Consider the following statements regarding time domain analysis of control systems.

1. Derivative control improves system's transient performance.

2. Integral control does not improve system's steady state performance.

3. Integral control can convert a second order system into a third order system.

Of these statements:
(a) 1 and 2 are correct
(b) 1 and 3 are correct
(c) 2 and 3 are correct
(d) 1, 2 and 3 are correct.