This study is devoted to the modeling and control of a 4-wheel, skid-steering mobile platform with coupled side wheels, subject to lateral and longitudinal slips. The dynamics equations of the platform are derived, and 16 variants of motion distinguished. For the variant of motion allowing for all possible slips of the wheels two control problems are addressed: the motion planning problem and the trajectory tracking problem. The former problem is solved by means of a Jacobian motion planning algorithm based on the Endogenous Configuration Space Approach and, complementarily, using the Optimal Control Approach. The Nonlinear Model Predictive Control is applied to the latter problem. Performance of these control algorithms is illustrated by a sort of the parking problem. Significant robustness of the predictive control algorithm against the model uncertainty is revealed.
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The objective of this article is to present an automatic demonstrator of underactuated mechanical systems. It is the inertia wheel inverted pendulum, which has two degrees of freedom and a single actuator. Nonlinear predictive control is applied to the underactuated system allowing dynamic control for optimal tracking of periodic reference trajectories. The simulation results show the performance and efficiency of the proposed control.
PL
Celem tego artykułu jest przedstawienie automatycznego demonstratora niedostatecznie uruchomionych układów mechanicznych. Jest to odwrócone wahadło stabilizowane kołem zamachowym, które ma dwa stopnie swobody i jeden siłownik. Nieliniowe sterowanie predykcyjne jest stosowane do niedostatecznie uruchomionego systemu, umożliwiając dynamiczne sterowanie w celu optymalnego śledzenia okresowych trajektorii odniesienia. Wyniki symulacji pokazują wydajność i skuteczność proponowanego sterowania.
In this work, continuous third-order sliding mode controllers are presented to control a five degrees-of-freedom (5-DOF) exoskeleton robot. This latter is used in physiotherapy rehabilitation of upper extremities. The aspiration is to assist the movements of patients with severe motor limitations. The control objective is then to design adept controllers to follow desired trajectories smoothly and precisely. Accordingly, it is proposed, in this work, a class of homogeneous algorithms of sliding modes having finite-time convergence properties of the states. They provide continuous control signals and are robust regardless of non-modeled dynamics, uncertainties and external disturbances. A comparative study with a robust finite-time sliding mode controller proposed in literature is performed. Simulations are accomplished to investigate the efficacy of these algorithms and the obtained results are analyzed.
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