A Novel Alignment Method for SINS with Large Misalignment Angles Based on EKF2 and AFIS.
Yanming Zhao1, Gongmin Yan1, Yongyuan Qin1
1School of Automation, Northwestern Polytechnical University, Xi'an 710129, China.
Sensors (Basel, Switzerland)
|October 27, 2020
Summary
This study introduces a new filtering alignment method for strapdown inertial navigation systems (SINS) using the second-order extended Kalman filter (EKF2) and adaptive fuzzy inference system (AFIS) for improved accuracy with large initial misalignment angles.
Area of Science:
- Navigation Systems Engineering
- Control Theory
- Signal Processing
Background:
- Strapdown inertial navigation systems (SINS) require precise initial alignment, which is challenging under large initial misalignment angles.
- Traditional alignment methods struggle with convergence and accuracy when initial attitude errors are significant.
Purpose of the Study:
- To propose a novel filtering alignment method for SINS that effectively handles large initial misalignment angles.
- To enhance the accuracy and convergence speed of SINS alignment using advanced filtering techniques.
Main Methods:
- A second-order nonlinear state equation is formulated using quaternion representation for attitude errors and incorporating nonlinear velocity and attitude error models.
- A linear measurement equation is derived from SINS velocity outputs.
- A filtering scheme is designed by integrating the second-order extended Kalman filter (EKF2) with an adaptive fuzzy inference system (AFIS) to adjust the covariance matrix Pk/k-1.
Main Results:
- Monte Carlo simulations demonstrate rapid convergence of pitch, roll, and yaw misalignment errors to approximately 14″, 15″, and 7.62' within 350 seconds, even with initial errors ranging from -40° to 40° (pitch/roll) and -50° to 50° (yaw).
- The method shows robust convergence even with extremely large initial misalignment angles (e.g., 80°, 120°, 170°), attributed to the AFIS's adaptive covariance matrix adjustment.
- Turntable experiments validated the proposed method's effectiveness and superiority over other nonlinear alignment techniques.
Conclusions:
- The proposed EKF2 and AFIS-based filtering alignment method offers a robust and accurate solution for SINS alignment under significant initial misalignment conditions.
- The adaptive capability of the fuzzy inference system is crucial for maintaining convergence and accuracy in challenging alignment scenarios.
- This advanced alignment technique holds significant promise for improving the performance of navigation systems in various applications.
Related Concept Videos
Unsymmetric Bending - Angle of Neutral Axis
718
Unsymmetrical bending occurs when a structural member is subjected to bending moments in a plane that does not align with the member's principal axes. This scenario typically arises in beams and other structural components when loads are applied at non-ideal angles, introducing complexities in stress analysis.
When a bending moment is applied at an angle θ concerning the vertical axis of a symmetrical member, it can be resolved into components along the member's principal...
When a bending moment is applied at an angle θ concerning the vertical axis of a symmetrical member, it can be resolved into components along the member's principal...
718
Angle of Twist: Problem Solving
609
An electric motor applies a torque of 700 N·m to an aluminum shaft, triggering a stable rotation. Two pulleys, B and C, are subjected to torques of 300 N·m and 400 N·m, respectively. The modulus of rigidity is provided as 25 GPa. With the knowledge of the length and diameter of each segment, the twist angle between the two pulleys can be computed. First, a section cut is made between pulleys B and C, and the cut cross-section is analyzed using a free-body diagram. Given that the torque...
609
Deflection of a Beam
535
Accurately determining beam deflection and slope under various loading conditions in structural engineering is crucial for ensuring safety and structural integrity. Singularity functions offer a streamlined approach to analyzing beams, especially when multiple loading functions complicate the bending moment equation.
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
535


