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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2024 Issue 2, Pages 46–59 (Mi at16181)

This article is cited in 2 papers

Nonlinear Systems

Path deformation method with constraints on normal curvature for wheeled robots in precision agriculture based on second-order cone programming

T. A. Tormagov

Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region

Abstract: In precision agriculture, path planning for agricultural robots with complete covering a three-dimensional landscape is an essential task. For robots with front wheels steering the normal curvature of the trajectories should be limited to some value determined by the characteristics of the vehicle. The paper considers a method of deformation of these paths to account for obstacles for trajectories described by homogeneous cubic B-splines. We propose an optimization problem that allows calculating paths with minimizing skips in the coverage. The considered problem is convex and belongs to the class of second-order cone programming, which entails the possibility of its computationally efficient solution. The computational examples are presented.

Keywords: precision farming, precision agriculture, obstacle avoidance, complete coverage path planning, second-order cone programming, SOCP.

Presented by the member of Editorial Board: L. B. Rapoport

Received: 26.06.2023
Revised: 30.12.2023
Accepted: 20.01.2024

DOI: 10.31857/S0005231024020037


 English version:
Automation and Remote Control, 2024, 85:2, 123–131


© Steklov Math. Inst. of RAS, 2026