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# K 1 s s d s g s 2 s s2 derivation w r y ds gs u v

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Unformatted text preview: = . k 1 s s+ D (s ) = , G (s ) = 2 . s s+2 derivation? w r y D(s) − G(s) u v Solution: The transfer function is 22. For the system in the previous problem, ﬁnd the range of control gain k for which the following speciﬁcations are satisﬁed: The rise time is less than 2 s, and the settling time is less than 3 s. DG k H ( s) = 1 + DG = s 2 + 2s + k 23. Which of the following systems has/have an impulse response that can be roughly sketched as shown 22. For the on the right? system in the previous problem, ﬁnd the range of control gain k for which the following speciﬁcations are satisﬁed: The rise time is less than 2 s, and the settling time is less than 3 s. Solutions: Using the approximate formula, tr = ts = 1.8 !n 4.6 2 3 !n 0.9, 1.5. 2 5 =16 1.5. 25. How many roots of the following polynomial equation are in the LHP? Thus, there is no control gain k that meets the speciﬁcations . s5 + 3s4 + 5s3 + 7s2 + 9s + 1 = 0 23. Which of the following systems has/have an impulse response that can be roughly sketched as shown on the r...
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## This note was uploaded on 01/27/2014 for the course MAE 171A taught by Professor Idan during the Winter '09 term at UCLA.

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