In this paper, a derived piecewise continuous controller based method for an X-Y robot system trajectory tracking is proposed. The controller, which is based on the theory of particular hybrid systems called piecewise continuous systems characterized by autonomous switching and controlled impulses, uses only the robot's position measurement for feedback and does not require any identification work of the electromechanical system. The effectiveness and robustness of the method developed are analyzed theoretically and experimented with different type references on a real time X-Y robot system.
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A method of determining the shape of the vibration damping characteristic in systems with one degree of freedom in the case when the characteristic depends not only on the velocity but also in an unknown way depends on the displacement has been developed. The method is intended for determining the specific form of the mathematical function describing this dependence. The method utilizes an appropriate analysis of experimentally determined traces of free vibrations of the system. The method has been verified on a few selected computer systems.
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The work presents modeling of collisions of mechanical bodies using two basic models of the collision: the Newton model, in which dynamics of the collision is described by the coefficient of restitution, and the model considering the elastic dissipative properties of colliding bodies, i.e. the non-linear Kelvin-Voigt model. Quantitative similarity of both models was described using the energetic method.
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