Sufficient conditions for dynamic state feedback linearization
SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization
Tracking control of mobile robots: a case study in backstepping
Automatica (Journal of IFAC)
Mathematical control theory: deterministic finite dimensional systems (2nd ed.)
Mathematical control theory: deterministic finite dimensional systems (2nd ed.)
Nonlinear Control of Wheeled Mobile Robots
Nonlinear Control of Wheeled Mobile Robots
Brief On controllability and trajectory tracking of a kinematic vehicle model
Automatica (Journal of IFAC)
A novel trajectory-tracking control law for wheeled mobile robots
Robotics and Autonomous Systems
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Improvement over classical dynamic feedback linearization for a unicycle mobile robots is proposed. Compared to classical extension, the technique uses a higher-dimensional state extension, which allows rejecting a constant disturbance on the robot rotational axis. The proposed dynamic extension acts as a velocity scheduler that specifies, at each time instant, the ideal translational velocity that the robot should have. By using a higher-order extension, both the magnitude and the orientation of the velocity vector can be generated, which introduces robustness in the control scheme. Stability for both asymptotic convergence to a point and trajectory tracking is proven. The theoretical results are illustrated first in simulation, and then experimentally on the autonomous mobile robot Fouzy III.