Problem: Let the plant transfer function be G(S)= 100 (1) (s+1)(s+15+100) Let the forward (lead-lag) controller transfer function be H(s) E 5(s+z) s+p with unspecified pole(p) and zero(z). (2) Consider the following three signal relations: one transfer function and two unit-feedback systems with the following block diagrams F [G] ---- Y System A F- + - [K] - [G] - --+---- Y |- | System B F- + ---- |- -- [K] [H] [G]--+- -- System C - Y Homework 2: Answer the following questions Q: 1. Show the ode(t) regarding Y=GF for sys. A. 2. Show the ode(t) regarding Y-feedback(K*G,1)*F for sys. B. 3. Show the ode(t) regarding Y-feedback(K*H*G,1)*F for sys. C. 4. Show the ode(t) of sys. C in state space form. 5. Realize sys A, B and C in Simulink (show slx diagram and scope(f, y) 6. Give ss_error= f(inf) - y(inf) & % overshoot