- 8 Marks C Derive An Expression For The Open Loop Frequency Response Of The System With Respect To K For W 0 And W 1 (476.45 KiB) Viewed 39 times
- 8 Marks C Derive An Expression For The Open Loop Frequency Response Of The System With Respect To K For W 0 And W 2 (476.45 KiB) Viewed 39 times
A=6
B=5
so r(t) = 1.6u(t)
steady state error <0.15
please provide a full answer showing all the steps
please solve all 3 parts
[8 marks (c) Derive an expression for the open-loop frequency response of the system with respect to K for w → 0 and w → oo 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 K 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 K that would satisfy the design requirement. [6 marks]
[8 marks (c) Derive an expression for the open-loop frequency response of the system with respect to K for w → 0 and w → oo 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 K 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 K that would satisfy the design requirement. [6 marks]