Feedback Control Systems
Posted: Fri May 20, 2022 10:53 pm
Feedback Control Systems
Task 1: Given the transfer function 1 G(S) s2 + 10 + 20 a) i. Step response without controller and note rise time and steady state b) error. i. Implement I controller for the system given in Task 1 for Ki=200. ü. Step response with P controller, Kp=100, Ki=0,Kd=0 and note rise time and steady state error. üi. Implement PI controller for the system given in Task 1 for Kp = 100 and Ki=200. iii. Step response with Kp=200, Ki=0,Kd=0 and note rise time and steady state error. iii iv. Give conclusion of the tasks performed above Give conclusion of the task performed above with respect to time domain specifications
Conclusion: c) i. Implement D controller for the system given in Task 1 for Kd=10. ii. Implement PD controller for the system given in Task 1 for Kp = 200, Kd=10. Task 2 Consider a problem of control of Thermal System. K. G(S) = (T1s + 1)(T25 + 1) ini. Give conclusion of the task performed above with respect to time domain specifications Where ty = 1, T2 = 10, and K, 1000.
The goal is to design a PI controller to track the reference input temperature signal, r(t), which is a ramp with a slope of 30-C/sec and a steady-state value of 300-C and a duration of 30 seconds. It is desired that the system exhibit negligible overshoot. a) For unity Feedback explore the use of open loop control, P control, and PI control to achieve the goal of tracking the reference signal accurately through simple MATLAB code. b) For unity Feedback explore the use of PI control to achieve the goal of tracking the reference signal accurately through PID automatic tunning in simulink. Try using a 2-DOF PI controller as well and observe the difference. Task 3: a) For the given below system tune the PID parameters using Ziegler Nichols method and Plot the step response for the obtained parameters of PID. 1 sys = 3 + 4s2 + 3s + 1 Use process re: curve system (For this method find lag first and for that give step directly to the transfer function)
1 yo) / Slope R A = Reaction rate b) Use Simulink to tune PID, obtain step response and compare results obtained from both parts of a) (Automatic tuning) L=td TASK 4: Lag For the system shown below, r(t) K $ +1 s(s - 1)(8 + 6) y(t) ii Use ultimate sensitivity method to tune PID for the system (Find the gain Ku for which the poles move to the imaginary axis) Find the range of K for stability using a) RH Criterion (by hand) Ultimate Gain Ku and Period Pu om Process b) Root Locus in MATLAB) (use commnd rlocus)
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Conclusion: c) i. Implement D controller for the system given in Task 1 for Kd=10. ii. Implement PD controller for the system given in Task 1 for Kp = 200, Kd=10. Task 2 Consider a problem of control of Thermal System. K. G(S) = (T1s + 1)(T25 + 1) ini. Give conclusion of the task performed above with respect to time domain specifications Where ty = 1, T2 = 10, and K, 1000.
The goal is to design a PI controller to track the reference input temperature signal, r(t), which is a ramp with a slope of 30-C/sec and a steady-state value of 300-C and a duration of 30 seconds. It is desired that the system exhibit negligible overshoot. a) For unity Feedback explore the use of open loop control, P control, and PI control to achieve the goal of tracking the reference signal accurately through simple MATLAB code. b) For unity Feedback explore the use of PI control to achieve the goal of tracking the reference signal accurately through PID automatic tunning in simulink. Try using a 2-DOF PI controller as well and observe the difference. Task 3: a) For the given below system tune the PID parameters using Ziegler Nichols method and Plot the step response for the obtained parameters of PID. 1 sys = 3 + 4s2 + 3s + 1 Use process re: curve system (For this method find lag first and for that give step directly to the transfer function)
1 yo) / Slope R A = Reaction rate b) Use Simulink to tune PID, obtain step response and compare results obtained from both parts of a) (Automatic tuning) L=td TASK 4: Lag For the system shown below, r(t) K $ +1 s(s - 1)(8 + 6) y(t) ii Use ultimate sensitivity method to tune PID for the system (Find the gain Ku for which the poles move to the imaginary axis) Find the range of K for stability using a) RH Criterion (by hand) Ultimate Gain Ku and Period Pu om Process b) Root Locus in MATLAB) (use commnd rlocus)