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2019 | OriginalPaper | Chapter

On Optimal Selection of Coefficients of Path Following Controller for a Wheeled Robot with Constrained Control

Author : Alexander Pesterev

Published in: Optimization and Applications

Publisher: Springer International Publishing

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Abstract

Stabilization of motion of a wheeled robot with constrained control resource by means of a continuous feedback linearizing the closed-loop system in a neighborhood of the target path is considered. The problem of selection of the feedback coefficients is set and discussed. In the case of a straight target path, the desired feedback coefficients are defined to be those that result in the partition of the phase plane into two invariant sets of the nonlinear closed-loop system while ensuring the greatest asymptotic rate of the deviation decrease. A hybrid control law is proposed that ensures the desired properties of the phase portrait and minimal overshooting and is stable to noise. The proposed techniques are extended to the case of circular target paths.

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Literature
1.
go back to reference Thuilot, B., Cariou, C., Martinet, P., Berducat, M.: Automatic guidance of a farm tractor relying on a single CP-DGPS. Auton. Robots 13, 53–61 (2002)CrossRef Thuilot, B., Cariou, C., Martinet, P., Berducat, M.: Automatic guidance of a farm tractor relying on a single CP-DGPS. Auton. Robots 13, 53–61 (2002)CrossRef
2.
go back to reference Thuilot, B., Lenain, R., Martinet, P., Cariou, C.: Accurate GPS-based guidance of agricultural vehicles operating on slippery grounds. In: Liu, J.X. (ed.) Focus on Robotics Research. Nova Science, New York (2005) Thuilot, B., Lenain, R., Martinet, P., Cariou, C.: Accurate GPS-based guidance of agricultural vehicles operating on slippery grounds. In: Liu, J.X. (ed.) Focus on Robotics Research. Nova Science, New York (2005)
3.
go back to reference Pesterev, A.V., Rapoport, L.B.: Canonical representation of the path following problem for wheeled robots. Autom. Remote Control 74(5), 785–801 (2013)MathSciNetCrossRef Pesterev, A.V., Rapoport, L.B.: Canonical representation of the path following problem for wheeled robots. Autom. Remote Control 74(5), 785–801 (2013)MathSciNetCrossRef
4.
go back to reference De Luca, A., Oriolo, G., Samson, C.: Feedback control of a nonholonomic car-like robot. In: Laumond, J.-P. (ed.) Robot Motion Planning and Control, pp. 170–253. Springer, New York (1998) De Luca, A., Oriolo, G., Samson, C.: Feedback control of a nonholonomic car-like robot. In: Laumond, J.-P. (ed.) Robot Motion Planning and Control, pp. 170–253. Springer, New York (1998)
5.
go back to reference Pesterev, A.V.: Synthesis of a stabilizing control for a wheeled robot following a curvilinear path. Autom. Remote Control 73(7), 1134–1144 (2012)MathSciNetCrossRef Pesterev, A.V.: Synthesis of a stabilizing control for a wheeled robot following a curvilinear path. Autom. Remote Control 73(7), 1134–1144 (2012)MathSciNetCrossRef
7.
go back to reference Rapoport, L.B.: Estimation of attraction domain in a wheeled robot control problem. Autom. Remote Control 67(9), 1416–1435 (2006)MathSciNetCrossRef Rapoport, L.B.: Estimation of attraction domain in a wheeled robot control problem. Autom. Remote Control 67(9), 1416–1435 (2006)MathSciNetCrossRef
8.
go back to reference Pesterev, A.: Stabilizing control for a wheeled robot following a curvilinear path. In: Proceedings of the 10th International IFAC Symposium on Robot Control, Dubrovnik, pp. 643–648 (2012) Pesterev, A.: Stabilizing control for a wheeled robot following a curvilinear path. In: Proceedings of the 10th International IFAC Symposium on Robot Control, Dubrovnik, pp. 643–648 (2012)
Metadata
Title
On Optimal Selection of Coefficients of Path Following Controller for a Wheeled Robot with Constrained Control
Author
Alexander Pesterev
Copyright Year
2019
DOI
https://doi.org/10.1007/978-3-030-10934-9_24

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