you.
- Please Show All Steps Clearly Will Thumbs Up If Correct Thank You 1 (80.73 KiB) Viewed 13 times
Please show all steps clearly. will thumbs up if correct. thank you.
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answerhappygod
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Please show all steps clearly. will thumbs up if correct. thank you.
Please show all steps clearly. will thumbs up if correct. thank
you.
The transfer functions of the control system shown in Figure Q1a are as follows: K Gc(s) = (s + 3)2 = (s + 5) Gp(s) = (s + 1)(s + 4) , and H(S) = 1. R(S) r(t) + E(S) e(t) Gc(s) Gp(s) C(s). c(t) H(S) Figure Q1a (b) Sketch the root-locus diagram, including any asymptotes. Indicate the point of instability and the positions of small positive values of K. Comment on the nature of system damping for 0 <K SOO. [8 marks] (c) Derive an expression for the open-loop frequency response of the system with respect to K for W = 0 and w → 0 and hence, show a simple Nyquist sketch of the open-loop response of the system. [6 marks]
you.
The transfer functions of the control system shown in Figure Q1a are as follows: K Gc(s) = (s + 3)2 = (s + 5) Gp(s) = (s + 1)(s + 4) , and H(S) = 1. R(S) r(t) + E(S) e(t) Gc(s) Gp(s) C(s). c(t) H(S) Figure Q1a (b) Sketch the root-locus diagram, including any asymptotes. Indicate the point of instability and the positions of small positive values of K. Comment on the nature of system damping for 0 <K SOO. [8 marks] (c) Derive an expression for the open-loop frequency response of the system with respect to K for W = 0 and w → 0 and hence, show a simple Nyquist sketch of the open-loop response of the system. [6 marks]