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A second order system has the following poles -1.4 t 7.2 j , find the 2%...
Question 2 For the system shown below use the MATLAB to find: X + 0.5s+1.3 s+1.2s+1.6s For the pr...
Question 2 For the system shown below use the MATLAB to find: X + 0.5s+1.3 s+1.2s+1.6s For the previous system if K-1, and the input is sin(2t) find: 1) 2) 3) 4) Peak amplitude Rise time Settling time Steady state value Question 3 For the system shown below If the input is unit step find: 1) 2) 3) 4) Peak amplitude Rise time Settling time Steady state value
Question 2 For the system shown below use the MATLAB to find:...
Problem 1) (25 points) Suppose that a second order system has the pole pair of –2...
Problem 1) (25 points) Suppose that a second order system has the pole pair of –2 jn and no zeros. (a) Determine the kind of the unit step time response (overdamped, undamped, etc.) and write its general form. (05 points) (b) Find the settling and peak times, T, and Tp (if appropriate), respectively. (05 points) (c) Write the system's transfer function that produces a unit step time response having the steady- state value Css of 10. (05 points) (d) Find...
10 Marks Consider the following second-order system 56 u. (a) 2 Marks] What are the poles...
10 Marks Consider the following second-order system 56 u. (a) 2 Marks] What are the poles of the system? (b) 2 Marks] What is the meaning that the system be stable in terms of system response x(t)? Is the system stable or not? (c) [6 Marks] Design a rate-feedback PD controller u(t) — К,(r — г) - Кай so that the system response to a step input has a settling time around 2 sec and an overshoot of about 5%....
Problem 7.2 The differential equations for a second-order thermal system are y=x2 where u is the control input. (a) Show that the plant is type zero. As a consequence, the steady-state error using pr...
Problem 7.2 The differential equations for a second-order thermal system are y=x2 where u is the control input. (a) Show that the plant is type zero. As a consequence, the steady-state error using proportional control is non-zero. Find the steady-state error as a function of G (b) To achieve zero steady-state error, integral control will be used, by adding the state variable zo with which is appended to the original equations, making the system third-order. For the resulting third-order system,...
please help to solve this. Thank you B1. Consider the second order system where damping ratio...
please help to solve this. Thank you
B1. Consider the second order system where damping ratio 3-0.6 and natural angular frequency Ww=5 rad/sec. find the rise time tr, peak time tp, maximum overshoot Mp, and settling time ts (2%) when the system is subjected to a unit-step input. I B2. Find the steady-state errors for inputs of 5 u(t), 5t u(t), and 5t.u(t) to the system shown in the following figure. The function u(t) is the unit step. R(S) +...
Question three The figure below shows a unit step response of a second order system. From...
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...
2. then design the LF components Ri. R2,and C to produce and plot with Matlab the following step ...
2. then design the LF components Ri. R2,and C to produce and plot with Matlab the following step responses by the PLL a. overdamped, b. underdamped, c. critically damped; 3. calculate the phase step response's following parameters: a. b. c. d. rise time T peak time Tp (if applicable) percent overshoot %OS(if applicable) settling time T, c) calculate the steady state phase error lim0e(t) for both PLL types, and draw conclusions whether your PLL can track the: i. incoming signal's...
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...
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
Do only parts C and D 1. A second-order system has the following transfer function that...
Do only parts C and D
1. A second-order system has the following transfer function that describes its response: F(s)- s2 +as + 9 A. For a -3, calculate the following performance specifications of the system: Natural frequency (on) Damping ratio( Estimated rise time and settling time with ±5% change (tr, ts) Estimated overshoot (MP) . B. Label (a) ±5% range of steady state, (b) tr, (c) ts, and (d) MP on the step response curve below (You may also...
Question 2 For the system shown below use the MATLAB to find: X + 0.5s+1.3 s+1.2s+1.6s For the previous system if K-1, and the input is sin(2t) find: 1) 2) 3) 4) Peak amplitude Rise time Settling time Steady state value Question 3 For the system shown below If the input is unit step find: 1) 2) 3) 4) Peak amplitude Rise time Settling time Steady state value
Question 2 For the system shown below use the MATLAB to find:...
Problem 1) (25 points) Suppose that a second order system has the pole pair of –2 jn and no zeros. (a) Determine the kind of the unit step time response (overdamped, undamped, etc.) and write its general form. (05 points) (b) Find the settling and peak times, T, and Tp (if appropriate), respectively. (05 points) (c) Write the system's transfer function that produces a unit step time response having the steady- state value Css of 10. (05 points) (d) Find...
10 Marks Consider the following second-order system 56 u. (a) 2 Marks] What are the poles of the system? (b) 2 Marks] What is the meaning that the system be stable in terms of system response x(t)? Is the system stable or not? (c) [6 Marks] Design a rate-feedback PD controller u(t) — К,(r — г) - Кай so that the system response to a step input has a settling time around 2 sec and an overshoot of about 5%....
Problem 7.2 The differential equations for a second-order thermal system are y=x2 where u is the control input. (a) Show that the plant is type zero. As a consequence, the steady-state error using proportional control is non-zero. Find the steady-state error as a function of G (b) To achieve zero steady-state error, integral control will be used, by adding the state variable zo with which is appended to the original equations, making the system third-order. For the resulting third-order system,...
please help to solve this. Thank you
B1. Consider the second order system where damping ratio 3-0.6 and natural angular frequency Ww=5 rad/sec. find the rise time tr, peak time tp, maximum overshoot Mp, and settling time ts (2%) when the system is subjected to a unit-step input. I B2. Find the steady-state errors for inputs of 5 u(t), 5t u(t), and 5t.u(t) to the system shown in the following figure. The function u(t) is the unit step. R(S) +...
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...
2. then design the LF components Ri. R2,and C to produce and plot with Matlab the following step responses by the PLL a. overdamped, b. underdamped, c. critically damped; 3. calculate the phase step response's following parameters: a. b. c. d. rise time T peak time Tp (if applicable) percent overshoot %OS(if applicable) settling time T, c) calculate the steady state phase error lim0e(t) for both PLL types, and draw conclusions whether your PLL can track the: i. incoming signal's...
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...
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
Do only parts C and D
1. A second-order system has the following transfer function that describes its response: F(s)- s2 +as + 9 A. For a -3, calculate the following performance specifications of the system: Natural frequency (on) Damping ratio( Estimated rise time and settling time with ±5% change (tr, ts) Estimated overshoot (MP) . B. Label (a) ±5% range of steady state, (b) tr, (c) ts, and (d) MP on the step response curve below (You may also...
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