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

Exercise 1: Laplace Transforms

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

Exercise 2: Partial Fractions Find the inverse Laplace transform of

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

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

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

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

Exercise 5: Stability Margins Determine the Phase and Gain Margins:

Exercise 5: Stability Margins Determine the Phase and Gain Margins: PM~30 o GM~10dB