Chaotic Path Planning for Mobile Robots Based on the Chen System

Coverage path planning is an algorithm that generates efficient robot trajectories to ensure complete coverage of a designated area. It is widely used in applications such as cleaning, surveillance, and exploration of unknown environments. The chaotic mobile robot, driven by a controller with chaotic dynamics, ensures full workspace coverage without a map or a global motion plan. In this paper, different variables of the Chen system and the Lorenz system are used to generate the chaotic motion of the robot. By comparing the trajectory coverage rate of the three variables [Formula: see text] in the Chen system under the same initial conditions and running time, it is found that the third variable z of the Chen system performs the best in bounded workspace and is better than those in the Lorenz system. Furthermore, in order to illustrate the advantages of chaotic path planning, we consider several more complex robot workspaces: the case of a bounded workspace with obstacles and the case of various nonconvex bounded workspaces. The simulation results show that the robot trajectory corresponding to the z-variable of the Chen system not only maintains the highest coverage rate but also can successfully pass through narrow channels in nonconvex areas for comprehensive retrieval. Finally, the relationship between the qualitative properties of the two chaotic systems and the coverage rate of the chaotic robot’s trajectory is discussed in detail.

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Publication Details

Journal
International Journal of Bifurcation and Chaos
Published
2025-06-21
DOI
https://doi.org/10.1142/s0218127425501342
Primary Topic
Robotic Path Planning Algorithms
Type
article
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article

Chaotic Path Planning for Mobile Robots Based on the Chen System

Yu Zhang, J.-P. Cheng, Xiao-Song Yang
International Journal of Bifurcation and Chaos
Robotic Path Planning Algorithms
article

Chaotic Path Planning for Mobile Robots Based on the Chen System

Yu Zhang, J.-P. Cheng, Xiao-Song Yang
article en

Abstract

Coverage path planning is an algorithm that generates efficient robot trajectories to ensure complete coverage of a designated area. It is widely used in applications such as cleaning, surveillance, and exploration of unknown environments. The chaotic mobile robot, driven by a controller with chaotic dynamics, ensures full workspace coverage without a map or a global motion plan. In this paper, different variables of the Chen system and the Lorenz system are used to generate the chaotic motion of the robot. By comparing the trajectory coverage rate of the three variables [Formula: see text] in the Chen system under the same initial conditions and running time, it is found that the third variable z of the Chen system performs the best in bounded workspace and is better than those in the Lorenz system. Furthermore, in order to illustrate the advantages of chaotic path planning, we consider several more complex robot workspaces: the case of a bounded workspace with obstacles and the case of various nonconvex bounded workspaces. The simulation results show that the robot trajectory corresponding to the z-variable of the Chen system not only maintains the highest coverage rate but also can successfully pass through narrow channels in nonconvex areas for comprehensive retrieval. Finally, the relationship between the qualitative properties of the two chaotic systems and the coverage rate of the chaotic robot’s trajectory is discussed in detail.

International Journal of Bifurcation and ChaosVol. 35(11)
Huazhong University of Science and Technology (CN)
Sustainable cities and communities
Openalex Percentile: Top 88%
Robotic Path Planning Algorithms
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Chaotic Path Planning for Mobile Robots Based on the Chen System — Yu Zhang, J.-P. Cheng, et al. · International Journal of Bifurcation and Chaos (2025) | TGRS Research Map | TGRS