The transfer functions of the control system shown in Figure Q1a are as follows: G(S) K (s + 3)2 ! and H(s) = 1. (s + 5)
Posted: Fri May 20, 2022 7:49 pm
The transfer functions of the control system shown in Figure Q1a are as follows: G(S) K (s + 3)2 ! and H(s) = 1. (s + 5) Gp(s) = (s + 1)(8 + 4) R(S) r(t) + E(S) e(t) G(S) Ge(s) C(s) c(t) H(S) Figure Q1a [6 marks) (d) With the aid of the Routh-Hurwitz stability criterion, investigate the range of the gain that would guarantee the stability of the system and hence, find the frequency of oscillation at the marginal stability point. [8 marks) (e) An input r(t) = 1.Au(t) is applied to the system, where the function u(t) is the unit step function. It is desired that the steady-state error, ess < 0.18. Determine the minimum value of that would satisfy the design requirement. [6 marks]