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Closed-Notes, Closed-Book, No Internet. Perform independently. Formula Sheet on the following page. Consider the following system...
help 3. (30 pts) A dynamic system is represented by the following third-order transfer funct transfer...
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3. (30 pts) A dynamic system is represented by the following third-order transfer funct transfer function: 96 G(8) 75 +22)(52 +8s + 32) (a) Explain why a second-order approximation is valid for this system. For a step input, R(s) = . and an output, C(s), determine the following parameters for the non-normalized second-order approximation: (b) settling time (c) rise time (d) the steady-state value of c(t)
Question #4 (25 points): Consider the open loop system that has the following transfer function 1 G(S) = 10s+ 35 Us...
Question #4 (25 points): Consider the open loop system that has the following transfer function 1 G(S) = 10s+ 35 Using Matlab: a) Plot the step response of the open loop system and note the settling time and steady state 15 pts error. b) Add proportional control K 300 and simulate the step response of the closed loop 15 pts system. Note the settling time, %OS and steady state error. c) Add proportional derivate control Kp 300, Ko 10 and...
Problem 1. Consider the following mass, spring, and damper system. Let the force F be the...
Problem 1. Consider the following mass, spring, and damper system. Let the force F be the input and the position x be the output. M-1 kg b- 10 N s/m k 20 N/nm F = 1 N when t>=0 PART UNIT FEEDBACK CONTROL SYSTEM 5) Construct a unit feedback control for the mass-spring-damper system 6) Draw the block diagram of the unit feedback control system 7) Find the Transfer Function of the closed-loop (CL) system 8) Find and plot the...
You will look at both 1st and 2nd order approaches as you perform your analysis. Use math lab and Simulink as needed. Please show all calculations and any other means of analysis / simulation for full...
You will look at both 1st and 2nd order
approaches as you perform your analysis. Use math lab and Simulink
as needed.
Please show all calculations and any other means of analysis /
simulation for full credit.
Question three is the one needed to be solved, but 2 is needed
to solve 3.
Question 2) (25 points) Suppose instead of the cooling chamber modeled as a 1t order system, that the chamber was modeled as a 2nd system due to...
13. Consider the unity feedback system of Figure P11.1 with G(s) s(s+5s 20) The uncompensated sys...
13. Consider the unity feedback system of Figure P11.1 with G(s) s(s+5s 20) The uncompensated system has about 55% overshoot and a peak time of 0.5 second when K 10. Do the following: [Section: 11.4] . Use frequency response methods to design a lead compensator to reduce the percent overshoot to 10%, while keeping the peak time and steady-state error about the same or less. Make any required second-order approximations. b. Use MATLAB or any other computer MATLAB ML program...
Answer the following questions: К R(s) C(s) к, ST1 Find the closed loop transfer function from...
Answer the following questions: К R(s) C(s) к, ST1 Find the closed loop transfer function from R(s) to C(s) for the system of the diagram above. Draw the root locus for the system in the diagram above as a function of K Draw the unit step response for the system in the diagram above marking the settling time, peak time and maximum output. Find all the possibilities: overdamped, critically damped, underdamped. Find an expression to the steady state error to...
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. 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...
Consider the closed loop system defined by the following block diagram. a) Compute the transfer function...
Consider the closed loop system defined by the following block diagram. a) Compute the transfer function E(s)/R(s). b) Determine the steady state error for a unit-step 1. Controller ant Itly Ro- +- HI- 4단Toy , c) d) e) reference input signal. Determine the steady state error response for a unit-ramp reference input signal. Determine the locations of the closed loop poles of the system. Select system parameters kp and ki in terms of k so that damping coefficient V2/2 and...
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) +...
help
3. (30 pts) A dynamic system is represented by the following third-order transfer funct transfer function: 96 G(8) 75 +22)(52 +8s + 32) (a) Explain why a second-order approximation is valid for this system. For a step input, R(s) = . and an output, C(s), determine the following parameters for the non-normalized second-order approximation: (b) settling time (c) rise time (d) the steady-state value of c(t)
Question #4 (25 points): Consider the open loop system that has the following transfer function 1 G(S) = 10s+ 35 Using Matlab: a) Plot the step response of the open loop system and note the settling time and steady state 15 pts error. b) Add proportional control K 300 and simulate the step response of the closed loop 15 pts system. Note the settling time, %OS and steady state error. c) Add proportional derivate control Kp 300, Ko 10 and...
Problem 1. Consider the following mass, spring, and damper system. Let the force F be the input and the position x be the output. M-1 kg b- 10 N s/m k 20 N/nm F = 1 N when t>=0 PART UNIT FEEDBACK CONTROL SYSTEM 5) Construct a unit feedback control for the mass-spring-damper system 6) Draw the block diagram of the unit feedback control system 7) Find the Transfer Function of the closed-loop (CL) system 8) Find and plot the...
You will look at both 1st and 2nd order
approaches as you perform your analysis. Use math lab and Simulink
as needed.
Please show all calculations and any other means of analysis /
simulation for full credit.
Question three is the one needed to be solved, but 2 is needed
to solve 3.
Question 2) (25 points) Suppose instead of the cooling chamber modeled as a 1t order system, that the chamber was modeled as a 2nd system due to...
13. Consider the unity feedback system of Figure P11.1 with G(s) s(s+5s 20) The uncompensated system has about 55% overshoot and a peak time of 0.5 second when K 10. Do the following: [Section: 11.4] . Use frequency response methods to design a lead compensator to reduce the percent overshoot to 10%, while keeping the peak time and steady-state error about the same or less. Make any required second-order approximations. b. Use MATLAB or any other computer MATLAB ML program...
Answer the following questions: К R(s) C(s) к, ST1 Find the closed loop transfer function from R(s) to C(s) for the system of the diagram above. Draw the root locus for the system in the diagram above as a function of K Draw the unit step response for the system in the diagram above marking the settling time, peak time and maximum output. Find all the possibilities: overdamped, critically damped, underdamped. Find an expression to the steady state error to...
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. 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...
Consider the closed loop system defined by the following block diagram. a) Compute the transfer function E(s)/R(s). b) Determine the steady state error for a unit-step 1. Controller ant Itly Ro- +- HI- 4단Toy , c) d) e) reference input signal. Determine the steady state error response for a unit-ramp reference input signal. Determine the locations of the closed loop poles of the system. Select system parameters kp and ki in terms of k so that damping coefficient V2/2 and...
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) +...
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