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Fusion in brief The Future of Fusio linear system is given Ls) - The tranffer function...

Question:

Fusion in brief The Future of Fusio linear system is given Ls) - The tranffer function of a simplified below: 60 Folf) 4527 2

Fusion in brief The Future of Fusio linear system is given Ls) - The tranffer function of a simplified below: 60 Folf) 4527 28.85 +324 Plst the roots of the characteristic equation, @ What is the nature of damping and why? @ The system is given a step command of Magnitude 30N, develop expression for the response xelt), and find its value at time t= 0.28 sec @ calculate the time Constant, ?, settling time, ts, fer 51. Criterion and MPO and steady state value, Xe(ss). @ Sketch the Response and mark steady state response and respons at t= 0.28 se on the plat. The input signal to an electric Motor is a step tunction, KILA) - 45 ze ted the treaty State value of F

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roots of the quafion are Answer: 60 Giren Xels) 2 Folso 48728.85 +324 15 S +1.25 +81 8 . 15 1 88 547.2 5781 The qiven systemШ Imaginary 12 -10- (-3.6, 8,249) 5 -15 -10 -5 0 Real --5 (Е3.6, — 8.249) -10(6 ) Ę : 0.4 It is under damped system because the damping ration f! Given fact: 304 Forssa 30 S 80 Xecsl 60 A8428.95+324 XecNote: A IS A at cosbt 1 L -at sinkt Sta (Stay462 b (staj+62 e § 5.56 (5+ 3.6) 1s (5+36) (GRA) -3-64 (5+3.614 (668.00) tcosIN-1 peak overshool (Mp) : 1000 71X0.4117-0.21% 100 Mp : 25, 383/ steady state Value Xess at sXc (S) SO ht S-0 15 s?+ 7.25781LIII x(t) 6 2 4 Time= X(t) (0.28, 6.273) -6 (0.833, 5.263) FG 2 4 Tiras

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