test2-sols-spring11

# test2-sols-spring11 - EEL‘3657 Test#‘2 In Class — Apr...

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Unformatted text preview: EEL‘3657 Test #‘2 '- In Class — Apr 4 1. For a second order underdamped system whose characteristic equation is given by J32 + 3.3 + K = 0, how does 'one decrease the damping ratio Without affecting the settling time. (30) ‘ 7 «w/ a) 5 ' x a 73.. M x 3? //j @ 3* 9» he; i. A a ' @ Imam /< rip TQM/L “71 2. For a type 2 system, is the steady—state error to a ramp input (a) zero, or (b) constant other than zero, or (c) inﬁnite? Explain. (10) 53:1 / 1y: ﬁll)? ffﬂj:po WW2. ﬂag/7:10 My 3. Consider s4 + K33 + 32 + 8 + 1 r: 0 to be the characteristic equation for a system. Is the system stable? If so, ﬁnd the range of K for stability. If not, explain why. (20) 57" /* ./-/ a #21 7.03:) K7/@ 5; 0" " K 7 0 " I; /'7/ l '. . by Jr?o J /‘——- K /a 0 (- - A/( it) t “"9 /<Z—~/<7é/<0 é2< /z——/ @ W0 wk of 2 EJMMw WWW @ /40M74/%7/k 474/6m 4. Draw the exact root locus (with K as a parameter).er a unity feedback system whose K (3 +1) necessary to obtain the general shape of the root locus. (30) feed—forward transfer function is given by G (s) 2 3. Compute what you feel is ‘ 3 5am; f / Z wim/y/o/vs Pia/779 "/ia ngbJ/Wy/JO/M/LZP/ 5. When can a system with stable openmloop transfer function given by G (s) : g0 unstable under negative feedback when gain K is increased._ (10) l < 0/ ﬂvf/f/W 0L ﬁmv—MM/mm [WW ...
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test2-sols-spring11 - EEL‘3657 Test#‘2 In Class — Apr...

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