Find the values of $$K_P, K_1 and K_D$$ for PID controller whose characteristics equation has real roots at $$10, \epsilon = 0.8 and \omega_n = 2rad/s$$

A

$$K_D = 1.8, K_P = 8, K_1 = 10$$

B

$$K_D = 1.8, K_P = 4, K_1 = 5$$

C

$$K_D = 3.6, K_P = 8, K_1 = 20$$

D

$$K_D = 1.8, K_P = 8, K_1 = 20$$