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A first-order plant P(s) = 1/(s+1) is connected in unity feedback configurati...

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A first-order plant P(s) = 1/(s+1)P(s) = 1/(s+1) is connected in unity feedback configuration with a PI controller. If the controller gains are K_i =2K_i =2 and K_p =1K_p =1 then which of the following statements are true?

A The closed loop system has zero steady-state error for a step input.

The closed loop system has complex conjugate poles at s = −1 \pm js = −1 \pm j

The closed loop system is a first-order system

The close loop system has a zero in the LHP

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