2017
DOI: 10.1007/s10846-017-0482-0
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VFO Path following Control with Guarantees of Positionally Constrained Transients for Unicycle-Like Robots with Constrained Control Input

Abstract: TheVector-Field-Orientation (VFO) method is a control design concept which was originally introduced for the unicycle kinematics to solve two classical control tasks corresponding to the trajectory tracking and set-point control problems. A unified solution to both the tasks was possible by appropriate definitions of the so-called convergence vector field. So far, there has not been a version of the VFO control law for the third classical control task concerning the path following problem, which is particularl… Show more

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Cited by 20 publications
(31 citation statements)
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“…When the reference path is ready, the outer loop feedback control module is responsible for computing the prime mover's instantaneous desirable velocity vector u 0c , which should guide the vehicle along the path toward the target location. The vector u 0c , consisting of a computed longitudinal velocity v 0c for the guidance point and an angular commanded velocity c 0 of the prime mover's body, is updated in real time based on the current value of estimated vehicle configuration q E , using the Vector-Field-Orientation (VFO) path-following (PF) control strategy proposed in [10]. It has been shown that applying the VFO PF control function is relatively intuitive and leads to easily predictable nonoscillatory movement of a vehicle in a transient stage as it is smoothly guided toward, and then along, a reference path.…”
Section: Motion Algorithmization Subsystemmentioning
confidence: 99%
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“…When the reference path is ready, the outer loop feedback control module is responsible for computing the prime mover's instantaneous desirable velocity vector u 0c , which should guide the vehicle along the path toward the target location. The vector u 0c , consisting of a computed longitudinal velocity v 0c for the guidance point and an angular commanded velocity c 0 of the prime mover's body, is updated in real time based on the current value of estimated vehicle configuration q E , using the Vector-Field-Orientation (VFO) path-following (PF) control strategy proposed in [10]. It has been shown that applying the VFO PF control function is relatively intuitive and leads to easily predictable nonoscillatory movement of a vehicle in a transient stage as it is smoothly guided toward, and then along, a reference path.…”
Section: Motion Algorithmization Subsystemmentioning
confidence: 99%
“…This article presents a prototype ADAS for drivers of electric urban buses, which is being cooperatively developed by Poznań University of Technology and European manufacturer Solaris Bus & Coach (SBC). The proposed system builds on and integrates components previously created by the authors in the context of vision-based detection [8] as well as motion planning and feedback control algorithms [9], [10]. The main contribution to the field of intelligent transportation comes from the new concept of the complete ADAS, which adheres to the requirements of bus manufacturers and operators by relying only on onboard sensors and computational systems while being affordable and scalable to various city bus models.…”
mentioning
confidence: 99%
“…However, contrary to the approach from Reference [8], our transition segments are not represented by curvature profiles. We propose transition segments with explicit representation of x as a function of y, which can easily be used with known path-following controllers (e.g., Reference [9]). We also devised a closed-form expression utilized to check for collisions between our G 3 -continuous path primitive and an obstacle, which leads to efficient and exact collision checking.…”
Section: Related Workmentioning
confidence: 99%
“…Transition segments are not explicitly parameterized by arc-length s, but they can immediately be used with path-following controllers utilizing level curves, such as the one from Reference[9].…”
mentioning
confidence: 99%
“…Muhammad Asif et al [11] developed the output feedback with adaptive Sliding Mode Controller (SMC), and revealed that the high gain observer and the globally bounded state feedback is robust against un-modeled dynamics and disturbances. In [12], the Vector-Field-Orientation (VFO) control was proposed to solve the path following task for unicycle kinematics with the amplitude-limited control input. This method has advantages such as rapid, non-oscillatory, and easily predictable transients in the closed-loop system.…”
Section: Introductionmentioning
confidence: 99%