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With explanation if possible, please 2. Design a lag compensator of the system in Figure 2 such that the static velocity error constant Kv is 40se ithout appreciably changing the original location (s...
7. Consider the following closed-loop system in which G(s5 Design a lag compensator, Ge( steady-s...
7. Consider the following closed-loop system in which G(s5 Design a lag compensator, Ge( steady-state error due to a ramp input is 2% of the velocity of the ramp and the phase margin is 45°.
7. Consider the following closed-loop system in which G(s5 Design a lag compensator, Ge( steady-state error due to a ramp input is 2% of the velocity of the ramp and the phase margin is 45°.
Problem 4 Suppose we have the system shown below operating at 15% overshoot. G(s)- (G) (s +2)%s +5%s+7) Use time domain techniques to design a compensator (and find K) so the appropriate static e...
Problem 4 Suppose we have the system shown below operating at 15% overshoot. G(s)- (G) (s +2)%s +5%s+7) Use time domain techniques to design a compensator (and find K) so the appropriate static error constant is 20 without appreciably changing the dominant poles of the uncompensated system. There can be no zero pole cancellations. Do not change the dominant poles of the system.
Problem 4 Suppose we have the system shown below operating at 15% overshoot. G(s)- (G) (s +2)%s...
Please answer this question showing all the steps. Problem 1 Suppose we have the system shown below operating at 1 0% overshoot. Go) +s+2)(+1 52 05123 120 Design changing the dominant pole locati...
Please answer this question showing all the steps.
Problem 1 Suppose we have the system shown below operating at 1 0% overshoot. Go) +s+2)(+1 52 05123 120 Design changing the dominant pole locations of the uncompensated system a lag compensator so the appropriate static error constant is 5 without appreciably
Problem 1 Suppose we have the system shown below operating at 1 0% overshoot. Go) +s+2)(+1 52 05123 120 Design changing the dominant pole locations of the uncompensated system a...
R(S) + G(s) Figure 1. Block diagram Q3. Design a lag compensator so that the system...
R(S) + G(s) Figure 1. Block diagram Q3. Design a lag compensator so that the system of Figure 1, where K(s+4) G(s)= (s+2)(s +6)(s+8) Operates with a 45° phase margin and a static error constant of 100 (i.e. k, = lim G(s)).
4. Referring to the closed-loop system shown as below, design a lead compensator Ge(s) such that...
4. Referring to the closed-loop system shown as below, design a lead compensator Ge(s) such that the phase-margin is 45o, gain margin is not less than 8dB, and the static velocity error constant Ky is 4.0 sec1. Plot unit-step and unit-ramp response curves of the compensated system with MATLAB.
Consider the automobile cruise-control system shown below: Engine ActuatorCarburetor 0.833 and load 40 3s +1 Compensator R(s)E(s) Ge(s) s +1 -t e(t) Sensor 0.03 1) Derive the closed-loop transfer fun...
Consider the automobile cruise-control system shown below: Engine ActuatorCarburetor 0.833 and load 40 3s +1 Compensator R(s)E(s) Ge(s) s +1 -t e(t) Sensor 0.03 1) Derive the closed-loop transfer function of V(s)/R(s) when Gc(s)-1 2) Derive the closed-loop transfer function of E(s)/R(s) when Ge(s)-1 3) Plot the time history of the error e(t) of the closed-loop system when r(t) is a unit step input. 4) Plot the root-loci of the uncompensated system (when Gc(s)-1). Mark the closed-loop complex poles on...
Lag Compensator Design Using Root-Locus 2. Consider the unity feedback system in Figure 1 for G(s...
Lag Compensator Design Using Root-Locus 2. Consider the unity feedback system in Figure 1 for G(s)- s(s+3(s6) Design a lag compensation to meet the following specifications The step response settling time is to be less than 5 sec. . The step response overshoot is to be less than 17% . The steady-state error to a unit ramp input must not exceed 10%. Dynamic specifications (overshoot and settling time) can be met using proportional feedback, but a lag compensator is needed...
1. a. Plot the root loci for the unity-feedback system whose feed-forward transfer function is: G(s)...
1. a. Plot the root loci for the unity-feedback system whose feed-forward transfer function is: G(s) = - s(s? + 4s + 8) If the value of K is set 8, where are the closed loop poles located? (5 Points) Hint: Non-dominant pole is an integer. b. Outline the procedure for design of a lag compensator (on the forward path) that cuts down the rise and settling times to half of the dominant second order system in 1. a. (3...
5.4 Consider the system with a required steady-state error of 20%, K(s + 2) s(s +3s + 5) and an a...
5.4 Consider the system with a required steady-state error of 20%, K(s + 2) s(s +3s + 5) and an adjustable PI controller zero location. KL(s) Show that the corresponding closed-loop characteristic equation is given by s+ a Next, rewrite the equation as 1 + KG(s0 where K K K.a is constant, and Gf(s) is a function of s, and ex amine the effect of shifting the zero on the closed-loop poles. (a) Design the system for a dominant second-order...
The parameters are as follows k=10 a=0.50 b=0.3 c=0.6 d=9 w_1=12 w_2=15 Kv=30 A feedback control system (illustrated in Figure 1) needs to be designed such that the closed-loop system is asymptotical...
The parameters are as follows
k=10 a=0.50 b=0.3 c=0.6 d=9 w_1=12 w_2=15
Kv=30
A feedback control system (illustrated in Figure 1) needs to be
designed such that the closed-loop system is asymptotically stable
and such that the following design criteria are met:
the gain crossover frequency wc should be between
w1 and w2.
the steady-state error should be zero in response to a unit
step reference.
the velocity constant should be greater than Kv (in
other words, the steady-state unit...
7. Consider the following closed-loop system in which G(s5 Design a lag compensator, Ge( steady-state error due to a ramp input is 2% of the velocity of the ramp and the phase margin is 45°.
7. Consider the following closed-loop system in which G(s5 Design a lag compensator, Ge( steady-state error due to a ramp input is 2% of the velocity of the ramp and the phase margin is 45°.
Problem 4 Suppose we have the system shown below operating at 15% overshoot. G(s)- (G) (s +2)%s +5%s+7) Use time domain techniques to design a compensator (and find K) so the appropriate static error constant is 20 without appreciably changing the dominant poles of the uncompensated system. There can be no zero pole cancellations. Do not change the dominant poles of the system.
Problem 4 Suppose we have the system shown below operating at 15% overshoot. G(s)- (G) (s +2)%s...
Please answer this question showing all the steps.
Problem 1 Suppose we have the system shown below operating at 1 0% overshoot. Go) +s+2)(+1 52 05123 120 Design changing the dominant pole locations of the uncompensated system a lag compensator so the appropriate static error constant is 5 without appreciably
Problem 1 Suppose we have the system shown below operating at 1 0% overshoot. Go) +s+2)(+1 52 05123 120 Design changing the dominant pole locations of the uncompensated system a...
R(S) + G(s) Figure 1. Block diagram Q3. Design a lag compensator so that the system of Figure 1, where K(s+4) G(s)= (s+2)(s +6)(s+8) Operates with a 45° phase margin and a static error constant of 100 (i.e. k, = lim G(s)).
4. Referring to the closed-loop system shown as below, design a lead compensator Ge(s) such that the phase-margin is 45o, gain margin is not less than 8dB, and the static velocity error constant Ky is 4.0 sec1. Plot unit-step and unit-ramp response curves of the compensated system with MATLAB.
Consider the automobile cruise-control system shown below: Engine ActuatorCarburetor 0.833 and load 40 3s +1 Compensator R(s)E(s) Ge(s) s +1 -t e(t) Sensor 0.03 1) Derive the closed-loop transfer function of V(s)/R(s) when Gc(s)-1 2) Derive the closed-loop transfer function of E(s)/R(s) when Ge(s)-1 3) Plot the time history of the error e(t) of the closed-loop system when r(t) is a unit step input. 4) Plot the root-loci of the uncompensated system (when Gc(s)-1). Mark the closed-loop complex poles on...
Lag Compensator Design Using Root-Locus 2. Consider the unity feedback system in Figure 1 for G(s)- s(s+3(s6) Design a lag compensation to meet the following specifications The step response settling time is to be less than 5 sec. . The step response overshoot is to be less than 17% . The steady-state error to a unit ramp input must not exceed 10%. Dynamic specifications (overshoot and settling time) can be met using proportional feedback, but a lag compensator is needed...
1. a. Plot the root loci for the unity-feedback system whose feed-forward transfer function is: G(s) = - s(s? + 4s + 8) If the value of K is set 8, where are the closed loop poles located? (5 Points) Hint: Non-dominant pole is an integer. b. Outline the procedure for design of a lag compensator (on the forward path) that cuts down the rise and settling times to half of the dominant second order system in 1. a. (3...
5.4 Consider the system with a required steady-state error of 20%, K(s + 2) s(s +3s + 5) and an adjustable PI controller zero location. KL(s) Show that the corresponding closed-loop characteristic equation is given by s+ a Next, rewrite the equation as 1 + KG(s0 where K K K.a is constant, and Gf(s) is a function of s, and ex amine the effect of shifting the zero on the closed-loop poles. (a) Design the system for a dominant second-order...
The parameters are as follows
k=10 a=0.50 b=0.3 c=0.6 d=9 w_1=12 w_2=15
Kv=30
A feedback control system (illustrated in Figure 1) needs to be
designed such that the closed-loop system is asymptotically stable
and such that the following design criteria are met:
the gain crossover frequency wc should be between
w1 and w2.
the steady-state error should be zero in response to a unit
step reference.
the velocity constant should be greater than Kv (in
other words, the steady-state unit...
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