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Unformatted text preview: Dr. Atilla Dogan MAE 4310 Automatic Control Fall 2006 Homework5 (Due date: Thursday, Oct 19, 2006) Textbook Readings: Sections 57, 59, Examples A515, A516, A518, A523, A525 1. Consider the satellite attitude control system below K 1 J s 2 R(s) C(s) Show that the output of this system exhibits continued oscillations by determining the damp ing ratio of the closed loop system. This system can be stabilized by the following control structure K J s R(s) C(s) 1 s K h If K/J = 4, what value of K h will yield the damping ratio to be 0.6. 2. Determine the range of K for stability of a unity feedback control system whose openloop transfer function is G ( s ) = K ( s 1) ( s + 2)( s 2 + 2 s + 2) You should use RouthHurwitz Stability Criterion to answer this question. 3. Consider the unityfeedback control system with the following openloop transfer function. G ( s ) = 10 s ( s 1)( s + 3) Determine the stability of the closed loop system by using RouthHurwitz Method. 4. Consider the following characteristic polynomial s 3 + (4 + K ) s 2 + 6 s + 12 For what values of K does this polynomial have roots with negative real parts? Use Routh Hurwitz Method....
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This note was uploaded on 06/15/2009 for the course MAE 4310 taught by Professor Staff during the Fall '08 term at UT Arlington.
 Fall '08
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