- O Marks The Transfer Functions Of The Control System Shown In Figure Q1a Are As Follows G S K S 3 2 Gp S S 5 1 (24.27 KiB) Viewed 61 times
FOR e) r(t)= 1.6u(t)
steady state error , ess<0.15
please answer all parts of this question .
o marks) The transfer functions of the control system shown in Figure Q1a are as follows: G(S) K (s + 3)2 Gp(s) = (s + 5) (s + 1)(+4) and H(s) = 1. R(S) r(t) + E(S) e(t) Gc(s) Go(s) C(s) c(t) H(s) Figure Q1a
(c) Derive an expression for the open-loop frequency response of the system with respect to K for w+ 0 and w+ c and hence, show a simple Nyquist sketch of the open-loop response of the system. [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<0.13. Determine the minimum value of that would satisfy the design requirement [6 marks)