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1. (30%) A 2nd order linear system H(S) is described in terms of its pole locations,...
E. If you double the value of kp, what are the new closed-loop pole locations and [5 points] how much overshoot does the step response have? Hint: It is possible to determine the original value...
E. If you double the value of kp, what are the new closed-loop pole locations and [5 points] how much overshoot does the step response have? Hint: It is possible to determine the original value for kp. However, with the knowledge at this point, you can compute the pole locations without actually knowing kp (simply double the zero-order term in the denominator polyno- mial). Problem 2 You are confronted with a process that has the unknown transfer function G(s). It...
1. Consider a transfer function of a system 25 s? + 4s + 25 a) Simulation...
1. Consider a transfer function of a system 25 s? + 4s + 25 a) Simulation i. Using any simulation software package, plot the poles on the s-plane. ii. Using unit step input, plot the transient response when there is no additional third pole to the system. iii. Using unit step input, plot the transient response when there is an additional third pole occur at -200, -20, -10, and -2. Plot them in a single graph. Normalize all the plots...
Problem 2 Wis) R(s) U(s) Gol (s) D a (s) E(s) H(s) Given a system as in the diagram above, use MATLAB to solve the problems: Assume we want the closed-loop system rise time to be t, 0.18 sec S + Z H(...
Problem 2 Wis) R(s) U(s) Gol (s) D a (s) E(s) H(s) Given a system as in the diagram above, use MATLAB to solve the problems: Assume we want the closed-loop system rise time to be t, 0.18 sec S + Z H(s) 1 Gpl)s(s+)et s(s 1) s + p a) Assume W(s)-0. Draw the root locus of the system assuming compensator consists only of the adjustable gain parameter K, i.e. Dct (s) Determine the approximate range of values of...
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) =...
2- The following requirements are given for a second-order system that is described by the transfer...
2- The following requirements are given for a second-order system that is described by the transfer function s2+25Wnstwa Maximum overshoot: 5% <P.0.< 15% Settling time: 5s < 75% < 10s Peak time: tp < 2s (a) Describe and sketch the s-plane regions of the pole locations satisfying the requirements. (20pts) (b)Determine the largest and smallest possible peak time of a system with the poles satisfying the requirements. (10pts) Hints: Im(s) cos =-5 10, vi Res P.O.=100e 1-3 16 wn, tp
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...
Apr. 17, 2019 Name PROBLEMİ: (30%) (a) Match the following unit step response curves with the sys...
Apr. 17, 2019 Name PROBLEMİ: (30%) (a) Match the following unit step response curves with the system dynamic equations. (15%) Step Rosponse 2.5 1.5 0.5 10 Time (seconds) (b) A 2nd-order system is given a step input. Make an accurate drawing of the complex plane that shows the pole locations corresponding to no overshoot, and 2% settling time between 2 and 3 seconds. (You need to show the calculation) (15%)
Apr. 17, 2019 Name PROBLEMİ: (30%) (a) Match the following...
Question 2 A linear time-invariant (LTI) system has its response described by the following second-order differential...
Question 2 A linear time-invariant (LTI) system has its response described by the following second-order differential equation: d'y) 3-10))-3*0)-6x0) dy_hi dx(t) where x() is the input function and y(t) is the output function. (a) Determine the transfer function H(a) of the system. (b) Determine the impulse response h(t) of the system.
Problem 4. Consider the control system shown below with plant G(s) that has time con- stants...
Problem 4. Consider the control system shown below with plant G(s) that has time con- stants T1 = 2, T2 = 10, and gain k = 0.1. 4 673 +1679+1) (1.) Sketch the pole-zero plot for G(s). Is one of the poles more dominant? Using MATLAB, simulate the step response of the plant itself, along with G1(s) and G2(s) as defined by Gl(s) = and G2(s) = sti + 1 ST2+1 (2.) Design a proportional gain C(s) = K so...
Problem 8: A control system for an automatic fluid dispenser is shown below: 125 pointsl Y(s) K6s...
I need the solution using the simulink and if any codes
available please, thanks
Problem 8: A control system for an automatic fluid dispenser is shown below: 125 pointsl Y(s) K6s + 12) Obtain the Closed-loop Transfer Function for the above block diagram. Simulate the system for a unit step input for the following values of K: 15, 30 and 50 On a single graph, plot the response curves for all three cases, for a simulation time of 20 seconds....
E. If you double the value of kp, what are the new closed-loop pole locations and [5 points] how much overshoot does the step response have? Hint: It is possible to determine the original value for kp. However, with the knowledge at this point, you can compute the pole locations without actually knowing kp (simply double the zero-order term in the denominator polyno- mial). Problem 2 You are confronted with a process that has the unknown transfer function G(s). It...
1. Consider a transfer function of a system 25 s? + 4s + 25 a) Simulation i. Using any simulation software package, plot the poles on the s-plane. ii. Using unit step input, plot the transient response when there is no additional third pole to the system. iii. Using unit step input, plot the transient response when there is an additional third pole occur at -200, -20, -10, and -2. Plot them in a single graph. Normalize all the plots...
Problem 2 Wis) R(s) U(s) Gol (s) D a (s) E(s) H(s) Given a system as in the diagram above, use MATLAB to solve the problems: Assume we want the closed-loop system rise time to be t, 0.18 sec S + Z H(s) 1 Gpl)s(s+)et s(s 1) s + p a) Assume W(s)-0. Draw the root locus of the system assuming compensator consists only of the adjustable gain parameter K, i.e. Dct (s) Determine the approximate range of values of...
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) =...
2- The following requirements are given for a second-order system that is described by the transfer function s2+25Wnstwa Maximum overshoot: 5% <P.0.< 15% Settling time: 5s < 75% < 10s Peak time: tp < 2s (a) Describe and sketch the s-plane regions of the pole locations satisfying the requirements. (20pts) (b)Determine the largest and smallest possible peak time of a system with the poles satisfying the requirements. (10pts) Hints: Im(s) cos =-5 10, vi Res P.O.=100e 1-3 16 wn, tp
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...
Apr. 17, 2019 Name PROBLEMİ: (30%) (a) Match the following unit step response curves with the system dynamic equations. (15%) Step Rosponse 2.5 1.5 0.5 10 Time (seconds) (b) A 2nd-order system is given a step input. Make an accurate drawing of the complex plane that shows the pole locations corresponding to no overshoot, and 2% settling time between 2 and 3 seconds. (You need to show the calculation) (15%)
Apr. 17, 2019 Name PROBLEMİ: (30%) (a) Match the following...
Question 2 A linear time-invariant (LTI) system has its response described by the following second-order differential equation: d'y) 3-10))-3*0)-6x0) dy_hi dx(t) where x() is the input function and y(t) is the output function. (a) Determine the transfer function H(a) of the system. (b) Determine the impulse response h(t) of the system.
Problem 4. Consider the control system shown below with plant G(s) that has time con- stants T1 = 2, T2 = 10, and gain k = 0.1. 4 673 +1679+1) (1.) Sketch the pole-zero plot for G(s). Is one of the poles more dominant? Using MATLAB, simulate the step response of the plant itself, along with G1(s) and G2(s) as defined by Gl(s) = and G2(s) = sti + 1 ST2+1 (2.) Design a proportional gain C(s) = K so...
I need the solution using the simulink and if any codes
available please, thanks
Problem 8: A control system for an automatic fluid dispenser is shown below: 125 pointsl Y(s) K6s + 12) Obtain the Closed-loop Transfer Function for the above block diagram. Simulate the system for a unit step input for the following values of K: 15, 30 and 50 On a single graph, plot the response curves for all three cases, for a simulation time of 20 seconds....
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