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In Control Systems, what are all of the advantages / disadvantages of using a in series...

In Control Systems, what are all of the advantages / disadvantages of using a in series lead-lag compensation controller instead of just a Proportional Controller.

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Advantage of using Lead lag compensation controller: In this lead compensator provides phase lead at high frequencies. Which improves the response and stability of the system. The lag compensator provides phase lag at low frequencies which reduces the steady state error.

Disadvantages of lead lag over proportional controller : we cannot increase the gain of system or change the transient behavior.

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