MDPI, 2019, pp. 1277
- Dan Simon “Optimal state estimation: Kalman, H infinity, and nonlinear approaches” John Wiley & Sons, 2006
- “Bayesian filtering and smoothing” Cambridge university press, 2023
- N Jeremy Kasdin and Derek A Paley “Engineering Dynamics: A Comprehensive Introduction” Princeton University Press, 2011
- Ern J Lefferts, F Landis Markley and Malcolm D Shuster “Kalman filtering for spacecraft attitude estimation” In Journal of Guidance, control, and Dynamics 5.5, 1982, pp. 417–429
- John L Crassidis, F Landis Markley and Yang Cheng “Survey of nonlinear attitude estimation methods” In Journal of guidance, control, and dynamics 30.1, 2007, pp. 12–28
- F Landis Markley “Attitude error representations for Kalman filtering” In Journal of guidance, control, and dynamics 26.2, 2003, pp. 311–317
- F Landis Markley “Attitude filtering on SO (3)” In The Journal of the Astronautical Sciences 54.3-4 Springer, 2006, pp. 391–413
- NA Chatuverdi, Amit K Sanyal and N Haris McClamroch “Rigid-body attitude control using rotation matrices for continuous, singularity-free control laws” In IEEE Control Systems Magazine 31.8, 2011, pp. 30–51
- Anton HJ Ruiter “SO (3)-constrained Kalman filtering with application to attitude estimation” In 2014 American Control Conference, 2014, pp. 4937–4942 IEEE
- Mario A Santillo and Dennis S Bernstein “Adaptive control based on retrospective cost optimization” In Journal of guidance, control, and dynamics 33.2, 2010, pp. 289–304
- “An adaptive pid autotuner for multicopters with experimental results” In 2022 International Conference on Robotics and Automation (ICRA), 2022, pp. 7846–7853 IEEE
- “Experimental implementation of an adaptive digital autopilot” In 2021 American Control Conference (ACC), 2021, pp. 3737–3742 IEEE
- Ankit Goel, Karthik Duraisamy and Dennis S Bernstein “Retrospective cost adaptive control of unstart in a model scramjet combustor” In AIAA Journal 56.3 American Institute of AeronauticsAstronautics, 2018, pp. 1085–1096
- Juan A Paredes and Dennis S Bernstein “Experimental Implementation of Retrospective Cost Adaptive Control for Suppressing Thermoacoustic Oscillations in a Rijke Tube” In IEEE Transactions on Control Systems Technology IEEE, 2023
- “Learning-based Adaptive Thrust Regulation of Solid Fuel Ramjet” In AIAA SCITECH 2023 Forum, 2023, pp. 2533
- “Learning-based Adaptive Gust Mitigation with Oscillating Wings” In AIAA SCITECH 2023 Forum, 2023, pp. 0275
- Ernst Hairer, Christian Lubich and Gerhard Wanner “Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations” Springer, 2006
- “Rigid body dynamics in terms of quaternions: Hamiltonian formulation and conserving numerical integration” In Int. J. Num. Meth. Eng. 79.4, 2009, pp. 444–473
- F Zhao and BGM Van Wachem “A novel Quaternion integration approach for describing the behaviour of non-spherical particles” In Acta Mechanica 224.12 Springer, 2013, pp. 3091–3109
- Sigrid Leyendecker, Jerrold E Marsden and Michael Ortiz “Variational integrators for constrained dynamical systems” In ZAMM-J. Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik: Applied Mathematics and Mechanics 88.9 Wiley, 2008, pp. 677–708
- Angelo M Sabatini “Quaternion-based strap-down integration method for applications of inertial sensing to gait analysis” In Medical and Biological Eng. and Computing 43.1 Springer, 2005, pp. 94–101
- Stephen A Whitmore “Closed-form Integrator for the Quaternion (Euler Angle) Kinematics Equations” US Patent 6,061,611 Google Patents, 2000
- “Vision based uav attitude estimation: Progress and insights” In Journal of Intelligent & Robotic Systems 65 Springer, 2012, pp. 295–308
- “A vision based system for attitude estimation of UAVs” In 2009 IEEE/RSJ International Conference on Intelligent Robots and Systems, 2009, pp. 5725–5730 IEEE
- “Vision-based attitude estimation for indoor navigation using vanishing points and lines” In IEEE/ION Position, Location and Navigation Symposium, 2010, pp. 310–318 IEEE
- Yousaf Rahman, Antai Xie and Dennis S. Bernstein “Retrospective Cost Adaptive Control: Pole Placement, Frequency Response, and Connections with LQG Control” In IEEE Control System Magazine 37, 2017, pp. 28–69 DOI: 10.1109/MCS.2017.2718825
- “Adaptive digital PID control of first-order-lag-plus-dead-time dynamics with sensor, actuator, and feedback nonlinearities” In Advanced Control for Applications 1.1, 2019, pp. e20 DOI: 10.1002/adc2.20
- A. Goel, S.A. U. Islam and D.S. Bernstein “Adaptive Control of MIMO Systems Using Sparsely Parameterized Controllers” In 2020 American Control Conference (ACC), 2020, pp. 5340–5345 DOI: 10.23919/ACC45564.2020.9147513
- “Recursive Least Squares for Real-Time Implementation” In IEEE Control Systems Magazine 39.3, 2019, pp. 82–85 DOI: 10.1109/MCS.2019.2900788
- Ankit Goel, Adam L Bruce and Dennis S Bernstein “Recursive least squares with variable-direction forgetting: Compensating for the loss of persistency [lecture notes]” In IEEE Control Systems Magazine 40.4 IEEE, 2020, pp. 80–102
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