Automatic Control Systems
The addition of a pole to the open loop transfer function pulls the root locus

To the left and making the system more stable
To the right
None of these
Towards right or left depending on the position of new pole

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Automatic Control Systems
A lag compensator

Improves steady state behavior of the system
Improves steady state behavior and preserves the transient response of the system
Speeds up the transient response of the system
Improves steady state behavior and speeds up the transient response of the system

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