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• W2026928045 abstract "This paper is concerned with the problem of trajectory tracking of a unicycle wheeled mobile robot when small skidding and slipping effects are taken into account. For this purpose, we propose a dynamic modelisation based on a singular perturbation approach and referenced to the trajectory to be tracked. We highlight the necessity for the reference trajectory to satisfy the dynamics of the skidding effects and propose a first time-varying stabilising control law. It is based on the linear quadratic theory and, under some conditions on the reference trajectory, it makes the error vector locally asymptotically converge to zero. When the assumption of rolling without slipping is satisfied, wheeled mobile robots are known to be flat. We prove that this is no longer true when those conditions are transgressed. We then show that the flatness of the robot may be recovered in the average by using vibrational techniques. We finally make use of the high-frequency approach to build a second timevarying stabilising control law that ensures the global convergence of the trajectory tracking error to a limit cycle near the origin." @default.
• W2026928045 created "2016-06-24" @default.
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• W2026928045 date "1999-01-01" @default.
• W2026928045 modified "2023-09-23" @default.
• W2026928045 title "Modelling and Control of Wheeled Mobile Robots not Satisfying Ideal Velocity Constraints: The Unicycle Case" @default.
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• W2026928045 doi "https://doi.org/10.1016/s0947-3580(99)70165-2" @default.
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