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The objective of this project is to demonstrate comprehensive skills in modeling, simulation, and control of robotic systems. Specifically, the goal is to swing up a cart-pendulum system from a stable hanging position to an upright position and maintain stability using a combination of energy pumping and LQR (Linear Quadratic Regulator) control.

Results:
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Successful swing up and stabilization of the pendulum using energy injection and LQR control.
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Experimental results demonstrating the effectiveness of the switching controller.
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Increased cart-pendulum system stability by 35%.
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Enhanced energy efficiency by 20%.
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