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Consider a unity-gain negative feedback system consisting of the plant G(s) (given below) and a proportional-integral controller. Let the proportional gain and integral gain be 3 and 1, respectively. For a unit step reference input, the final values of the controller output and the plant output, respectively, are G(s) = 1/(s - 1)

1. ∞, ∞
2. 1, 0
3. 1, -1
4. -1, 1

Correct answer: -1, 1

Solution

In a unity-gain negative feedback system with a proportional-integral controller, the controller output stabilizes to a value that compensates for the steady-state error, leading to a final output of -1 for the plant, while the output of the plant reaches 1 due to the nature of the system and the input.

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