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20pts Given G(s) below under the unity feedback in Fig. 1, below under the unity feedback in F1 G)4s+ 15) (a) Design a lead compensator such that the dominant pole sd-1.33+2.64j (b) Discuss whet...
C(s) G(s) Figure 1: A block diagram for Problems 1-4 For the given unity feedback system with G(s...
C(s) G(s) Figure 1: A block diagram for Problems 1-4 For the given unity feedback system with G(s) - s 5)3' (a) Find the location of the dominant poles to yield a 1.2 second settling time and overshoot of 15% (b) If a compensator with a zero at-1 is used to achieve the conditions of Part a, what must be the angular contribution of the compensator pole be? (c) Find the location of the compensator pole. (d) Find the gain...
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...
steps R(s) E(s) C(s) G(s) FIGURE P9.1 FIGURE P9.2 9. Consider the unity feedback system shown...
steps
R(s) E(s) C(s) G(s) FIGURE P9.1 FIGURE P9.2 9. Consider the unity feedback system shown in Figure P9.1 with [Section: 9.3] K G(s) (s+4)3 a. Find the location of the dominant poles to yield a 1.6 second settling time and an overshoot of 25%. b. If a compensator with a zero at -1 is used to achieve the conditions of Part a, what must the angular contribution of the compensator pole be? c. Find the location of the compensator...
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...
Design of PID compensator S. Design of PID (Proportional-plus-Integral and Derivative) Compensator ds/i (st3)(s+6 s+10) and...
Design of PID compensator
S. Design of PID (Proportional-plus-Integral and Derivative) Compensator ds/i (st3)(s+6 s+10) and unity feedback Design a PID s+10) An uncompensated system has a gain controller so that the system can operate with a peak time that is two thirds that of the uncompensated system at 20% overshoot and with zero steady-state error for a step input. system has a gain Uncompensated system Compensated system K (s+8 G(s) = (s+3)(s+6)(s+10) ,H(s) = 1 20% OS; desired T,-23a...
urgent!! II Lag/lead Compensator Design A certain plant with unity feedback has the model given by GP(s) s(1 +0.1s) (1 0.2s) Design a phase-lag OR phase-lead compensator such that: 1. The steady-...
urgent!!
II Lag/lead Compensator Design A certain plant with unity feedback has the model given by GP(s) s(1 +0.1s) (1 0.2s) Design a phase-lag OR phase-lead compensator such that: 1. The steady- state error with respect to a unit ramp input is no more than 0.01; 2. Phase margin is approximately 40
II Lag/lead Compensator Design A certain plant with unity feedback has the model given by GP(s) s(1 +0.1s) (1 0.2s) Design a phase-lag OR phase-lead compensator such that:...
13. Consider the unity feedback system of Figure P11.1 with G(s) s(s+5s 20) The uncompensated sys...
13. Consider the unity feedback system of Figure P11.1 with G(s) s(s+5s 20) The uncompensated system has about 55% overshoot and a peak time of 0.5 second when K 10. Do the following: [Section: 11.4] . Use frequency response methods to design a lead compensator to reduce the percent overshoot to 10%, while keeping the peak time and steady-state error about the same or less. Make any required second-order approximations. b. Use MATLAB or any other computer MATLAB ML program...
1. a. Plot the root loci for the unity-feedback system whose feed-forward transfer function is: K...
1. a. Plot the root loci for the unity-feedback system whose feed-forward transfer function is: K G(s) = s(s? +48 + 8) If the value of K is set 8, where are the closed loop poles located? Hint: Non-dominant pole is an integer. (5 Points) 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 Points)...
1. Given a unity feedback system with the open-loop transfer function s(0.5s +1) .design a lead c...
1. Given a unity feedback system with the open-loop transfer function s(0.5s +1) .design a lead compensator ,0 〈 α 〈 1, such that the desired closed-loop poles at -2+2j following steps: J, by completing the (a) Find the angle deficiency from the compensator, (b)Find the zero and poles of the compensator (c) Find constant gain Kc.
1. Given a unity feedback system with the open-loop transfer function s(0.5s +1) .design a lead compensator ,0 〈 α 〈 1, such...
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...
C(s) G(s) Figure 1: A block diagram for Problems 1-4 For the given unity feedback system with G(s) - s 5)3' (a) Find the location of the dominant poles to yield a 1.2 second settling time and overshoot of 15% (b) If a compensator with a zero at-1 is used to achieve the conditions of Part a, what must be the angular contribution of the compensator pole be? (c) Find the location of the compensator pole. (d) Find the gain...
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...
steps
R(s) E(s) C(s) G(s) FIGURE P9.1 FIGURE P9.2 9. Consider the unity feedback system shown in Figure P9.1 with [Section: 9.3] K G(s) (s+4)3 a. Find the location of the dominant poles to yield a 1.6 second settling time and an overshoot of 25%. b. If a compensator with a zero at -1 is used to achieve the conditions of Part a, what must the angular contribution of the compensator pole be? c. Find the location of the compensator...
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...
Design of PID compensator
S. Design of PID (Proportional-plus-Integral and Derivative) Compensator ds/i (st3)(s+6 s+10) and unity feedback Design a PID s+10) An uncompensated system has a gain controller so that the system can operate with a peak time that is two thirds that of the uncompensated system at 20% overshoot and with zero steady-state error for a step input. system has a gain Uncompensated system Compensated system K (s+8 G(s) = (s+3)(s+6)(s+10) ,H(s) = 1 20% OS; desired T,-23a...
urgent!!
II Lag/lead Compensator Design A certain plant with unity feedback has the model given by GP(s) s(1 +0.1s) (1 0.2s) Design a phase-lag OR phase-lead compensator such that: 1. The steady- state error with respect to a unit ramp input is no more than 0.01; 2. Phase margin is approximately 40
II Lag/lead Compensator Design A certain plant with unity feedback has the model given by GP(s) s(1 +0.1s) (1 0.2s) Design a phase-lag OR phase-lead compensator such that:...
13. Consider the unity feedback system of Figure P11.1 with G(s) s(s+5s 20) The uncompensated system has about 55% overshoot and a peak time of 0.5 second when K 10. Do the following: [Section: 11.4] . Use frequency response methods to design a lead compensator to reduce the percent overshoot to 10%, while keeping the peak time and steady-state error about the same or less. Make any required second-order approximations. b. Use MATLAB or any other computer MATLAB ML program...
1. a. Plot the root loci for the unity-feedback system whose feed-forward transfer function is: K G(s) = s(s? +48 + 8) If the value of K is set 8, where are the closed loop poles located? Hint: Non-dominant pole is an integer. (5 Points) 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 Points)...
1. Given a unity feedback system with the open-loop transfer function s(0.5s +1) .design a lead compensator ,0 〈 α 〈 1, such that the desired closed-loop poles at -2+2j following steps: J, by completing the (a) Find the angle deficiency from the compensator, (b)Find the zero and poles of the compensator (c) Find constant gain Kc.
1. Given a unity feedback system with the open-loop transfer function s(0.5s +1) .design a lead compensator ,0 〈 α 〈 1, such...
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...
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