homework5

homework5 - change in root-locus shape to the addition of...

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EE 3657 Homework # 5 – Assigned Wed Mar 23 - Due Wed Mar 30 Covers Root Locus. Your notes and the textbook should be ample material to solve these problems. 1. The control of a satellite’s attitude is described by the simple equation:  . 1 2 s s G Use the root locus plotting rules to sketch the rough root locus for a unity feedback system with feedforward transfer function (a)  2 s K s G , (b)   2 1 s s K s G , (c)    12 1 2 s s s K s G , (d)     4 1 2 s s s K s G , and (e)     9 1 2 s s s K s G . Also use MATLAB to plot the root locus for these transfer functions. Comment on the relationship of the
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Unformatted text preview: change in root-locus shape to the addition of the zero in (b) and the addition of the poles in various locations in (c)-(e) to the transfer function given in (a). 2. For a time-delay unity feedback system with feedforward transfer function given by s e s K s G 4 1 100 2 , find the stability range for gain K. 3. Plot root-locus diagrams for the following non-minimum phase systems: (a) 4 2 1 s s s K s G , and (b) 4 2 1 s s s K s G ....
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