- Question 2 For The System Seen In Figure Q2 Below C S R S G G G3 G4 H H Figure Q2 A Using Mason S Rule Or Ano 1 (81.61 KiB) Viewed 13 times
Question 2 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) G₁G₂G₂G₁ = (12 marks) 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. ii) 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) = /2.) (4 marks) (4 marks)