Rico贾若童的博客

Robotics - IMU Pre-integration Optimization Implementation

IMU Pre-Integration, GNSS, UTM

G2O Recap - What’s An Edge A single edge is a “difference” between two conceptual entities. The entities are conceptual because they don’t need to map exactly to your implementation. For example, ...

Posted by Rico's Nerd Cluster on April 1, 2024

ROS Infrastructure Notes

A Running List of ROS Infrastructure I found Useful

ROS Actions The ROS Action really is a mechanism that keeps track of the exeuction state of a task. ROS Actions are built on top of ROS topics. Lifetime of ROS Actions Pending : The goal...

Posted by Rico's Nerd Cluster on April 1, 2024

Robotics - IMU Pre-integration Model

Pre-Integration Model

Motivation In previous posts, we have seen the ESKF framework, where IMU data is fused with observations (GNSS, encoders) following this incremenetal order: 1 ESKF Prediction with IMU | ESKF Pred...

Posted by Rico's Nerd Cluster on March 24, 2024

Robotics - [ESKF Series 5] Why Using Error-State Kalman Filter (ESKF) For IMU

ESKF, GINS

ESKF Handles Rotations on SO(3) Better Key issue: Rotations lie on the special orthogonal group SO(3), which is a nonlinear manifold (not a simple vector space like position). A standard EKF typic...

Posted by Rico's Nerd Cluster on March 24, 2024

Robotics - [ESKF Series 4] Full Error-State Kalman Filter (ESKF) in GNSS-Inertial Navigation System (GINS)

ESKF, GINS

If you haven’t checked out a motivational 2D robot example of ESKF, please check here. In this post, $\oplus$ is the “generic add”, which “adds” on a manifold. ESKF (On Manifold) in GINS (GPS-Int...

Posted by Rico's Nerd Cluster on March 24, 2024

Robotics - [ESKF Series 3] Motivational Example Of Error-State Kalman Filter (ESKF)

ESKF

Motivating Example We use the same example as the one in the EKF post: imagine our world has two cones with known locations: c1, c2, and a diff drive with wheel encoders and a cone detector. T...

Posted by Rico's Nerd Cluster on March 24, 2024

Robotics - [ESKF Series 1] IMU Model

Specific Force, IMU model

Introduction The IMU is a very common localization device. One can find it in most electronics nowadays: cars, smart watches, phones, even soccer balls. Knowing how IMU works could be a long proce...

Posted by Rico's Nerd Cluster on March 22, 2024

Robotics Fundamentals - Extended Kalman Filter (EKF)

Kalman Filter Framework

Welcome To EKF - A Diff Drive Example EKF (Extended Kalman Filter) is widely applied in robotics to smooth sensor noises to get a better estimate of a car’s position. Now let’s take a look at a d...

Posted by Rico's Nerd Cluster on March 15, 2024

Robotics Fundamentals - Kalman Filter

Kalman Filter Framework, Proofs With Minimizing Error Covariance

Kalman Filter FrameWork - Welcome to KF SLAM is a state estimation problem. A typical state estimation framework in discrete time is: \[\begin{gather*} \begin{cases} x_k = f(x_{k-1}, u_k) + ...

Posted by Rico's Nerd Cluster on March 15, 2024

Robotics - An Overview Of Kalman Filter, Extended Kalman Filter, and Error State Kalman Filter

[1] What Does A Kalman Filter Do? If a system is a linear system, with Gaussian measurement and control noise, the Kalman Filter (KF) produces the minimum-covariance (i.e., the mean squared error)...

Posted by Rico's Nerd Cluster on March 15, 2024

Rico's Nerd Cluster

Robotics - IMU Pre-integration Optimization Implementation

IMU Pre-Integration, GNSS, UTM

ROS Infrastructure Notes

A Running List of ROS Infrastructure I found Useful

Robotics - IMU Pre-integration Model

Pre-Integration Model

Robotics - [ESKF Series 5] Why Using Error-State Kalman Filter (ESKF) For IMU

ESKF, GINS

Robotics - [ESKF Series 4] Full Error-State Kalman Filter (ESKF) in GNSS-Inertial Navigation System (GINS)

ESKF, GINS

Robotics - [ESKF Series 3] Motivational Example Of Error-State Kalman Filter (ESKF)

ESKF

Robotics - [ESKF Series 1] IMU Model

Specific Force, IMU model

Robotics Fundamentals - Extended Kalman Filter (EKF)

Kalman Filter Framework

Robotics Fundamentals - Kalman Filter

Kalman Filter Framework, Proofs With Minimizing Error Covariance

Robotics - An Overview Of Kalman Filter, Extended Kalman Filter, and Error State Kalman Filter

FEATURED TAGS

ABOUT ME

FRIENDS