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%
(d) Add a PI compensator that achieves zero steady state error for a ramp input and does not
change the transient response designed in (c) signi cantly;
(e) Merge the compensators designed in parts (c) and (d) to nd the proportional, derivative, and
integral gains of an equivalent PID compensator
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1. Consider a unity feedback control system with the transfer
function
G(s) = 1/[s(s+ 2)] in...
A unity feedback system with the forward transfer function G (s) = s(s+2)(s15) is operating with ...
A unity feedback system with the forward transfer function G (s) = s(s+2)(s15) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the settling time for a unit step input b) Design a PD control to yield a 15% overshoot but with a threefold reduction in settling time; c) Evaluate the settling time, overshoot, and steady-state error with the PD control.
A unity feedback system with the forward transfer function G (s) =...
A unity feedback system with the forward transfer function G)2)(s +5) is operating with a closed-...
A unity feedback system with the forward transfer function G)2)(s +5) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the settling time for a unit step input; b) Design a PD control to yield a 15% overshoot but with a threefold reduction in settling time; c) Evaluate the settling time, overshoot, and steady-state error with the PD control.
A unity feedback system with the forward transfer function G)2)(s +5) is operating with...
Lag Compensator Design Using Root-Locus 2. Consider the unity feedback system in Figure 1 for G(s...
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Problem 4. The open-loop transfer function of a unity feedback system is 20 G(s) S+1.5) (s +3.5) ...
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Problem 4. The open-loop transfer function of a unity feedback system is: 20 (s+1.5)(s 3.5) (s 15...
Problem 4. The open-loop transfer function of a unity feedback system is: 20 (s+1.5)(s 3.5) (s 15) G(s) (a) Design a lag-lead compensator for G(s) using root locus so that the closed-loop system satisfies the design specifications (b) Design a PID compensator for G (s) using root locus so that the clos ed-loop system satisfies the design specifications. Design specifications .SSE to a unit step reference input is less than 0.02. Overshoot is less than 20% Peak time is less...
2. Consider a unity feedback control system with G(s), below, in the forward path. G(s) s...
2. Consider a unity feedback control system with G(s), below, in the forward path. G(s) s (s +2) (a) Design K such that the system operates at 5% overshoot (b) Add a compensator to reduce the settling time of part (a) by a factor of 5. (c) Add another compensator to increase K, of part (b) by a factor of 5.
Problem 1. A unity feedback system with forward transfer function G(s) is operating with a closed...
Problem 1. A unity feedback system with forward transfer function G(s) is operating with a closed-loop step response that has 20.5% overshoot. G)-(+8)6 + 25) G(s) (a) Design a PD compens ator to decrease the settling time of the closed-loop system by a factor of four
Problem 1. A unity feedback system with forward transfer function G(s) is operating with a closed-loop step response that has 20.5% overshoot. G)-(+8)6 + 25) G(s) (a) Design a PD compens ator to decrease...
SS10. The unity-feedback system of Figure P11.1 with K (s +4) G (s) (s 2) (s 5) (s +12) is operat...
SS10. The unity-feedback system of Figure P11.1 with K (s +4) G (s) (s 2) (s 5) (s +12) is operating with 20% overshoot. [Section: 114] a. Find the settling time. b. Find Kp c. Find the phase margin and the phase-margin frequency d. Using frequency response techniques, design a compensator that will yield a threefold improvement in Kp and a twofold reduction in settling time while keeping the overshoot at 20%.
SS10. The unity-feedback system of Figure P11.1 with...
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...
PD & PID controller design Consider a unity feedback system with open loop transfer function, G(s)...
PD & PID controller design Consider a unity feedback system with open loop transfer function, G(s) = 20/s(s+2)(8+4). Design a PD controller so that the closed loop has a damping ratio of 0.8 and natural frequency of oscillation as 2 rad/sec. b) 100 Consider a unity feedback system with open loop transfer function, aus. Design a PID controller, so that the phase margin of (S-1) (s + 2) (s+10) the system is 45° at a frequency of 4 rad/scc and...
A unity feedback system with the forward transfer function G (s) = s(s+2)(s15) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the settling time for a unit step input b) Design a PD control to yield a 15% overshoot but with a threefold reduction in settling time; c) Evaluate the settling time, overshoot, and steady-state error with the PD control.
A unity feedback system with the forward transfer function G (s) =...
A unity feedback system with the forward transfer function G)2)(s +5) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the settling time for a unit step input; b) Design a PD control to yield a 15% overshoot but with a threefold reduction in settling time; c) Evaluate the settling time, overshoot, and steady-state error with the PD control.
A unity feedback system with the forward transfer function G)2)(s +5) is operating with...
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 4. The open-loop transfer function of a unity feedback system is 20 G(s) S+1.5) (s +3.5) (s +15) (a) Design a lag-lead compensator for G(s) using root locus so that the closed-loop system satisfies the design specifications. (b) Design a PID compensator for G(s) using root locus so that the closed-loop system satisfies the design specifications. Design specifications -SSE to a unit step reference input is less than 0.02. Overshoot is less than 20%. Peak time is less than...
Problem 4. The open-loop transfer function of a unity feedback system is: 20 (s+1.5)(s 3.5) (s 15) G(s) (a) Design a lag-lead compensator for G(s) using root locus so that the closed-loop system satisfies the design specifications (b) Design a PID compensator for G (s) using root locus so that the clos ed-loop system satisfies the design specifications. Design specifications .SSE to a unit step reference input is less than 0.02. Overshoot is less than 20% Peak time is less...
2. Consider a unity feedback control system with G(s), below, in the forward path. G(s) s (s +2) (a) Design K such that the system operates at 5% overshoot (b) Add a compensator to reduce the settling time of part (a) by a factor of 5. (c) Add another compensator to increase K, of part (b) by a factor of 5.
Problem 1. A unity feedback system with forward transfer function G(s) is operating with a closed-loop step response that has 20.5% overshoot. G)-(+8)6 + 25) G(s) (a) Design a PD compens ator to decrease the settling time of the closed-loop system by a factor of four
Problem 1. A unity feedback system with forward transfer function G(s) is operating with a closed-loop step response that has 20.5% overshoot. G)-(+8)6 + 25) G(s) (a) Design a PD compens ator to decrease...
SS10. The unity-feedback system of Figure P11.1 with K (s +4) G (s) (s 2) (s 5) (s +12) is operating with 20% overshoot. [Section: 114] a. Find the settling time. b. Find Kp c. Find the phase margin and the phase-margin frequency d. Using frequency response techniques, design a compensator that will yield a threefold improvement in Kp and a twofold reduction in settling time while keeping the overshoot at 20%.
SS10. The unity-feedback system of Figure P11.1 with...
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...
PD & PID controller design Consider a unity feedback system with open loop transfer function, G(s) = 20/s(s+2)(8+4). Design a PD controller so that the closed loop has a damping ratio of 0.8 and natural frequency of oscillation as 2 rad/sec. b) 100 Consider a unity feedback system with open loop transfer function, aus. Design a PID controller, so that the phase margin of (S-1) (s + 2) (s+10) the system is 45° at a frequency of 4 rad/scc and...
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