2
EEE588 Final, Spring 2010
Rules: One 8.5 11 sheet permitted, calculators permitted, closed books.
A.A. Rodriguez
GWC 352, 965-3712
Problem 1 (Small Gain Theorem)
3(s+ 2 )
1
Consider a dynamical system T = s2 +2s3 in a positive feedback loop with = 1.658
EEE588 Exam: Partial Solutions A.A. Rodriguez
Rules: One 8.5" x 11 sheet permitted, calculators optional. GWC 352, 965-3712
(1) Feedback System SSR. Consider a classical negative feedback loop with plant P =
[Ap,Bp, Op] and controller K 2 [Am Bk, Ck]. Det
1
EEE588 Exam 1, Spring 2013
A.A. Rodriguez
Rules: Calculator and one 8.5 11 sheet permitted, closed books/notes, open minds. GWC 352, 965-3712
Problem 1 (Small Gain Theorem)
500
in a negative feedback loop with = 15 . Is the closed loop
Consider a dynami
1
EEE588 Exam, Fall 2014
Rules: Calculator, open notes, closed books, open minds.
A.A. Rodriguez
GWC 352, 965-3712
Problem 1 (Small Gain Theorem)
1
in a negative feedback loop with = 0.5. Is the closed
(a) Consider a dynamical system T = s2 +2(0.01)s+1
lo
1
EEE588 Exam 1, Spring 2013
A.A. Rodriguez
Rules: Calculator and one 8.5 11 sheet permitted, closed books/notes, open minds. GWC 352, 965-3712
Problem 1 (Small Gain Theorem)
500
Consider a dynamical system T = (s+1)(s+50) in a negative feedback loop with
2
EEE480 Exam 1, Spring 2010
Rules: No calculators, closed notes/books, open minds.
A.A. Rodriguez
GWC 352, 965-3712
[
][
]3 [
] [ 4 ] [ 6 ]5 [ 8 ]
Problem 1 (Analysis of a Feedback System)
1
100
s+104
10 s
10
10 s
Consider the feedback system dened by th
20
EEE588 Final Exam, A.A. Rodriguez
Rules: One 8.5 x 11" sheet, calculator, open minds. GWC 352, 9653712
1. Problem (Small Gain Theorem)
(a) Precisely state the small gain theorem.
(b) Explain why the small gain condition is sufficient for closed loop st
1
EEE588 Final Exam, Fall 2011
Rules: Calculator permitted, no notes, closed books.
A.A. Rodriguez
GWC 352, 965-3712
Problem 1 (Small Gain Theorem)
1
Consider a dynamical system T = s50 in a negative feedback loop with = 25 . Does the loop satisfy
+1
the
EEE588 Final Exam, Spring 2007
Rules: One 8.5 11 sheet, calculator, open minds.
A.A. Rodriguez
GWC 352, 965-3712
1. Problem (Small Gain Theorem)
(a) Precisely state the small gain theorem.
(b) Explain why the small gain condition is sucient for closed loo
EEE588 Home Exam, Spring 2007
Rules: Due in 2 weeks in class. No extensions.
A.A. Rodriguez
GWC 352, 965-3712
Problem 1 (Stability Robustness Analysis - Delay Margin)
Consider the LTI plant P = Po es where Po = 1 and > 0. Consider the nominal controller K
EEE588 FINAL, A.A. Rodriguez
Rules: One 8.5" x 11 sheet permitted, calculators optional. GWC 352, 965-3712
(1) Feedback System SSR. Consider a classical negative feedback loop with plant P =
[AP,BP, 0p] and controller K 2 [Ah Bk, 0],]. Determine a state
EEE588 Exam A.A. Rodriguez
Rules: One 8.5 x 11 sheet permitted, calculators optional. GWC 352, 965-3712
(1) Feedback System SSR. Consider a classical negative feedback loop with plant P =
[Ap,Bp, Op] and controller K 2 [Am Bk, Ck]. Determine a state spac