For the following feedback system $$G\left( s \right) = \frac{1}{{\left( {s + 1} \right)\left( {s + 2} \right)}}.$$ The 2% settling time of the step response is required to be less than 2 seconds.
Which one of the following compensators C(s) achieves this?

A) $$3\left( {\frac{1}{{s + 5}}} \right)$$ B) $$5\left( {\frac{{0.03}}{s} + 1} \right)$$ C) $$2\left( {s + 4} \right)$$ D) $$4\left( {\frac{{s + 8}}{{s + 3}}} \right)$$

Answer & Solution

Correct Answer: Option C

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For the following feedback system G left( s right) = frac...

For the following feedback system $$G\left( s \right) = \frac{1}{{\left( {s + 1} \right)\left( {s + 2} \right)}}.$$ The 2% settling time of the step response is required to be less than 2 seconds. Which one of the following compensators C(s) achieves this?

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For the following feedback system $$G\left( s \right) = \frac{1}{{\left( {s + 1} \right)\left( {s + 2} \right)}}.$$ The 2% settling time of the step response is required to be less than 2 seconds.
Which one of the following compensators C(s) achieves this?