Applications Of PID Controller
PID, proportional–integral–derivative controller or three-term controller is a control loop feedback mechanism.
PID controllers are widely used in industrial control systems and a variety of other applications requiring continuously modulated control. A PID controller continuously calculates an error value [e(t)] as the difference between a desired set point and a measured processor and applies a correction based on proportional, integral and derivative terms, hence the name.
PID controllers are widely used in industrial control systems and a variety of other applications requiring continuously modulated control (to control the amount of flow in a system or process).
Approximately 95% of the closed loop of the operations of industrial automation sector use PID controller. As a feedback controller it delivered the controlled output at desired levels.
Practical Applications
•Can be used in almost all vehicles.
•Provide better stability of the vehicle.
•Increase riding comfort.
- Maintenance cost decreases.
Physical Understanding Of PID Controller
Block Diagram Of PID Controller With Second Order System
Derivation: (Closed Loop Transfer Function Formula)
Using this figure we write,
•Y(s) = G(s) Z(s)
•Z(s) = X(s) — H(s) Y(s)
•Y(s) = G(s) (X(s) — H(s) Y(s)) = G(s) X(s) — G(s) H(s) Y(s)
•Y(s) + G(s) H(s) Y(s) = G(s) X(s)
•Y(s) (1+ G(s) H(s)) = G(s) X(s)
•Y(s)/X(s) = G(s)/1+G(s)H(s)
Where,
•R(s) = Input Transform
•G(s) = Open Loop Gain
•H(s) = Feedback Gain
•C(s) = Output Transform
- Z(s) = Z-Transform
Transfer Function Of PID Controller With Second Order System
