Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Calibration Curves: Linear Least Squares01:20

Calibration Curves: Linear Least Squares

4.0K
A calibration curve is a plot of the instrument's response against a series of known concentrations of a substance. This curve is used to set the instrument response levels, using the substance and its concentrations as standards. Alternatively, or additionally, an equation is fitted to the calibration curve plot and subsequently used to calculate the unknown concentrations of other samples reliably.
For data that follow a straight line, the standard method for fitting is the linear...
4.0K
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

316
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
316
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

295
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
295
Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

658
Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
Here, in order to determine the magnitude of velocity and acceleration for point...
658
Relative Motion Analysis using Rotating Axes01:25

Relative Motion Analysis using Rotating Axes

829
Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame.
However, to express the relative position of point B relative to point A, an additional frame of reference, denoted as x'y', is necessary. This additional frame not only translates but also rotates relative to the fixed frame, making it...
829
PI Controller: Design01:24

PI Controller: Design

1.1K
Proportional Integral (PI) controllers are a fundamental component in modern control systems, widely used to enhance performance and mitigate steady-state errors. They are particularly effective in applications such as automatic brightness adjustment on smartphones, where they excel at mitigating steady-state errors for step-function inputs. Unlike PD controllers, which require time-varying errors to function optimally, PI controllers leverage their integral component to address residual...
1.1K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Genetic and environmental influences on serum lipid tracking: a population-based, longitudinal Chinese twin study.

Pediatric research·2010
Same author

The common rs9939609 variant of the fat mass and obesity-associated gene is associated with obesity risk in children and adolescents of Beijing, China.

BMC medical genetics·2010
Same author

Identification and evaluation of apoptotic compounds from Garcinia paucinervis.

Bioorganic & medicinal chemistry·2010
Same author

Elevated phosphatidylinositol 3,4,5-trisphosphate in glia triggers cell-autonomous membrane wrapping and myelination.

The Journal of neuroscience : the official journal of the Society for Neuroscience·2010
Same author

Detection of cytokeratin 19, human mammaglobin, and carcinoembryonic antigen-positive circulating tumor cells by three-marker reverse transcription-PCR assay and its relation to clinical outcome in early breast cancer.

The International journal of biological markers·2010
Same author

CXCR4 gene transfer contributes to in vivo reendothelialization capacity of endothelial progenitor cells.

Cardiovascular research·2010

Related Experiment Video

Updated: Jan 1, 2026

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
06:45

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator

Published on: October 28, 2022

2.1K

An Improved SINS Alignment Method Based on Adaptive Cubature Kalman Filter.

Yonggang Zhang1, Geng Xu1, Xin Liu1

  • 1Department of Automation, Harbin Engineering University, Harbin 150001, China.

Sensors (Basel, Switzerland)
|December 19, 2019
PubMed
Summary

This paper introduces a new method to improve the starting accuracy of inertial navigation systems. By using an adaptive filter, the system can better handle unpredictable noise and large initial errors, leading to more reliable navigation performance in real-world conditions.

Keywords:
adaptive Kalman filtercubature Kalman filterinitial alignmentvariational Bayesian methodvariational Bayesian inferenceattitude estimationsensor noise covariancenavigation accuracy

Frequently Asked Questions

More Related Videos

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
09:01

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques

Published on: April 4, 2017

9.0K
Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters
15:25

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters

Published on: February 4, 2018

6.5K

Related Experiment Videos

Last Updated: Jan 1, 2026

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
06:45

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator

Published on: October 28, 2022

2.1K
Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
09:01

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques

Published on: April 4, 2017

9.0K
Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters
15:25

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters

Published on: February 4, 2018

6.5K

Area of Science:

  • Inertial navigation system alignment research within aerospace engineering
  • Advanced Adaptive Cubature Kalman Filter signal processing applications

Background:

Precise starting orientation remains a significant challenge for inertial navigation systems. Accurate initial attitude determination between reference and body frames is necessary for reliable performance. Conventional estimation techniques often rely on fixed noise parameters to maintain precision. However, real-world environments frequently introduce unpredictable noise due to carrier movement or external interference. This uncertainty degrades the performance of standard filtering approaches. No prior work had resolved the difficulty of maintaining high accuracy under these fluctuating conditions. That uncertainty drove the development of more robust estimation strategies. This study addresses the limitations of existing methods when faced with variable noise covariance matrices.

Purpose Of The Study:

This paper aims to develop an improved alignment method for inertial navigation systems using an adaptive cubature Kalman filter. The researchers seek to overcome the limitations of conventional filters that require precise, fixed noise parameters. Practical environments often introduce unpredictable noise due to carrier motion and external interference. This variability makes it difficult for standard systems to maintain high estimation accuracy. The authors propose that their adaptive approach can solve the problem of uncertain noise covariance matrices. Additionally, they address the challenge of achieving convergence when starting with a large initial misalignment angle. This study is motivated by the need for more robust navigation solutions in real-world settings. The researchers intend to demonstrate that their integrated estimation strategy provides superior performance over existing techniques.

Main Methods:

The authors designed a novel alignment strategy using a non-linear filtering framework. Their approach incorporates variational Bayesian inference to manage parameter uncertainty. This design allows for the simultaneous estimation of states and noise matrices. The team implemented the algorithm to handle large initial orientation errors. They conducted extensive computer simulations to validate the mathematical model. Furthermore, they performed physical vehicle experiments to test the method under realistic conditions. This review approach focuses on comparing the new algorithm against standard linear filtering techniques. The researchers evaluated the performance by analyzing the convergence speed and final estimation accuracy.

Main Results:

The proposed method achieves higher alignment accuracy than traditional filtering approaches in all tested scenarios. Simulation results confirm that the adaptive filter effectively manages uncertain noise covariance matrices during operation. The vehicle experiments demonstrate that the system maintains stability even with large initial misalignment angles. By integrating variational Bayesian inference, the filter successfully updates the measurement noise parameters in real-time. This dynamic adjustment leads to a significant reduction in attitude estimation errors. The findings indicate that the new approach outperforms existing methods that rely on fixed noise assumptions. Data from the trials show consistent improvements in navigation reliability across various motion profiles. The results provide strong evidence for the effectiveness of the adaptive estimation framework.

Conclusions:

The authors demonstrate that their adaptive approach successfully estimates system states alongside noise parameters. This integration allows for better handling of unpredictable environmental disturbances during the alignment process. The proposed method shows improved accuracy compared to traditional filtering techniques. These findings suggest that variational Bayesian methods offer a viable path for enhancing navigation reliability. The researchers confirm that their technique performs well under conditions of large initial misalignment. This work provides a practical solution for navigation systems operating in dynamic settings. The results indicate that adaptive estimation is superior to static noise covariance assumptions. Future applications may benefit from this robust framework in various motion-based navigation tasks.

The researchers propose an adaptive cubature Kalman filter that utilizes variational Bayesian inference. This combination allows the system to simultaneously estimate the state, prediction error, and measurement noise, unlike standard Kalman filters which assume fixed noise parameters.

The variational Bayesian method serves as the core tool for this adaptive estimation. It enables the system to update its internal noise parameters dynamically, whereas traditional approaches rely on static matrices that often fail during carrier motion.

A large initial misalignment angle necessitates this improved approach because standard linear filters struggle with significant deviations. The authors propose that their non-linear filtering strategy is required to maintain convergence when starting from inaccurate initial conditions.

The measurement noise covariance matrix acts as a critical component that the filter updates in real-time. While standard methods treat this as a constant, the authors demonstrate that dynamic adjustment is necessary for maintaining accuracy in practical environments.

The researchers measured the alignment accuracy through both computer simulations and physical vehicle experiments. These tests compared the proposed adaptive filter against existing methods, showing that the new approach consistently achieves lower estimation errors.

The authors claim that their method provides a robust solution for inertial navigation in real-life practical environments. They suggest that this approach effectively mitigates errors induced by external disturbances and carrier movement that typically degrade standard systems.