Rafał Mateusz Sobański;Maciej Marcin Michałek;Michael Defoort
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Fixed-Time VFO Control Design for Nonholonomic Mobile Robots With Constrained Control Inputs
This article presents a fixed-time vector-field-orientation (VFO) control law for unicycle-like nonholonomic mobile robots. We consider a set-point control problem in the presence of control inputs constraints and task-execution time constraints. The control law is based on the VFO methodology, which is characterized by nonoscillatory and well-predictable time evolution of transient states for unicycle-like robots. A formal stability analysis for the closed-loop dynamics is provided based on Lyapunov theory, and moreover, a method for a priori estimation of the upper bounds of the convergence time, in the presence of control input constraints, is presented. Finally, the control performance is illustrated by results of numerical simulations and experimental tests.
期刊介绍:
The scope of the IEEE Transactions on Cybernetics includes computational approaches to the field of cybernetics. Specifically, the transactions welcomes papers on communication and control across machines or machine, human, and organizations. The scope includes such areas as computational intelligence, computer vision, neural networks, genetic algorithms, machine learning, fuzzy systems, cognitive systems, decision making, and robotics, to the extent that they contribute to the theme of cybernetics or demonstrate an application of cybernetics principles.