Abstract

This paper describes a new approach for the visual pose estimation of an uncertain robotic manipulator using ANFIS (Artificial Neuro-Fuzzy Inference System) and two uncalibrated cameras. The main emphasis of this work is on the ability to estimate the positioning accuracy and repeatability of a low-cost robotic arm with unknown parameters under uncalibrated vision system. The vision system is composed of two cameras; installed on the top and on the lateral side of the robot, respectively. These two cameras need no calibration; thus, they can be installed in any position and orientation with just the condition that the end-effector of the robot must remain always visible. A red-colored feature point is fixed on the end of the third robotic arm link. In this study, captured image data via two fixed-cameras vision system are used as the sensor feedback for the position tracking of an uncertain robotic arm. LabVolt R5150 manipulator in our laboratory is used as case study. The visual estimation system is trained using ANFIS with subtractive clustering method in MATLAB. In MATLAB, the robot, feature point and cameras are simulated as physical behaviors. To get the required data for ANFIS, the manipulator was maneuvered within its workspace using forward kinematics and the feature point image coordinates were acquired with the two cameras. Simulation experiments show that the location of the robotic arm can be trained in ANFIS using two uncalibrated cameras; and problems for computational complexity and calibration requirement of multi-view geometry can be eliminated. Observing Mean Square Error (MSE), Root Mean Square Error (RMSE), Error Mean and Standard Deviation Errors, the performance of the proposed approach is efficient for using as visual feedback in uncertain robotic manipulator. Further, the proposed approach using ANFIS and uncalibrated vision system has better in flexibility, user-friendly manner and computational concepts over conventional techniques.

Highlights

  • The positioning problem of robot manipulators using visual information has been an area of research over the last 40 years

  • Parameters used in all the models Input membership function (MF) type Input partitioning Output MF type Number of output MFs Training algorithm Training epoch number Initial step size

  • An Adaptive Neural-Fuzzy Inference System (ANFIS)-based visual positioning approach using two cameras is proposed in this paper

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Summary

Introduction

The positioning problem of robot manipulators using visual information has been an area of research over the last 40 years. Attention to this subject has drastically grown in recent years. Cid et al [14] developed fixed-camera visual servoing for planar robot manipulators composing control laws by the gradient of an artificial potential energy plus a nonlinear velocity feedback. The positioning problem of 5-DOF articulated robot manipulators is addressed under two fixed cameras configurations. The main contribution is the development of a new pose-independent learning method for the robotic endeffector positioning using two uncalibrated fixed cameras and robotic forward kinematics.

Robotic Forward Kinematic Analysis
Determining D-H Parameters
A Link 1 Shoulder 2 Elbow 3 Wrist 4 Tool Pitch 5 Tool Roll
Forward Kinematic Model
Adaptive Neural-Fuzzy Inference System
Proposed System for ANFIS-Based Visual Positioning Approach
Simulation Tests and Results for Visual Pose Estimation
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