What is the order of an inverted pendulum system with two degrees of freedom?

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The discussion focuses on determining the order of an inverted pendulum system with two degrees of freedom, where control input is applied as force. The order of a transfer function is defined by the highest order of the numerator or denominator. In the example provided, the transfer function has one zero and three poles, indicating an order of three. Clarification is sought regarding which part of the system is being analyzed for order. Ultimately, the order of the system is confirmed to be three based on the transfer function's characteristics.
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zoom1 said:
What is the order of this system ?

I don't quite understand your question: Which part of the system?

The order of a transfer function of a "system" is the highest order of the numerator or denominator. For example (from your link):

InvertedPendulum_SystemModeling_eq04703.png


has one zero and three poles. Thus the order of the transfer function = 3.
 

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