pset8 - ) 1 8 . ( 1 ) ( 2 s s s s G (4) (5 points) Draw a...

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ME3015 Fall 2011 PROBLEM SET #8 (25 points). Document as outlined in the course admin letter. Due: The beginning of Lesson 29 (December 5th). (1) (5 points) Consider the following feedback system where k is a scalar feedback gain. (a)Sketch the root-locus of the closed-loop system. (Hint: MATLAB “roots” function is convenient to compute roots of a polynomial.) r 2 s k x ) 2 2 )( 3 ( 1 2 s s s s s (b) Find the range of k for stability. (2) (5 points) Draw a bode plot by hand for the following open-loop transfer function ) 10 ( 10 ) ( s s s G (3) (5 points) Draw a Nyquist plot by MATLAB for the following open-loop system and check the stability of the unity feedback system using Nyquist stability criterion.
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Unformatted text preview: ) 1 8 . ( 1 ) ( 2 s s s s G (4) (5 points) Draw a Nyquist plot by MATLAB for the following open-loop system and check the stability of the unity feedback system using Nyquist stability criterion. 2 ) 1 )( 10 ( 10 ) ( s s s G (5) (5 points) Sketch a root-locus diagram for the following system. (NOTE: In the diagram, draw the locations of pole(s) and zero(s), angles of departure from complex poles, and asymptote(s). You may use MATLAB, but do not forget to put the above information on the plot.) ) 2 2 )( 2 ( 1 ) ( 2 s s s s s G...
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