How do poles and zeros affect step response?
Adding a LHP zero to the transfer function makes the step response faster (decreases the rise time and the peak time) and increases the overshoot. Adding a RHP zero to the transfer function makes the step response slower, and can make the response undershoot.
What is meant by transient response?
Definition of 'transient response'
A transient response of a circuit is a temporary change in the way that it behaves due to an external excitation, that will disappear with time. Damping oscillation is a typical transient response where the output value oscillates until finally reaching a steady-state value.