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# exam1so - Exam#1 EEL 3657 ‘ Na e goléﬂms S i —_—...

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Unformatted text preview: Exam #1 EEL 3657 ‘ Na e: goléﬂms S#: i —_+_—________. Please show all work for partial credit. (100 points total) l Problem 1. (40 points) In the diagram shown, the dyn cs of the block labeled “Plant” are described by the diﬁ‘erential equations 2 dy(t) dt x(t) = 3 j y(t)dt 1). Determine the transfer function from u to y. (20 points) 2). Using Mason’s rule, or otherwise, determine the tr sfer function from r to y. (20 points) 0.5 + + +u r . —— o o E y ‘ PI , ' Problem 2. (60 points) The block diagram of a linear cont 1 system is shown: R+ C o 24 8(53 +10s2 +35s + 50) ' 1). Find the closed-loop transfer ﬁinction. (15 points) 2). Determine the characteristic equation. (10 points) 3 3). Use the Routh criterion to determine whether or not rl e closed-loop system is [table (20 points) 4). Ich(s)=K, for what range of K is the closed-100p syst stable? (15 points) + x(t) = u(t) Where Gc(s) = 1, H(s) = 1, Gp(s) = mmmmnémllmgimmmlimmunmmm3.1mm,“ m, r, 1....” with, .43”: .r ,, a Elm/rim. .r, it - tub Alumni ll .4 km 17w),me I. I) 23/5) Jr XOR—Um) _ __ 3‘U) X05) — 8 g Spa) : LU) = ’ Hts) 1312f, 3 l‘ . . ‘ ) EMMA PM ' JSSG’M “\$64) WT): -— (HM-s) (arcs) Ugﬁ [WMM‘S WLK, o-S‘ GY C5) = “0 + T) "(5) v (05 T05 )1 1+ CH’mB) 6P3) — , ZK5SZ¥3+3 H \$4+tosg+ 5L1» DSTNf 5% (553+ 3:57} tbs +71% =0 _ 5"? l M’ 7"} No 53?“ aha/A623 v1» «VLQ “Bd- 5} 10m 0‘ “'Snaﬂrbﬁzmcm 37‘ 3° 7% 8] Wm I" CS . ...
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exam1so - Exam#1 EEL 3657 ‘ Na e goléﬂms S i —_—...

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