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• W2076298511 abstract "We consider an experimental system consisting of a pendulum, which is free to rotate 360 degrees, attached to a cart. The cart can move in one dimension. We describe a model for this system and use it to design a feedback control law that stabilizes the pendulum in the upright position. We then introduce a time delay into the feedback and prove that for values of the delay below a critical delay, the system remains stable. Using a center manifold reduction, we show that the system undergoes a supercritical Hopf bifurcation at the critical delay. Both the critical value of the delay and the stability of the limit cycle are verified experimentally. Our experimental data is illustrated with plots and videos." @default.
• W2076298511 created "2016-06-24" @default.
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• W2076298511 date "2005-01-01" @default.
• W2076298511 modified "2023-10-01" @default.
• W2076298511 title "Dynamics of an Inverted Pendulum with Delayed Feedback Control" @default.
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• W2076298511 doi "https://doi.org/10.1137/030600461" @default.
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