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1. How many lead compensator designs will meet the transient response specifications of a system? 2. What differences d...
2) Problem 9.18 For Part (b) design a PD compensator instead of a lead compensator 18....
2) Problem 9.18 For Part (b) design a PD compensator instead of a lead compensator 18. Consider the unity feedback system of Figure P9.1, with K GS (s +3)(s + 5) a. Show that the system cannot operate with a settling time of 2/3 second and a percent over- shoot of 1.5 % with a simple gain adjustment. b. Design a lead compensator so that the system meets the transient response characteristics of Part a. Specify the compensator's pole, zero,...
3. Lead Comensator Design Using Root-Locus Consider the system in Figure 1 for G(s) -1/s* Design ...
3. Lead Comensator Design Using Root-Locus Consider the system in Figure 1 for G(s) -1/s* Design a lead compensator D(s)-K (s+ z)/(s+ p) to meet the specifications: tR 0.636 s , MP 5 % . We choose z1. Find K and jp Y(s) R(S) Figure 1. Unity Feedback System
3. Lead Comensator Design Using Root-Locus Consider the system in Figure 1 for G(s) -1/s* Design a lead compensator D(s)-K (s+ z)/(s+ p) to meet the specifications: tR 0.636 s ,...
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...
Problem 2 Consider the following feedback system: where Design a lead compensator C s such that,...
Problem 2 Consider the following feedback system: where Design a lead compensator C s such that, for a step response it yields %10 overshoot with threefold reduction in settling time. Show your work, clearly identity and explain the choice of poles, zeroes and gain of the compensator C(s). Use Matlab rltool.
1. Consider a unity feedback control system with the transfer function G(s) = 1/[s(s+ 2)] in...
1. Consider a unity feedback control system with the transfer function G(s) = 1/[s(s+ 2)] in the forward path. (a) Design a proportional controller that yields a stable system with percent overshoot less that 5% for the step input (b) Find settling time and peak time of the closed-loop system designed in part (a); (c) Design a PD compensator that reduces the settling time computed in (b) by a factor of 4 while keeping the percent overshoot less that 5%...
urgent! II Lead-Lag Controller Design A plant has the open-loop transfer function with unity feedback: 20(s +1) G, (s) s(10s +D(0.1258 +D(0.05s +1)(0.02s +1) Design a phase lag-lead compensator th...
urgent!
II Lead-Lag Controller Design A plant has the open-loop transfer function with unity feedback: 20(s +1) G, (s) s(10s +D(0.1258 +D(0.05s +1)(0.02s +1) Design a phase lag-lead compensator that satisfies the following specifications must by the compensated system 1. The steady-state error for a unit ramp input must be 0.002; 2. The compensated phase margin must be approximately 48; must be approximately 25 rad/sec.
II Lead-Lag Controller Design A plant has the open-loop transfer function with unity feedback: 20(s...
tions 11 and 12: Performance specifications of the system shown in Figure 4 are satisfied ifclo poles are located ats42j Design a lead compensator (find K and a) of the form Kso that the specifi...
tions 11 and 12: Performance specifications of the system shown in Figure 4 are satisfied ifclo poles are located ats42j Design a lead compensator (find K and a) of the form Kso that the specification is met. s+20 Which of the following values of z meet the specification? - 3.33 C. :-2.86 D. 2-423 E. None of the above 2) Which of the following values of K meet the specification? A. K- 39.0 B. K-140 C. K-78.O D. K-280 E....
3.) The designs in parts 1.) and 2.) where found to require an actuator signal that...
3.) The designs in parts 1.) and 2.) where found to require an actuator signal that is too large. To solve this problem a lead/lag compensator of the form D(s) 37.5375 s +45 +525s+0.0325 was used (a) Use Matlab to plot the root-locus with the lead/lag compensator indicating the locations and values of the dominant closed-loop poles. (b) Use Matlab to plot the step response. (c) What are the rise-time, percent-overshoot, settling-time, and steady-state error in response to a unit-step...
Question 2 a) Consider the control system in Figure 2(a). Determine the transient response characteristics (rise...
Question 2 a) Consider the control system in Figure 2(a). Determine the transient response characteristics (rise time, peak time, maximum overshoot and settling time) and the steady state error for the system. (2 marks) b) To improve the relative stability, the tachometer feedback are employed as shown in Figure 2b). i Determine the value in so that the damping ratio of the system is 0.5. (1 % marks) From the result obtained in , evaluate the transient response characteristics (rise...
Given the system above, determine the zero location for a lead/lag compensator so the system meets the desired responses: Settles at about 2 seconds Has a percent overshoot of about 50% The plant ha...
Given the system above, determine the zero location for a
lead/lag compensator so the system meets the desired responses:
Settles at about 2 seconds
Has a percent overshoot of about 50%
The plant has a transfer function of: Gp = (s+14) / (
(s+0)*(s+4) )
Assume that the pole of the lead/lag compensator has a pole at
s = -1.
QUESTION 5 1- GC(s) Gp(s) Y(S) R(S) Given the system above, determine the zero location for a lead/lag compensator so...
2) Problem 9.18 For Part (b) design a PD compensator instead of a lead compensator 18. Consider the unity feedback system of Figure P9.1, with K GS (s +3)(s + 5) a. Show that the system cannot operate with a settling time of 2/3 second and a percent over- shoot of 1.5 % with a simple gain adjustment. b. Design a lead compensator so that the system meets the transient response characteristics of Part a. Specify the compensator's pole, zero,...
3. Lead Comensator Design Using Root-Locus Consider the system in Figure 1 for G(s) -1/s* Design a lead compensator D(s)-K (s+ z)/(s+ p) to meet the specifications: tR 0.636 s , MP 5 % . We choose z1. Find K and jp Y(s) R(S) Figure 1. Unity Feedback System
3. Lead Comensator Design Using Root-Locus Consider the system in Figure 1 for G(s) -1/s* Design a lead compensator D(s)-K (s+ z)/(s+ p) to meet the specifications: tR 0.636 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...
Problem 2 Consider the following feedback system: where Design a lead compensator C s such that, for a step response it yields %10 overshoot with threefold reduction in settling time. Show your work, clearly identity and explain the choice of poles, zeroes and gain of the compensator C(s). Use Matlab rltool.
urgent!
II Lead-Lag Controller Design A plant has the open-loop transfer function with unity feedback: 20(s +1) G, (s) s(10s +D(0.1258 +D(0.05s +1)(0.02s +1) Design a phase lag-lead compensator that satisfies the following specifications must by the compensated system 1. The steady-state error for a unit ramp input must be 0.002; 2. The compensated phase margin must be approximately 48; must be approximately 25 rad/sec.
II Lead-Lag Controller Design A plant has the open-loop transfer function with unity feedback: 20(s...
tions 11 and 12: Performance specifications of the system shown in Figure 4 are satisfied ifclo poles are located ats42j Design a lead compensator (find K and a) of the form Kso that the specification is met. s+20 Which of the following values of z meet the specification? - 3.33 C. :-2.86 D. 2-423 E. None of the above 2) Which of the following values of K meet the specification? A. K- 39.0 B. K-140 C. K-78.O D. K-280 E....
3.) The designs in parts 1.) and 2.) where found to require an actuator signal that is too large. To solve this problem a lead/lag compensator of the form D(s) 37.5375 s +45 +525s+0.0325 was used (a) Use Matlab to plot the root-locus with the lead/lag compensator indicating the locations and values of the dominant closed-loop poles. (b) Use Matlab to plot the step response. (c) What are the rise-time, percent-overshoot, settling-time, and steady-state error in response to a unit-step...
Question 2 a) Consider the control system in Figure 2(a). Determine the transient response characteristics (rise time, peak time, maximum overshoot and settling time) and the steady state error for the system. (2 marks) b) To improve the relative stability, the tachometer feedback are employed as shown in Figure 2b). i Determine the value in so that the damping ratio of the system is 0.5. (1 % marks) From the result obtained in , evaluate the transient response characteristics (rise...
Given the system above, determine the zero location for a
lead/lag compensator so the system meets the desired responses:
Settles at about 2 seconds
Has a percent overshoot of about 50%
The plant has a transfer function of: Gp = (s+14) / (
(s+0)*(s+4) )
Assume that the pole of the lead/lag compensator has a pole at
s = -1.
QUESTION 5 1- GC(s) Gp(s) Y(S) R(S) Given the system above, determine the zero location for a lead/lag compensator so...
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