We are now interested in studying the behavior of the rotating valve plate shaft on an ETC only. This is to evaluate the dynan1ic response of the valve plate as an input torque is given to its shaft. The valve-plate shaft can be modeled as shown in Figure 3.   (a) Find the transfer function of G(s) = θ(s)/r(s) , then evaluate the stability of thesystem by identifying its poles and zeros. Plot the poles and zeros in an s-plane and characterize the step response damping type. (b) To design a responsive throttle response, the overshoot and settling time need to be set at a certain level. Considering that J and D of our system in Figure 3 can be modified, find the values of J and D to yield 20% overshoot and a settling time of 2 seconds.

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We are now interested in studying the behavior of the rotating valve plate shaft on an ETC

only. This is to evaluate the dynan1ic response of the valve plate as an input torque is given to

its shaft. The valve-plate shaft can be modeled as shown in Figure 3.

 

(a) Find the transfer function of G(s) = θ(s)/r(s) , then evaluate the stability of thesystem by identifying its poles and zeros. Plot the poles and zeros in an s-plane and characterize the step response damping type.

(b) To design a responsive throttle response, the overshoot and settling time need to be set

at a certain level. Considering that J and D of our system in Figure 3 can be modified,

find the values of J and D to yield 20% overshoot and a settling time of 2 seconds.

ІНННЕ
oooo
K = 5 N-m/rad
J = 3kg-m²
T(1) 0(1)
HOD
J
Figure 3
D
BACAA!
D=0.5 N-m-s/rad
Transcribed Image Text:ІНННЕ oooo K = 5 N-m/rad J = 3kg-m² T(1) 0(1) HOD J Figure 3 D BACAA! D=0.5 N-m-s/rad
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