A TU Vienna demo of a double inverted pendulum on a cart, using constrained feedforward and optimal feedback control for swing-up and point-to-point motion.
Why Hacker News points people here: Cited as a harder real-world version of the pole-balancing problem and as proof that chaotic systems can be controlled.
“Triple!!! inverted pendulum balancing with a physical cart (2011), a much much much harder task”HN comment, 2016
“It'd be fun to write software to balance the double pendulum.”
Example of balancing a double pendulum on a cart
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Cool. Feature request: mount the pivot on a programmable cart. It'd be fun to write software to balance the double pendulum. e.g. this video and, balancing a triple pendulum: link
Cites itimaginenoreSep 2016
“Double inverted pendulum balancing with a physical cart (2011), a much much harder task”
Physical double inverted pendulum on a cart, a harder task
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Two-pole balancing (2009): link Double inverted pendulum balancing (2015), a much harder task: link Double inverted pendulum balancing with a physical cart (2011), a much much harder task: this video Triple!!! inverted pendulum balancing with a physical cart (2011), a much much much harder task: link
Cites itchr1Oct 2023
“Chaotic behavior does not mean that system is impossible to control”
Shows chaotic system can still be controlled
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N1 designers did not have good computers. Chaotic behavior does not mean that system is impossible to control (e.g. double pendulum this video ).