Compute the loop transfer function

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Reference no: EM131322567

Assignment

Instructions

Save this document and place your answers into it so you can submit it to the appropriate homework dropbox. Handwritten solutions should be scanned and saved as a BMP, GIF, or JPG image, or scanned and pasted into this document.

Questions

Solve the following problems:

1. 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 ζ and predict the overshoot.

2. 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?

3. Consider the flexible robot arm system below:

Select K (trial and error) so that the system has the maximum phase margin.

Reference no: EM131322567

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