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Unformatted text preview: MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Aeronautics and Astronautics 16.060: Principles of Automatic Control Fall 2003 PROBLEM SET 10 This problem set is for practice only! Problem 1: Sketching Bode Plots Sketch (by hand) the Bode plot for each of the following systems. Hint : first rewrite each transfer function in Bode (standard) form. 1. G ( s ) = 1 s +1 2. G ( s ) = s ( s 1 +1) 10 3. G ( s ) = s 2 + s +10 4. G ( s ) = s +10 s +1 5. G ( s ) = s +1 s +10 1000(0 . 1 s +1) 6. G ( s ) = s ( s +1)( s 2 +10 s +100) Problem 2: Bode Plots and Polar Plots As you probably have noticed already, Bode plots and polar plots represent the same information. (Recall that the polar plot of a transfer function is just the Nyquist plot for < < .) Nyquist plots are essential for evaluating the stability of the closedloop system when the openloop transfer function has poles in the right half plane. Bode plots are useful for designing controllers because they can be sketched quickly and accurately by hand, without diﬃcult calculations.calculations....
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This note was uploaded on 11/06/2011 for the course AERO 100 taught by Professor Willcox during the Fall '03 term at MIT.
 Fall '03
 willcox
 Aeronautics, Astronautics

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