The time response of a control system given by the following transfer function is: 546 G(s) = 2+35+2 (b) G(t)=4e-t-Se-2t (a) G(t) = 5e-4e-2 Question (4) (c) G(t) = 5e-4e-2t In the control system shown below determine the value of a such that the damping ratio 5-0.8 and obtain the values of rise time, peak time, and maximum peak overshoot. Place your answers in the spaces below. R(S) 4.1) The value of a is: (a) a 0.1 (b) a=-0.5 4.2) The natural frequency , in rad/s is: (a) 25 (b) 5 4.3) The rise time t, in seconds is: (a) 1.03 (b) 1.5 4.4) The peak time t, in seconds is: (a) 1.5 (b) 1.04 4.5) The maximum % overshoot %Mis: (a) 22.13 (b) 23.5 Answer: The system is (a) Stable (c) a = 0.6 (b) Unstable) (c) 0.77 (c) 0.83 (c) 0.83 (c) 13.2 25 s(+0.6) 1+0.5 (d) a 0.296 (d) 2.828 (d) 22 (d) 1.83 (d) 15 Question (5) The characteristic equation is given for a control system. Complete the Routh array and state if the system is stable or not. CIK 25 +35 +25 +5+1