Consider a plant with transfer function as G(s) = %3D s2+2s+1 Its closed loop transfer function with P-Controller with Kp= 3 is 3 C(s) = 3 - GCL1(s) s2+2s+4 While its closed loop transfer function with P and PD controller is given by 2s+3 C2(s) = 3+ 2s GCL2(s) s2+4s+4 While its closed loop transfer function with P and PI controller is given by 3s+1 C3(s) = 3 +- GcL3(s) = %3D %3D s3+2s2+4s+1 While its closed loop transfer function with P, PD and PI controller is given by 2s2+3s+1 C4(s) = 3 + 2s + GCIA(s) = s3+4s2+4s+1 a) Show the graph with step response of GCL1 b) Show the graph with step response of Gc12 c) Show the graph with step response of GcL3 d) Show the graph with step response of GcLs e) In your own words explain the difference produced by using different controllers in GeL, GCL2, GC13, GcLA.