A speed control for a gasoline engine is shown in Fig. 5 below. R(s) + Throttle ● s+1 " 1 0.4s +1 S (b) With the smallest gain satisfying part (a): Torque Figure 5 (a) Determine the necessary gain K if the steady-state error is required to be less than 10% of R the reference input R(s) = where R is a positive constant. K 3s +1 Y(s) determine closed-loop stability of this system using Nyquist criterion (generate Nyquist plot with MATLAB determine gain and phase margins of the system using Nyquist plot What is the value of K that destabilizes this system (if such exists)?
A speed control for a gasoline engine is shown in Fig. 5 below. R(s) + Throttle ● s+1 " 1 0.4s +1 S (b) With the smallest gain satisfying part (a): Torque Figure 5 (a) Determine the necessary gain K if the steady-state error is required to be less than 10% of R the reference input R(s) = where R is a positive constant. K 3s +1 Y(s) determine closed-loop stability of this system using Nyquist criterion (generate Nyquist plot with MATLAB determine gain and phase margins of the system using Nyquist plot What is the value of K that destabilizes this system (if such exists)?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:A speed control for a gasoline engine is shown in Fig. 5 below.
R(s) +
Throttle
●
●
1
s+1
9
1
0.4s +1
S
(b) With the smallest gain satisfying part (a):
Figure 5
(a) Determine the necessary gain K if the steady-state error is required to be less than 10% of
R
the reference input R(s) = where R is a positive constant.
Torque
K
3s +1
Y(s)
determine closed-loop stability of this system using Nyquist criterion (generate
Nyquist plot with MATLAB
determine gain and phase margins of the system using Nyquist plot
What is the value of K that destabilizes this system (if such exists)?
NOTE:
part (b) can be solved graphically by clicking on the appropriate points on the generated graph
make sure that you attach the Nyquist plot with shown clicked points
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