Abstract

Introduction. Purpose of the work. Within the framework of the computer-aided system, a technology has been formed for the method of controlling the current trajectories (CTs) of unmanned vehicles (UMVs) when they move along routes in a quarry in open pit mining. The purpose of the presented studies is to analyze the application of a wavelet transforms technique to the problem of routing unmanned vehicles when they move along routes within open pit roads. Methodology. The results of modeling certainone-dimensional signalscorresponding to the UMV current trajectories when they deviate to the left / right from a nominal axial trajectory (NAT), as well astheir time-frequency representationsin a wavelet medium are presented. An algorithm of the procedure for displaying scalar UMV CT control signals in a complex medium of time-frequency wavelet transforms has been developed and described. Such a transformation allows for a functionally transparent and information-capacious monitoring of the UMV movement and efficiently manage the processes of trajectory routing dump trucks in an open pit. Research results, analysis. The processes of modifying the UMV movement current trajectories under the control of the computer-aided system are generated using wavelet transforms methods. They are based on algorithms for projecting the trajectory signals with a time-dependent frequency (chirp signals) onto a set of wavelet functions as part of a wavelet thesaurus (wavelet dictionary), executing certain wavelet matching pursuit procedures, and displaying the CT scalar signals in a specific multidimensional medium of Cohen’s class time-frequency distributions. The simulation results in the form of the current trajectory (CT-) signals waveforms and their three-dimensional time-frequency representations as Wigner maps showing the UMV movement in a start-stop mode, as well as the signals of formed continuous deviation trajectories when they leave to the left and to the right from the NAT, are presented. An algorithm for the formation of 3D-representations of UMV current trajectory one-dimensional signals is presented. Conclusion. The conclusion is made that the mathematical technique of wavelet transforms is the most expedient and effective means for computer-aided monitoring and controlling the dynamics of UMV movement along routes within open pit roads.

Highlights

  • This paper presents the results of modeling one-dimensional signals, as well as their time-frequency representations in a wavelet medium, corresponding to the current trajectories when they deviate to the left / right from the nominal axial trajectory (NAT) during the unmanned vehicles (UMVs) movement along the quarry routes

  • The research results show that the mathematical technique of wavelet transforms is an effective way for computer-aided monitoring and controlling the dynamics of UMV moving along routes within open pit roads

  • The paper considers the procedures for converting one-dimensional signals characterizing the dynamic state of UMV current trajectories (CTs) on technological routes in an open coal mine into their multidimensional time-frequency representatons

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Summary

Introduction

An algorithm of the procedure for displaying scalar UMV CT control signals in a complex medium of timefrequency wavelet transforms has been developed and described Such a transformation allows for a functionally transparent and informationcapacious monitoring of the UMV movement and efficiently manage the processes of trajectory routing dump trucks in an open pit. The processes of modifying the UMV movement current trajectories under the control of the computer-aided system are generated using wavelet transforms methods They are based on algorithms for projecting the trajectory signals with a time-dependent frequency (chirp signals) onto a set of wavelet functions as part of a wavelet thesaurus (wavelet dictionary), executing certain wavelet matching pursuit procedures, and displaying the CT scalar signals in a specific multidimensional medium of Cohen’s class time-frequency distributions.

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