For a system shown in Figure 2, (a) When K(s) = 1 the poles of the closed loop system are given in Figure 3 and a steady state value of css = 0.7is observed for a unit step input. Determine K1, zeta, and omega (b) Design the controller K(s) that provides the zero steady state error ess = 0. Poles for the controlled system should be placed as shown in Figure 4.

Fig: 1

Fig: 2

Fig: 3

Fig: 4