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Itroblem No. I For the closed-loop system shown below, discuss the effects that varying the values...
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)
System Dynamics 3. Determine the values of K and k such that the closed-loop system shown...
System Dynamics
3. Determine the values of K and k such that the closed-loop system shown in the Figure has a damping ratio ? of 0.7 and an undamped natural frequency en of4 rad/s R(s) 1 C(s)
Question 8: Consider the closed-loop magnetic levitation system shown in Figure below. With Ko = 1,...
Question 8: Consider the closed-loop magnetic levitation system shown in Figure below. With Ko = 1, determine the conditions on the system parameters (a, K, Z, p) to guarantee closed-loop system stability. Question 9: Considering following transfer function, find the range of K for which system will be stable K(s +2) T(S) 54 +353-352 + (K + 3) + (2K-4)
Problem 3 (25%): The closed-loop system has the block diagram shown below. Controlle Process Sensor s + l (a) (5%) Sketch the root locus of the closed-loop system. (b) (5%) Determine the range of...
Problem 3 (25%): The closed-loop system has the block diagram shown below. Controlle Process Sensor s + l (a) (5%) Sketch the root locus of the closed-loop system. (b) (5%) Determine the range of K that the closed-loop system is stable. (c) (5%) Find the percentage of overshoot and the steady state error due to a unit step input of the open loop system process. (d) (5%) Find the steady-state error due to a unit step input of the closed-loop...
yUCni ias the block diagram shown below. Controller Process Sensor (a) (5%) Sketch the root locus of the closed-loop system. (b) (5%) Determine the range of K that the closed-loop system is stabl...
yUCni ias the block diagram shown below. Controller Process Sensor (a) (5%) Sketch the root locus of the closed-loop system. (b) (5%) Determine the range of K that the closed-loop system is stable. (c) (5%) Find the percentage of overshoot and the steady state error due to a unit step input of the open loop system process. (d) (5%) Find the steady-state error due to a unit step input of the closed-loop syste as a function of the design parameter...
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 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...
PROBLEMA: (25%) A closed-loop control system is shown below Ds) T(O) U(A) C(s) (a) Show that a proportional controller (C(s)-kp) will never make the closed-loop system stable. (8%) (Hint: you nee...
PROBLEMA: (25%) A closed-loop control system is shown below Ds) T(O) U(A) C(s) (a) Show that a proportional controller (C(s)-kp) will never make the closed-loop system stable. (8%) (Hint: you need to calculate the closed-loop pole locations and make discussion for the two possible cases.) (Medim) (b) When a PD controller is used (C(s)kp+ kps), calculate the steady state tracking error when both R(s) and D(s) are unit steps. (8%) (Easy) (e) Suppose R(s) is a unit step and D(s)...
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....
Consider the closed-loop system shown in following. Determine the range of K for stability. Assume that...
Consider the closed-loop system shown in following. Determine the range of K for stability. Assume that K>0. (Hint: using Routh’s Method) R(s) C(s) S-2 K (s + 1)(52 +65 + 25)
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)
System Dynamics
3. Determine the values of K and k such that the closed-loop system shown in the Figure has a damping ratio ? of 0.7 and an undamped natural frequency en of4 rad/s R(s) 1 C(s)
Question 8: Consider the closed-loop magnetic levitation system shown in Figure below. With Ko = 1, determine the conditions on the system parameters (a, K, Z, p) to guarantee closed-loop system stability. Question 9: Considering following transfer function, find the range of K for which system will be stable K(s +2) T(S) 54 +353-352 + (K + 3) + (2K-4)
Problem 3 (25%): The closed-loop system has the block diagram shown below. Controlle Process Sensor s + l (a) (5%) Sketch the root locus of the closed-loop system. (b) (5%) Determine the range of K that the closed-loop system is stable. (c) (5%) Find the percentage of overshoot and the steady state error due to a unit step input of the open loop system process. (d) (5%) Find the steady-state error due to a unit step input of the closed-loop...
yUCni ias the block diagram shown below. Controller Process Sensor (a) (5%) Sketch the root locus of the closed-loop system. (b) (5%) Determine the range of K that the closed-loop system is stable. (c) (5%) Find the percentage of overshoot and the steady state error due to a unit step input of the open loop system process. (d) (5%) Find the steady-state error due to a unit step input of the closed-loop syste as a function of the design parameter...
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 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...
PROBLEMA: (25%) A closed-loop control system is shown below Ds) T(O) U(A) C(s) (a) Show that a proportional controller (C(s)-kp) will never make the closed-loop system stable. (8%) (Hint: you need to calculate the closed-loop pole locations and make discussion for the two possible cases.) (Medim) (b) When a PD controller is used (C(s)kp+ kps), calculate the steady state tracking error when both R(s) and D(s) are unit steps. (8%) (Easy) (e) Suppose R(s) is a unit step and D(s)...
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....
Consider the closed-loop system shown in following. Determine the range of K for stability. Assume that K>0. (Hint: using Routh’s Method) R(s) C(s) S-2 K (s + 1)(52 +65 + 25)
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