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Compare Integral controller with derivative controller.

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Integral controller
Derivative controller
Output of integral controller is proportional to integration of error signal 
Output of Derivative controller is proportional to time derivative of error signal
For constant error integral output increases with time
For constant error derivative output is zero
It improves steady state performance
Improves dynamic performance.
Sudden disturbance will not cause any integral action
Sudden disturbance saturates derivative output
Noise insensitive
Noise sensitive and may cause unnecessary control action.

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