Answer the following questions:
1- Explain why the new gain cross over frequency must be selected extremely far away from the zero of the compensator when lag compensator is used in control systems.
2- Explain how gain compensation affect the stability of a control system, and how it affects the transient response of a system.
3- For a second order unstable system with 2 poles in the RHP, explain how adding pole compensator k/s+p to the loop will never help to stabilize the system while adding zero compensator K (s+z) helps to make the system stable.
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