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# exam22 - Exam#2 EEL 3657(Spring 2003 Name SS Please show...

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Unformatted text preview: Exam #2 EEL 3657 (Spring 2003) Name. SS#. Please show all work for partial credit. (100 points total) Problem 1. (50 points) For a unity feedback system shown blow, R(S) + 5(5) C( ) I V“ K — , sketch the root locus and ﬁnd: s(s + 2,)2 l). asymptotes; 2). break-away/break-in points; 3). jw axis crossings; 4). K value at the jw axis crossings. where G(s) = D. 077‘: 2—0 -3— 2). %':’:o \$ 35l+8\$+ “(:0 S: 9. , - 3; - 3). CE : 33+ trs +4“ p0 9:3 ; *ij—wal-kjtf'w‘i'kw ‘4’ 1'HCT'O N: 0/ )_ I :— ‘ +4w=o lg _ .. -0} 90 3"" MB " 5:36 (1 dip .K ,6. 1”- k=té. ﬁrm“ Problem 2. (50 points) The block diagram of a linear control system is shown: 1 _ _K(s+a) (s+3)(s+6)’ Elm—1’ G‘(S)_ s where G p (s) = (Ge (3) is a PI Controller) 1). Let a=0.1, ﬁnd the dominate closed-loop poles with the d ping ratio 5 = 0.707. 2). Find K at the above determined poles. 3). What is the closed-loop steady-state error for a unit step i put? ...
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exam22 - Exam#2 EEL 3657(Spring 2003 Name SS Please show...

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