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Assertion (A): The zeroes on the real axis near the origin are generally avoided in design.

Reason (R): In a sluggish system introduction of zeroes can improve the transient response

(a) Both A and R are true and R is correct explanation of A

(b) Both  A and R are true but R is not correct explanation of A

(c) A is true but R is false

(d) A is false but R is true

The question was asked during an interview.

I need to ask this question from Effect of Adding a Zero to a System and Design Specifications of Second-order Systems topic in section Time Response Analysis, Design Specifications and Performance Indices of Control Systems

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Correct option is (b) Both  A and R are true but R is not correct explanation of A

Easy explanation: Zero is defined as the root of the numerator of the transfer function and zero is to introduce a pronounced peak to the system’s response whereby the peak overshoot may increase appreciably.

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