The inverted pendulum has a transfer function given by Eq. (2.31), which is similar to

Chapter 6, Problem 6.48

(choose chapter or problem)

The inverted pendulum has a transfer function given by Eq. (2.31), which is similar to (a) Use Bode plot sketches to design a lead compensator to achieve a PM of 30. Then verify and refine your design by using MATLAB. (b) Sketch a root locus and correlate it with the Bode plot of the system. (c) Could you obtain the frequency response of this system experimentally?

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