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in
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Question 8: Consider the closed-loop magnetic levitation system shown in Figure below. With Ko = 1,...
A. Consider the characteristic equations below, comment on their system stability? 1. D(s)=s4 +253 +852 +...
A. Consider the characteristic equations below, comment on their system stability? 1. D(s)=s4 +253 +852 + 4s + 3 2. D(s)=s5 +54 +353 +352 + 6s + 4 B. Find the range of values of K for the closed loop system to remain stable? R(s) C(s) K s(s? +5 +1)(8+3)(s+4)
muibliam 5(20%). The closed-loop system is given below. Controller (a) (S%) Find the system transfer function and discuss the range of Ko to make the eystom stuibie assuming K (t)(S%) Find the...
muibliam 5(20%). The closed-loop system is given below. Controller (a) (S%) Find the system transfer function and discuss the range of Ko to make the eystom stuibie assuming K (t)(S%) Find the percentage of overshoot and stendy state error to the unit ramp input as a function of your design parameter Ke assuming K4 ( d) 5%) Find hed sagn parameters Ko and Kr such that the damping ratio of the closed- lonp system is O15 and the steady state...
PROBLEM 2 Suppose that a system is shown in Figure 2. Based on for loop, write a piece of MATLAB code to calculate the closed loop poles for 0sKs5 and plot the outputs where the poles are represented...
PROBLEM 2 Suppose that a system is shown in Figure 2. Based on for loop, write a piece of MATLAB code to calculate the closed loop poles for 0sKs5 and plot the outputs where the poles are represented by "W" letter. Find the interval of K parameter for stability using Routh-Hurwitz method. Calculate the poles of the closed loop transfer function where K attains the minimum value such that the system is stable. R(s) 52(K - 3)s + K Figure...
3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given...
3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given by G(s) and the sensor transfer function is given by H(s). R(s) C(s) G(s) H(s) Figure Q3 It is known that G(s) -- K(+20) S(+5) H(s) = and K is the proportional gain. (S+10) i. Determine the closed-loop transfer function and hence the characteristic equation of the system. [6 marks] ii. Using the Routh-Hurwitz criterion, determine the stability of the closed-loop system. Determine the...
blem 5 (2000): The closed-loop system is given below. Controller El(s) ) (5% o) Find the system transfer function and discuss the range of Ko to make the stem stable assuming Kp-5. ) (5 %) Find t...
blem 5 (2000): The closed-loop system is given below. Controller El(s) ) (5% o) Find the system transfer function and discuss the range of Ko to make the stem stable assuming Kp-5. ) (5 %) Find the percentage of overshoot and steady state error to the unit ramp input as function of your design parameter Kp assuming KD-4. :) (5%) Find the design parameters KD and Kp such that the damping ratio of the closed- pop system is 0.5 and...
Q2 (a) Consider the control system shown in Figure Q1 (a). Obtain the closed-loop transfer function...
Q2 (a) Consider the control system shown in Figure Q1 (a). Obtain the closed-loop transfer function of this system and by using MATLAB obtain the unit step response of this closed loop system - R(S) c(s) 36+1) (s + 1) Figure Q2 (a) (b) A sampler and a zero-order hold element were inserted into the system in Figure Q1(a) as shown in Figure Q1(b). Obtain the closed-loop pulse transfer function of this system and by using MATLAB or otherwise, obtain...
Please solve it with step by step MATLAB code, thank you! Suppose that a system is shown in Figure 2. Based on for loop, write a piece of MATLAB code to calculate the closed loop poles for 03K35 and...
Please solve it with step by step MATLAB code, thank you!
Suppose that a system is shown in Figure 2. Based on for loop, write a piece of MATLAB code to calculate the closed loop poles for 03K35 and plot the outputs where the poles are represented by "W" letter. Find the interval of K parameter for stability using Routh-Hurwitz method. Calculate the poles of the closed loop transfer function where K attains the minimum value such that the system...
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5...
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5) A proportional controller is used to control the system as shown in Figure 6 below: Y(s) R(s) + G(s) Figure 6: A control system with a proportional controller a) Assume Hp(s) is a proportional controller with the transfer function H,(s) kp. Determine, using the Routh-Hurwitz Stability Criterion, the value of kp for which the closed-loop system in Figure 6 is marginally stable. (6...
5. (15 points) Find the range of the gain K for stability of a closed-loop system...
5. (15 points) Find the range of the gain K for stability of a closed-loop system with the following open- loop transfer function K G(s)H(s) s(s+1)(2s +1)
A2. (a) Explain how the open-loop polar plot can be used to assess closed-loop stability by...
A2. (a) Explain how the open-loop polar plot can be used to assess closed-loop stability by applying Nyquist's stability criterion. Apply Nyquist's stability criterion to determine the stability condition for a closed-loop system that is unstable in the open-loop. [30%] = K (b) An unstable system has transfer function given by G(S) in which the gain K is S(S-2) positive. A derivative compensator H(s) = 0.5s + 1 is inserted in the negative feedback path to form a control loop....
A. Consider the characteristic equations below, comment on their system stability? 1. D(s)=s4 +253 +852 + 4s + 3 2. D(s)=s5 +54 +353 +352 + 6s + 4 B. Find the range of values of K for the closed loop system to remain stable? R(s) C(s) K s(s? +5 +1)(8+3)(s+4)
muibliam 5(20%). The closed-loop system is given below. Controller (a) (S%) Find the system transfer function and discuss the range of Ko to make the eystom stuibie assuming K (t)(S%) Find the percentage of overshoot and stendy state error to the unit ramp input as a function of your design parameter Ke assuming K4 ( d) 5%) Find hed sagn parameters Ko and Kr such that the damping ratio of the closed- lonp system is O15 and the steady state...
PROBLEM 2 Suppose that a system is shown in Figure 2. Based on for loop, write a piece of MATLAB code to calculate the closed loop poles for 0sKs5 and plot the outputs where the poles are represented by "W" letter. Find the interval of K parameter for stability using Routh-Hurwitz method. Calculate the poles of the closed loop transfer function where K attains the minimum value such that the system is stable. R(s) 52(K - 3)s + K Figure...
3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given by G(s) and the sensor transfer function is given by H(s). R(s) C(s) G(s) H(s) Figure Q3 It is known that G(s) -- K(+20) S(+5) H(s) = and K is the proportional gain. (S+10) i. Determine the closed-loop transfer function and hence the characteristic equation of the system. [6 marks] ii. Using the Routh-Hurwitz criterion, determine the stability of the closed-loop system. Determine the...
blem 5 (2000): The closed-loop system is given below. Controller El(s) ) (5% o) Find the system transfer function and discuss the range of Ko to make the stem stable assuming Kp-5. ) (5 %) Find the percentage of overshoot and steady state error to the unit ramp input as function of your design parameter Kp assuming KD-4. :) (5%) Find the design parameters KD and Kp such that the damping ratio of the closed- pop system is 0.5 and...
Q2 (a) Consider the control system shown in Figure Q1 (a). Obtain the closed-loop transfer function of this system and by using MATLAB obtain the unit step response of this closed loop system - R(S) c(s) 36+1) (s + 1) Figure Q2 (a) (b) A sampler and a zero-order hold element were inserted into the system in Figure Q1(a) as shown in Figure Q1(b). Obtain the closed-loop pulse transfer function of this system and by using MATLAB or otherwise, obtain...
Please solve it with step by step MATLAB code, thank you!
Suppose that a system is shown in Figure 2. Based on for loop, write a piece of MATLAB code to calculate the closed loop poles for 03K35 and plot the outputs where the poles are represented by "W" letter. Find the interval of K parameter for stability using Routh-Hurwitz method. Calculate the poles of the closed loop transfer function where K attains the minimum value such that the system...
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5) A proportional controller is used to control the system as shown in Figure 6 below: Y(s) R(s) + G(s) Figure 6: A control system with a proportional controller a) Assume Hp(s) is a proportional controller with the transfer function H,(s) kp. Determine, using the Routh-Hurwitz Stability Criterion, the value of kp for which the closed-loop system in Figure 6 is marginally stable. (6...
5. (15 points) Find the range of the gain K for stability of a closed-loop system with the following open- loop transfer function K G(s)H(s) s(s+1)(2s +1)
A2. (a) Explain how the open-loop polar plot can be used to assess closed-loop stability by applying Nyquist's stability criterion. Apply Nyquist's stability criterion to determine the stability condition for a closed-loop system that is unstable in the open-loop. [30%] = K (b) An unstable system has transfer function given by G(S) in which the gain K is S(S-2) positive. A derivative compensator H(s) = 0.5s + 1 is inserted in the negative feedback path to form a control loop....
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