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Design of a Chaotic Trajectory Generator Algorithm for Mobile Robots

Juan Cetina-Denis, R.M. López-Gutiérrez, C. Cruz-Hernández, Adrian Arellano-Delgado

2022Applied Sciences22 citationsDOIOpen Access PDF

Abstract

This paper addresses the problem of designing an algorithm capable of generating chaotic trajectories for mobile robots. In particular, the chaotic behavior is induced in the linear and angular velocities of a differential drive mobile robot by infusing them with the states of the Hénon chaotic map. A possible application of patrolling a work area by using trajectories with chaotic motion in differential drive mobile robots is presented. In this work, obtained numerical and experimental results are reported and analyzed. In addition, two quantitative numerical tests are applied in order to measure the chaoticity of the generated trajectories. With the intention of expanding this work further, we explore the case where multiple mobile robots move simultaneously in the same work area with different trajectories, and the final results are exhaustively analyzed. In addition, experimental results are presented.

Topics & Concepts

PatrollingMobile robotChaoticTrajectoryComputer scienceRobotDifferential (mechanical device)Work (physics)Control theory (sociology)Generator (circuit theory)SimulationAlgorithmArtificial intelligenceEngineeringPhysicsPower (physics)Mechanical engineeringAerospace engineeringAstronomyLawPolitical scienceControl (management)Quantum mechanicsChaos control and synchronizationMathematical Dynamics and FractalsChaos-based Image/Signal Encryption