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Robot path optimization based on adaptive weight pseudospectral method

Published online by Cambridge University Press:  06 August 2025

Wenzhi Zhou Open the ORCID record for Wenzhi Zhou [Opens in a new window] ,
Zhiwei Gao ,
Xin Sun  and
Licheng Fan
Wenzhi Zhou
Affiliation:
School of Mechanical and Electrical Engineering, Soochow University, Suzhou, China
Zhiwei Gao
Affiliation:
School of Mechanical and Electrical Engineering, Soochow University, Suzhou, China
Xin Sun
Affiliation:
School of Mechanical and Electrical Engineering, Soochow University, Suzhou, China
Licheng Fan*
Affiliation:
School of Mechanical and Electrical Engineering, Soochow University, Suzhou, China
*
Corresponding author: Licheng Fan; Email: fanlicheng@suda.edu.cn
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Abstract

In complex work environments, improving efficiency and stability is an important issue in robot path planning. This article proposes a new path optimization algorithm based on pseudospectral methods. The algorithm includes an adaptive weighting factor in the objective function, which automatically adjusts the quality of the path while satisfying the performance indicators of the shortest time. It also considers kinematic, dynamic, boundary, and obstacle constraints, and applies the Separating Axis Theorem collision detection method to improve computational efficiency. To discretize the continuous path optimization problem into a nonlinear programming problem, the algorithm utilizes Chebyshev polynomials for the interpolation of state and control variables, along with the adoption of the Lagrange interpolation polynomial to approximate the curve. Finally, it solves the nonlinear programming problem numerically using CasADi, which supports automatic differentiation. The results of the simulation demonstrate that the path optimized by the adaptive-weight pseudospectral method can satisfy various constraints and optimization objectives simultaneously. Experimental verification confirms the efficiency and feasibility of the proposed algorithm.

Keywords

roboticpseudospectral methodadaptive weightingpath optimizationoptimal control

Information

Type
Research Article
Information
Robotica , Volume 43 , Issue 8 , August 2025 , pp. 3011 - 3029
Copyright
© The Author(s), 2025. Published by Cambridge University Press

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