Finding a State-Space Representation for Helicopter Pitch Angle Control

AI Thread Summary
The discussion focuses on developing a state-space representation for controlling a helicopter's pitch angle by adjusting the rotor angle. The objective is to regulate the pitch angle (theta) as an output using the rotor angle (u) as an input. A participant expresses confusion regarding the formulation of the A matrix, specifically questioning the equation X3' = 9.8*theta - 14.3*theta' - 0.198*theta. Clarification is sought on why this formulation is incorrect. The conversation emphasizes the need for accurate linearization techniques in control systems.
Nico Frontmann
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I need help finding a state-space representation for the given system and locally linearizing it...

15w1ls.jpg

Objective is to control the pitch angle theta, as an output, of the helicopter by regulating the rotor angle u, as an input.

This is what I've done, but apparently it isn't correct, and I don't understand why:
k9uixy.jpg
 
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in your A matrix you are saying X3'=9.8*theta-14.3*theta'-0.198*theta.
 
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