The open-loop transfer function of a plant is given as G(s)=1s2−1. If the plant is operated in a unity feedback configuration,then the lead compensator that can stabilize this control system is
A
10(s−1)s+2
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B
10(s+4)s+2
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C
10(s+2)s+10
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D
2(s+2)s+10
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Solution
The correct option is C10(s+2)s+10 Lead compensator is required for stability.
Controllers given in option (a) and option (b) are not lead compensator. From option (c) and (d), with option (d) system becomes unstable hence option (c) is correct.