2-mass system is an important first order approximated model of flexible joint robot, flexible arm, and its vibration suppression control is of a great importance for motion control. For this control problem, there have been many researches on vibration suppression control of 2-mass system in the face of parameter variations, but the effectiveness of their control methods has been only confirmed through simulations.
This paper is concerned with the experimental evaluations of the vibration suppression control of a 2-mass system. Three typical controllers, a PID controller, an
H∞ controller, and a μ controller, are designed and compared from the viewpoint of the control performance against the parameter variations. In the design procedure of
H∞ control and μ-synthesis method, we consider the parameter variations in the mass of the cart2 and the spring constant which correspond to the change of the natural frequency of the 2-mass system between 4.68 and 6.66 rad/sec. Based on these variations, eight kinds of the perturbed models are defined. Then we regard those models as uncertainties and apply μ-synthesis method to 2-mass system. From the experimental results, it is observed that PID control and
H∞ control may lead to poor performances in the presence of the parameter variations, but μ-synthesis yields better transient and steady state responses even if the parameter variations exist.
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