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A PI controller is implemented in a system with unity negative feedback. What is the primary role of the integral action in a PI controller?
Question

A PI controller is implemented in a system with unity negative feedback. What is the primary role of the integral action in a PI controller?

A.

It increases steady-state error

B.

It decreases steady-state error

C.

It improves transient response

D.

It decreases transient response

Correct option is B

In a PI controller, the integral (I) action integrates the error over time:uI(t)=KIe(t) dtPrimary role of integral action: Accumulates past errors Forces the steady-state error to zero (for step inputs) Compensates for constant disturbances and biases\text{In a PI controller, the integral (I) action integrates the error over time:} \\[8pt]u_I(t) = K_I \int e(t)\, dt \\[10pt]\textbf{Primary role of integral action:} \\[6pt]\bullet \ \text{Accumulates past errors} \\[4pt]\bullet \ \text{Forces the steady-state error to zero (for step inputs)} \\[4pt]\bullet \ \text{Compensates for constant disturbances and biases}​​

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