Instructions
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Questions
Solve the following problems:
For the given system
where G(s)=K/(s(s+0.2)) and H(s) = 1,
Determine the phase margin when K = 0.16 (you may use the function margin in MATLAB. Note: you need to use the open-loop transfer function, not closed-loop).
Use the phase margin to estimate the damping ratio ? and predict the overshoot.
(c) Calculate the actual damping ratio ? and the overshoot, and compare with the part (b) estimate.
Consider the system below:
Compute the loop transfer function L(s) (Product of all three blocks), and sketch the Bode plots when K=5. What are the gain and phase margin and is the system stable?
Consider the flexible robot arm system below:
Select K (trial and error) so that the system has the maximum phase margin.
