The general feedback contral system with forward-path transfer functions. Gc(s) (controller) and Gp(s) (plant) and feedback transfer function H(S). r(t) + e(t) Gc(s) u(t). H(S) The system transfer functions are: Ge(s)=

Kp Gp(s) Gp (S) = 6 5+2 y(t) H(s) = 1 Use MATLAB to compute the closed-loop transfer function T(S) if the P-gain is Kp =3. Note: T(S)= Y(S)/R(S) 6 Compute the rosts of the closed-loop transfer function and estimate the unit-step response characteristics such as settling time and steady-state response. Does the closed-loop unit-step responce exhibit oscillations? Explain. Create two (2) SIMULINK models: one using the block diagram shown above. and another using the closed-loop transfer function T(S).. Simulate the unit-step regronce, r(t) = U(t), using both SIMULINK models and plat output y(t). Verify that both SIMULINK models produce the same results and verify your step-response calculations from part (b).