08-05-2012, 04:47 PM
DESIGN OF P, PI, PID CONTROLLER
[attachment=21601]
THEORY
Proportional Controller
1. The Proportional Controller is a device that produces the control signal, u (t) which is
Proportional to the input error signal e (t).
In P – controller, u (t) e (t).
Therefore u (t) = Kp c (t).
Where Kp – Proportional gain or constant.
2. The Proportional plus Integral Controller (PI – Controller) produces an output signal
consisting of two terms one on proportional to error signal and the other proportional to
the integral of error signal
In PI – Controller, u (t) [e (t) + | e (t) dt]
Therefore, u (t) = e (t) + Kp / Ti | e (t) dt
Where Kp – Proportional gain or constant,
Ti – Integral Time.
3. The PID Controller produces an output signal consisting of three terms one on
proportional to error signal and the another one proportional to the integral of error
signal and the third one is proportional to derivative of error signal.
In PID Controller, u (t) [e (t) + | e (t) + d /dt ((e (t))]
Therefore, u (t) = e (t) + Kp / Ti | e (t) dt + Kp Td d /dt ((e(t))]
Where Kp – Proportional gain or constant,
Ti – Integral Time.
Td – Derivative Time.
EC2259 Electrical Engineering And Control System Lab Manual
Type 0 First Order System with P – Controller
Computer CH 0 Computer CH 1
EC2259 Electrical Engineering And Control System Lab Manual
Prepared by G.Panneerselvam, Vel Tech Multi Tech
Procedure
Type – 0 First Order System with P – Controller
1. Connections are given as per the circuit diagram.
2. Set Proportional Band = 80, Integral Time = 64000 and Derivative Time = 0.
3. Measure the performance specifications.
Type – 0 First Order System with PI – Controller
1. Connections are given as per the circuit diagram.
2. Set Proportional Band = 80, Integral Time = 30 and Derivative Time = 0.
3. Measure the performance specifications.
Type – 0 First Order System with PI – Controller
1. Connections are given as per the circuit diagram.
2. Set Proportional Band = 80, Integral Time = 30 and Derivative Time = 0.1.
3. Measure the performance specifications.
[attachment=21601]
THEORY
Proportional Controller
1. The Proportional Controller is a device that produces the control signal, u (t) which is
Proportional to the input error signal e (t).
In P – controller, u (t) e (t).
Therefore u (t) = Kp c (t).
Where Kp – Proportional gain or constant.
2. The Proportional plus Integral Controller (PI – Controller) produces an output signal
consisting of two terms one on proportional to error signal and the other proportional to
the integral of error signal
In PI – Controller, u (t) [e (t) + | e (t) dt]
Therefore, u (t) = e (t) + Kp / Ti | e (t) dt
Where Kp – Proportional gain or constant,
Ti – Integral Time.
3. The PID Controller produces an output signal consisting of three terms one on
proportional to error signal and the another one proportional to the integral of error
signal and the third one is proportional to derivative of error signal.
In PID Controller, u (t) [e (t) + | e (t) + d /dt ((e (t))]
Therefore, u (t) = e (t) + Kp / Ti | e (t) dt + Kp Td d /dt ((e(t))]
Where Kp – Proportional gain or constant,
Ti – Integral Time.
Td – Derivative Time.
EC2259 Electrical Engineering And Control System Lab Manual
Type 0 First Order System with P – Controller
Computer CH 0 Computer CH 1
EC2259 Electrical Engineering And Control System Lab Manual
Prepared by G.Panneerselvam, Vel Tech Multi Tech
Procedure
Type – 0 First Order System with P – Controller
1. Connections are given as per the circuit diagram.
2. Set Proportional Band = 80, Integral Time = 64000 and Derivative Time = 0.
3. Measure the performance specifications.
Type – 0 First Order System with PI – Controller
1. Connections are given as per the circuit diagram.
2. Set Proportional Band = 80, Integral Time = 30 and Derivative Time = 0.
3. Measure the performance specifications.
Type – 0 First Order System with PI – Controller
1. Connections are given as per the circuit diagram.
2. Set Proportional Band = 80, Integral Time = 30 and Derivative Time = 0.1.
3. Measure the performance specifications.