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If the performance index of a phase lead compensator is (s+a)/ (s+b) and that of a lag compensator is (s+p)/(s+q), then which one of the following sets of conditions must be satisfied?

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If the performance index of a phase lead compensator is (s+a)/ (s+b) and that of a lag compensator is (s+p)/(s+q), then which one of the following sets of conditions must be satisfied?

(a) a>b and p<q

(b) a>b and p<q

(c) a<b and p<q

(d) a<b and p>q

I got this question in an online interview.

My question is from Performance Indices topic in division Time Response Analysis, Design Specifications and Performance Indices of Control Systems

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Correct option is (d) a<b and p>q

For explanation I would say: In phase lead compensator, zero is nearer to origin. In phase lag compensator, pole is nearer to origin.

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