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# Home work

**Assignment**

**Frequency Response Methods**

- Watch video “EE495 – Week 5 – Lecture”
- Read Chapter 8 in the text Modern Control Systems, 12th Edition.
- Work the following problems:
- Sketch the polar plot of the frequency response for the following loop transfer functions:
- Gc(s)G(s) = 1 / ((1 + 0.25s)(1 + 3s))
- Gc(s)G(s) = 5(s2 + 1.4s + 1) / (s – 1)2
- Gc(s)G(s) = (s – 8) / (s2 + 6s + 8)
- Gc(s)G(s) = 20(s + 8) / (s(s +2)(s + 2))

- Sketch the Bode diagram representation of the frequency response for the transfer functions give in problem (i).

- Sketch the polar plot of the frequency response for the following loop transfer functions:
- Save work in a file with the title: “HW5_StudentID”, with your student id substituted in the file name. Show all work for full credit.
- Upload file “HW5_StudentID”

**Lab**

**Frequency Response Methods**

- For the systems in HW5, use MATLAB to generate the polar and Bode plots.
- Include all MATLAB code, calculations and screenshots in a Word entitled “Lab5_StudentID”.
- Upload file “Lab5_StudentID”