For the system seen in Figure Q2 below: C(s) R(s) G₁ G₂ G3 G4 H₂ H₁ Figure Q2 a) Using Mason's rule, or another technique, show that its transfer function is: R(s) G₁G₂G₂G4 C(s) 1+G₁G₂H₁ +G₂G₂H₂+G₁G₂G₂G4 b) The above system was modelled and found to have the transfer function R(s) 12K = C(s) s³ +85² +6s+12K i) Use the Routh Array to determine the range of gains K for which the system is stable. Use the Final Value Theorem to find the steady-state output R(t) if K-5 and the input is a ramp of slope 2. (You are given that if f(t) = t, then F(s) = = .) ii)

For the system seen in Figure Q2 below: C(s) R(s) G₁ G₂ G3 G4 H₂ H₁ Figure Q2 a) Using Mason's rule, or another technique, show that its transfer function is: R(s) G₁G₂G₂G4 C(s) 1+G₁G₂H₁ +G₂G₂H₂+G₁G₂G₂G4 b) The above system was modelled and found to have the transfer function R(s) 12K = C(s) s³ +85² +6s+12K i) Use the Routh Array to determine the range of gains K for which the system is stable. Use the Final Value Theorem to find the steady-state output R(t) if K-5 and the input is a ramp of slope 2. (You are given that if f(t) = t, then F(s) = = .) ii)

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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