1. Professor Walter W. Olson Department of Mechanical, Industrial and Manufacturing Engineering University of Toledo Lecture 24a Problem Session

2. Exercise 1: Laplace Transforms

4. Exercise 2: Partial Fractions Using partial fractions, find the inverse Laplace transform of

5. Exercise 2: Partial Fractions Find the inverse Laplace transform of

6. Exercise 3: Heaviside Expansion Use the Heaviside Expansion to find the inverse of

7. Exercise 3: Heaviside Expansion Use the Heaviside Expansion to find the inverse of

8. Exercise 4: Nyquist Plotting Plot a Nyquist plot for the open loop transfer transfer function Determine the Gain Margin and the Phase margin

9. Exercise 4: Nyquist Plotting PM=55 o 1/GM=0.6 GM=1.67 GM=4.43 db

10. Exercise 5: Stability Margins Determine the Phase and Gain Margins: 0 50 -50 -90 -180 1 10 0.1

11. Exercise 5: Stability Margins Determine the Phase and Gain Margins: 0 50 -50 -90 -180 1 10 0.1 PM~30 o GM~10dB