Parameter value selection strategy for complete coverage path planning based on the Lü system to perform specific types of missions

Abstract

We propose a novel parameter value selection strategy for the Lü system to construct a chaotic robot to accomplish the complete coverage path planning (CCPP) task. The algorithm can meet the requirements of high randomness and coverage rate to perform specific types of missions. First, we roughly determine the value range of the parameter of the Lü system to meet the requirement of being a dissipative system. Second, we calculate the Lyapunov exponents to narrow the value range further. Next, we draw the phase planes of the system to approximately judge the topological distribution characteristics of its trajectories. Furthermore, we calculate the Pearson correlation coefficient of the variable for those good ones to judge its random characteristics. Finally, we construct a chaotic robot using variables with the determined parameter values and simulate and test the coverage rate to study the relationship between the coverage rate and the random characteristics of the variables. The above selection strategy gradually narrows the value range of the system parameter according to the randomness requirement of the coverage trajectory. Using the proposed strategy, proper variables can be chosen with a larger Lyapunov exponent to construct a chaotic robot with a higher coverage rate. Another chaotic system, the Lorenz system, is used to verify the feasibility and effectiveness of the designed strategy. The proposed strategy for enhancing the coverage rate of the mobile robot can improve the efficiency of accomplishing CCPP tasks under specific types of missions.

Keywords

Chaotic mobile robot / Lü system / Complete coverage path planning (CCPP) / Parameter value selection strategy / Lyapunov exponent / Pearson correlation coefficient

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2023 Zhejiang University Press