thanks.
- Please Write C Explicitly The Others Can Be Simply Written Thanks 1 (93.21 KiB) Viewed 9 times
Please write (c) explicitly, the others can be simply written thanks.
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answerhappygod
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Please write (c) explicitly, the others can be simply written thanks.
Please write (c) explicitly, the others can be simply written
thanks.
Question 4 (16 marks) Consider the system shown in Fig. Q4. Assume N(s) = 0, the block transfer functions are 15 Ge(s) = K, G(s) = H(s) = 1. (s+5)(s+7)' Ta(s) Controller Process E,(s) R(s) G.(s) G(s) N(s) Sensor H(s) Fig. Q4 Y(s) (a) Obtain the transfer function T₁(s): = and determine the steady-state error for a unit step R(s) input (R (s) = T₁(s) = 0, recall E (s) = R(s) — Y(s)) (5) Y(s) = (b) Obtain the transfer function T₂ (s) and determine the steady-state error for a unit step disturbance (R (s) = 0, T₁ (s) = ²) (5) (c) Use the following graph to determine the range of K for which the percent overshoot of the system response due to a unit step input will not exceed 5%. Sketch the desired root locations in complex plane. (6) 100 5.00 90 4.80 80 4.60 Percent overshoot 70 4.40 60 4.20 Tp 50 4.00 40 3.80 30 3.60 20 3.40 10 3.20 0 3.00 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 Damping ratio, Percent overshoot Y(s)
thanks.
Question 4 (16 marks) Consider the system shown in Fig. Q4. Assume N(s) = 0, the block transfer functions are 15 Ge(s) = K, G(s) = H(s) = 1. (s+5)(s+7)' Ta(s) Controller Process E,(s) R(s) G.(s) G(s) N(s) Sensor H(s) Fig. Q4 Y(s) (a) Obtain the transfer function T₁(s): = and determine the steady-state error for a unit step R(s) input (R (s) = T₁(s) = 0, recall E (s) = R(s) — Y(s)) (5) Y(s) = (b) Obtain the transfer function T₂ (s) and determine the steady-state error for a unit step disturbance (R (s) = 0, T₁ (s) = ²) (5) (c) Use the following graph to determine the range of K for which the percent overshoot of the system response due to a unit step input will not exceed 5%. Sketch the desired root locations in complex plane. (6) 100 5.00 90 4.80 80 4.60 Percent overshoot 70 4.40 60 4.20 Tp 50 4.00 40 3.80 30 3.60 20 3.40 10 3.20 0 3.00 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 Damping ratio, Percent overshoot Y(s)