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System Dynamics
3. Determine the values of K and k such that the closed-loop system shown...
Referring to the system shown in Figure (a), determine the values of K and k such...
Referring to the system shown in Figure (a), determine the values of K and k such that the system has a damping ratio 5 of 0.7 and an undamped natural frequency wn of 4 radsec. R(S) C(s) K S + 2 k Select one: O a. K=0.249 and k=0.178 O b. K = 16 and k=0.225 Oc. K=0.467 and k=0.874 O d. K = 0.367 and k=12 O e. K=12 and k=18
Determine: 1. The transfer function C(s)/R(s). Also find the closed-loop poles of the system. 2. The...
Determine: 1. The transfer function C(s)/R(s). Also find the
closed-loop poles of the system. 2. The values of the undamped
natural frequency ωN and damping ratio ξ of the closed-loop poles.
3. The expressions of the rise time, the peak time, the maximum
overshoot, and the 2% settling time due to a unit-step reference
signal.
For the open-loop process with negative feedback R(S) Gp(S) C(s) H(s) 103 Go(s) = 1 , Gp(s)- s(s + 4) Determine: 1. The transfer function...
I . (30%) For the system shown in Fig. 3 with Ge K, Gr. 1/[s (s...
I . (30%) For the system shown in Fig. 3 with Ge K, Gr. 1/[s (s +2), H l + ks, determine the values of K and k such that the system has a damping ratio of 0.7 and undamped natural frequency of 5 rad/sec. Then obtain the settling time in the unit-s response. Controller PlantC Fig. 3 - _ I IFI
In the control system whose planti is unstable in the figure, find the values of ??...
In the control system whose planti is unstable in the figure,
find the values of ?? and ??, which ensure that the damping ratio
of the closed loop system is 0.7 and its natural frequency is 0.5
rad / s, by using the ground curve of the roots.
R(S) + 1 C(s) Kp(1+Tas) 10000(32-1.1772)
e c(s) X(s) S+3 B(s) D(s) Kh PROBLEM 1 Consider the system shown in the figure...
e
c(s) X(s) S+3 B(s) D(s) Kh PROBLEM 1 Consider the system shown in the figure above. Write an expression for signal.Xs) in terms of complex variable s and output signal C(s). a) b) Write the closed-loop transfer fiunction C( for the system. for the system. ) Recalling that for a second-order system such as this, that the closed-loop transfer function has the form damping ratio ?= 0.5 and an undamped natural frequency on-6 rads. T , determine the values...
1. Consider the unity feedback system shown in figure 1 with G(S) -2sti a) Determine the...
1. Consider the unity feedback system shown in figure 1 with G(S) -2sti a) Determine the closed loop transfer function TF(s) γ(s) R(s) What are the poles and zeros of TF1(s)? [2 marks] b) For TF(s), calculate the DC gain, natural frequency and damping ratio. Classify TF1(s) as underdamped overdamped, critically damped or undamped [3 marks] c) Use the initial value theorem and final value theorem to determine the initial value (Mo) and final value (M) of the [2 marks]...
Please solve part b and c and d !! Consider the closed loop system shown in...
Please solve part b and c and d !!
Consider the closed loop system shown in Figure 4. The root locus of that system is shown in Figure 5 (s+40s+8) R(s) Y(s) Figure 4 System block diagram of Problem 4 a) On the root locus plot, sketch the region of possible roots of the dominant closed-loop poles such that the system response to a unit step has the following time domain specifications. [5] i. Damping ratio, 20.76 ii. Natural frequency,....
Problem #9 Determine the values of K and k of the closed-loop system shown in Figure...
Problem #9 Determine the values of K and k of the closed-loop system shown in Figure 9 so that the maximum overshot in unit step response is 25 % and the peak time is 2 sec. Assume that J= 1 Kg.m? R(3) - HQ C(s) Figure 9 Problem #10 The open-loop transfer function of a unity feedback system is sis +23 It is specified that the response of the system to step inpur should have a maximum overshoot of 10...
Problem 3: (30 Consider a block diagram which represents the satellite control system with a cont...
Problem 3: (30 Consider a block diagram which represents the satellite control system with a controller Ge(s) (a) Assuming no initial conditions, find the output response y(t) when the impulse input is applied to the system, where Gc(s) is a proportional gain K. (10) (b) Design a lead-compensator Ge(s) for which the complex pole of the closed-loop system has 0.5 of damping ratio () and 2 rad/s of undamped natural frequency (on) (The zero of a lead-compensator is given as...
1. Find the values of K and a for the system shown if the closed-loop response...
1. Find the values of K and a for the system shown if the closed-loop response has a 0.12 second settling time and a 20% overshoot. R(S) + E(S) C(s) K s(s + a)
Referring to the system shown in Figure (a), determine the values of K and k such that the system has a damping ratio 5 of 0.7 and an undamped natural frequency wn of 4 radsec. R(S) C(s) K S + 2 k Select one: O a. K=0.249 and k=0.178 O b. K = 16 and k=0.225 Oc. K=0.467 and k=0.874 O d. K = 0.367 and k=12 O e. K=12 and k=18
Determine: 1. The transfer function C(s)/R(s). Also find the
closed-loop poles of the system. 2. The values of the undamped
natural frequency ωN and damping ratio ξ of the closed-loop poles.
3. The expressions of the rise time, the peak time, the maximum
overshoot, and the 2% settling time due to a unit-step reference
signal.
For the open-loop process with negative feedback R(S) Gp(S) C(s) H(s) 103 Go(s) = 1 , Gp(s)- s(s + 4) Determine: 1. The transfer function...
I . (30%) For the system shown in Fig. 3 with Ge K, Gr. 1/[s (s +2), H l + ks, determine the values of K and k such that the system has a damping ratio of 0.7 and undamped natural frequency of 5 rad/sec. Then obtain the settling time in the unit-s response. Controller PlantC Fig. 3 - _ I IFI
In the control system whose planti is unstable in the figure,
find the values of ?? and ??, which ensure that the damping ratio
of the closed loop system is 0.7 and its natural frequency is 0.5
rad / s, by using the ground curve of the roots.
R(S) + 1 C(s) Kp(1+Tas) 10000(32-1.1772)
e
c(s) X(s) S+3 B(s) D(s) Kh PROBLEM 1 Consider the system shown in the figure above. Write an expression for signal.Xs) in terms of complex variable s and output signal C(s). a) b) Write the closed-loop transfer fiunction C( for the system. for the system. ) Recalling that for a second-order system such as this, that the closed-loop transfer function has the form damping ratio ?= 0.5 and an undamped natural frequency on-6 rads. T , determine the values...
1. Consider the unity feedback system shown in figure 1 with G(S) -2sti a) Determine the closed loop transfer function TF(s) γ(s) R(s) What are the poles and zeros of TF1(s)? [2 marks] b) For TF(s), calculate the DC gain, natural frequency and damping ratio. Classify TF1(s) as underdamped overdamped, critically damped or undamped [3 marks] c) Use the initial value theorem and final value theorem to determine the initial value (Mo) and final value (M) of the [2 marks]...
Please solve part b and c and d !!
Consider the closed loop system shown in Figure 4. The root locus of that system is shown in Figure 5 (s+40s+8) R(s) Y(s) Figure 4 System block diagram of Problem 4 a) On the root locus plot, sketch the region of possible roots of the dominant closed-loop poles such that the system response to a unit step has the following time domain specifications. [5] i. Damping ratio, 20.76 ii. Natural frequency,....
Problem #9 Determine the values of K and k of the closed-loop system shown in Figure 9 so that the maximum overshot in unit step response is 25 % and the peak time is 2 sec. Assume that J= 1 Kg.m? R(3) - HQ C(s) Figure 9 Problem #10 The open-loop transfer function of a unity feedback system is sis +23 It is specified that the response of the system to step inpur should have a maximum overshoot of 10...
Problem 3: (30 Consider a block diagram which represents the satellite control system with a controller Ge(s) (a) Assuming no initial conditions, find the output response y(t) when the impulse input is applied to the system, where Gc(s) is a proportional gain K. (10) (b) Design a lead-compensator Ge(s) for which the complex pole of the closed-loop system has 0.5 of damping ratio () and 2 rad/s of undamped natural frequency (on) (The zero of a lead-compensator is given as...
1. Find the values of K and a for the system shown if the closed-loop response has a 0.12 second settling time and a 20% overshoot. R(S) + E(S) C(s) K s(s + a)
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