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Islamic University of Gaza Faculty of Engineering Electrical Engineering Department EELE 5413 — Summer Semester 2018 Control Systems Design Instructor, Dr. Moayed Almobaied, Ph.D. Control & Automation — SS - — = ee ee ee ee ee — Mid-Term Exam April 10,2018 Exam Time 8:00—9:30, 9:30-11:000 Closed Book Name: Sonabel N.El-Haddacl 2201405% _ Q1) (15 pts.) For the following unit feedback system Ris) + Ets) . Cis) atl | ~ Gis) | - ‘ _-«K(S+6) wity= S(S+1)(S+4) Using Routh-Hurwitz, determine the range of K to ensure stability. C gh 7 E Ts) = (S) - _K (Sr6) ee 4a G6) — SESALI GE K SSH6) S75 57, WN) 46k Ch. eq. = Sy 5S* 4 U+k)s + 6K | 5 5 bK O | st 6K-S(Utk) og © Som (1) x @) | »| 5 -_ 5 Yano ap . poy A 5K oO oOo 0 the (ant “¢ To — ! yo 3 Od KZ. By I} 6K-20-5k » = ; — K-20 ¢ C 1 Cosine. jw -Coms aes . S =34.45) ge K<20 >) 4 ( Poles ed, K=2e = 6K >O = K>O 32 | i -L. yolér= jet-399 é | + | Gfom Ge. en, f (1) Scanned by TapScanner