Abstract

Recently, a robotic percussive riveting system has been developed at Ryerson University for an automation of percussive riveting process of aero-structural fastening assembly. The system consists of a robot holding a percussive riveting gun equipped with a rivet feeder, a gantry holding a working panel of aero-structure, and a position visual sensor. Prior to riveting, the robot is required to first position and then insert a rivet precisely into a hole on the panel without engaging the panel to prevent potential damage. The underlying challenges to precise insertion are various sources of system uncertainties, mainly including alignment errors among coordinate systems of the robot, panel and sensor, and relatively poor absolute positioning accuracy of the robot due to mechanical deflection, assembly clearance, and machining tolerance. For this reason, the research of relative pose estimation between the robot and panel has been carried out pertaining to these challenges. Essentially, pose estimation is proposed for robotic percussive riveting, which estimates the relative pose between two rigid bodies based on noisy visual measurements of point features on rigid bodies. Three categories can be classified, namely, static, dynamic, and robust pose estimation. Firstly, static pose estimation is the parameter estimation of static relative pose transformations among a number of frames, which solves the issue of alignment errors. Direct solutions of static relative pose estimation are derived based on least-square methods. Secondly, to tackle the issue of poor absolute positioning accuracy of the robot, dynamic relative pose estimation is proposed addressing a state estimation of relative poses during motion. Iterative extended Kalman filter method is adapted for the state estimation. Thirdly, for robustness against outliers of point measurements, robust pose estimation is proposed based on an outlier diagnosis using the technique of relaxation of rigid body constraints. Indeed, outlier diagnosis is a pre-processing of point measurements, in which outliers are detected and removed prior to the relative pose estimation. Further, a decorrelation method is proposed for measurement calibration using multivariate statistical analysis to find an optimal sensor-to-target configuration. As a result, each coordinate measurement is close to uncorrelated and it allows for a simple calibration.

Highlights

  • 1.1 BackgroundIn aerospace industry, high precision is necessary due to manufacturing of airplanes for their improved characteristics about safety, fuel consumption, noise pollution reduction, and comfort for passengers

  • Position-based visual servoing requires explicit reconstruction of the robot and target pose, and it leads to predictable trajectories and allows simple path planners to be directly incorporated into the controller

  • Pose estimation has been studied for position-based visual servoing with an application in robotic percussive riveting

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Summary

Background

High precision is necessary due to manufacturing of airplanes for their improved characteristics about safety, fuel consumption, noise pollution reduction, and comfort for passengers. For the purpose of robot precise positioning and rivet insertion control, the online state estimations of the relative pose and motion are desired between the tool center point (TCP) of the robot tooling and the working panel. For this reason, a metrology system of a position visual sensor is introduced to guide the robot and the research of relative pose estimation between the robot and panel has been carried out pertaining to these challenges

Robotic Percussive Riveting
Problem Formulation
Research Objective
Methods
Outline of Thesis
Pose Estimation
Position-Based Visual Servoing
CHAPTER 3 STATIC POSE ESTIMATION
Formulation of Pose Estimation
Cartesian Frame Formulation
Normalized Directional Vectors
Covariance Matrix Method
Least Squares Methods
Direct Relative Pose Estimation between Two Rigid Bodies
Problem Statement
CTLS solution
Summary
Pose Estimation for Multiple Frames of a Rigid-Body System
Working Panel Localization
Target Localization
Verification of Localization
CHAPTER 4 DYNAMIC POSE ESTIMATION
Description of Dynamic Pose Estimation
Relative Pose and Motion Estimation
State Space Modeling
Relative Pose and Motion Estimation by IEKF
Simulations and Experiments
Preliminary Transformation of Target 2-TCP and Target 1-Working Panel
Simulations
Translational Estimation Results
Experiments
CHAPTER 5 ROBUST POSE ESTIMATION
Outlier Diagnosis
Rigid Body Constraints
Outlier Diagnosis by Relaxation
Experiment Verification
CHAPTER 6 DECORRELATION METHOD FOR MEASUREMENT CALIBRATION
Description of Measurement Calibration
Decorrelation Formulations
Local Decorrelation
C VDV 1
T C 1 X X T VDV T 1 X V T X V T T D 1 V T X V T
Global Decorrelation
Evaluation and Comparison
Experiments and Simulations
Decorrelation methods
Conclusions
Contributions
Future Works
Position Vector
Rotation Matrix
Angle-set Representation of a Rotation
General Motion of a Single Rigid Body
General Motion of Multiple Rigid Bodies
The Rank of a Matrix
The Moore-Penrose (MP) Inverse
The Solution of Linear Equation Systems
Least Squares Method and Gauss-Markov Theorem
Rotation of Subspaces (Constrained Least-Squares)
Π3 l3 Sensor 3 Y
Reflection Distraction
Illumination Distraction
Missing data and outliers

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