Homework 5, due March 26, 2014.

Due Wednesday, March 26, 2014.
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Homework 5, due March 26, 2014.

Post by goodwine »

Reading: all of Chapter 7.

Exercises: B-7-30, 31, 32, 33 and 34.

Also, Problem 6 from Chapter 4 from Doyle, Francis and Tannenbaum, which is the following.

Consider a unity feedback system with C(s) = 10 and plant P(s) = 1/(s-a) where a is real. Find the range of a for the feedback system to be internally stable. For a = 0 the plant is P(s) = 1/s and we can regard a as a perturbation. Write the plant as P'(s) = P/(1 + Delta W_2 P) with W_2(s) = -a. For this type of uncertainty, robust stability is guaranteed when ||W_2 P S|| < 1. Apply this condition to find when P' is internally stable. You should get a smaller range for a.

Finally, you must make progress on the project before next Wednesday. Include on your homework what you have done up to that date.
Bill Goodwine, 376 Fitzpatrick
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