Stabilising A Vertically Driven Inverted Pendulum
نویسندگان
چکیده
In this article we discuss the primliminary results of stabilising a vertically driven pendulum. Following the brief introduction on the importance of this ‘toy’ problem, we give an account of the experimental set up. We then explain the parameter extraction from the experimental data which form a cucial part of our quantitative study. We also find the stability boundary for a small range of driving frequencies and amplitudes and match it with the simulation. We finally present a qualitative description of stabilising the double pendulum.
منابع مشابه
Dynamic Stabilization of the Inverted Pendulum
The inverted pendulum is a canonical problem in both Nonlinear Dynamics and Control Theory. In this article, the phenomenon of dynamic stabilization of the vertically driven inverted pendulum is investigated experimentally and numerically. We resolve the first stabilizing boundary in driving parameter space, as well as investigate the effects of frictional damping on the dynamics of the pendulu...
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