2. The Nyquist diagram of a system's loop transfer function is shown in Figure 2. Assume...
The open loop transfer function of an electro-mechanical system with unity feedback is: 24K G(s) S(s+2)(s +6) The Nyquist diagram of G(s) has a shape similar to the one shown below Nyquist diagram Cl When K -1, calculate both the frequency and the gain at which the plot crosses the real axis Hence state the gain margin or critical gain Kc for this system. If K is chosen as K-0.2Kc, show that the gain G(jo) l at a frequency ω-1.308...
4. The Nyquist Diagram (for z-ear with 0 < ??< ?) of the open-loop gain, G(z)H(z), of a single-loop DT feedback control system is shown. The open-loop gain is of the following form G(z)H(z) = k (z N (z) 2+1)(z + 0.824) where No(2) is a polynomial of degree not higher than 3. Complete the Nyquist Diagram and use the Nyquist Criterion to determine the range of k in which the closed-loop system is stable. GH-plane 0 -8k
b) The Nyquist plot of a unity feedback control system is as shown in Figure Q5(b). Nyqulst Diagram x 10 1.5 1- System: N Real: -9.08e-005 0.5- Imag: -5.62e-006 Frequency (rad/sec): -104 -0.5 -15 -1.5 0.5 0.5 1.5 1 2.5 3.5 Real Axis x 10 Figure Q5(b) K If the transfer function of the system is given as G(s) (s+10)(s+50)(s+150) determine the following: The closed loop stability of the system using Nyquist Stability Criterion. i) ii) Gain margin and phase...
A closed-loop system's transfer function is given in the form: T(S) = $3 + 732 - 21s + 10 S6 + 55 – 6s+ - 52 - S + 6 How many poles does the system have on the right-half side, RHS of the s-plane, on the left-half side, LHS of the es-plane, and on the jw-axis. O poles on the RHS, O poles on the LHS, and 6 poles on the jw-axis. 1 pole on the RHS, 1 pole...
A closed-loop system's transfer function is given in the form: T(s) 83 + 752 – 21s + 10 S6 +55 – 654 – 52 – 5 + 6 How many poles does the system have on the right-half side, RHS of the s-plane, on the left-half side, LHS of the es-plane, and on the jw-axis.
(i)Apply the Nyquist criterion to find the gain Kp at which the
closed loop system becomes marginally stable and the practical
range of safe operating gains for the proportional controller.
(ii) Find the gain margin of the system when the operating gain
of the controller Kp = 2. Use Fig. 2 to read the required values
off the plot.
Proportional Controller Process R(S) Y() Figure 1: Unity Feedback Systems Consider again the system in Fig. 1. The plant transfer function...
Problem 3. For the above feedback system, the bode diagram of the stable open-loop transfer function G(s) is plotted below: (a) Find the approximate gain margin and phase margin of the system? Is the closed-loop system stable? (b) Suppose in the closed-loop system (s) is replaced with KG(8). What is the range of K so that the closed-loop system is stable? (C) Determine the system type of G(s). (d) Estimate the steady-state errors of the closed-loop system for tracking the...
transfer function is G(s)
you will sketch a polar plot(nyquist plot)
what figure is right with explanation?? a or b
[?? 3] (10?) ???? G(s) = e-7s ? Polar plot (Nyquist plot)??? ??? ? ?? ??? ?? ?? ??? ??? ??? ?????. im Im 7 0 Re Re ?=0 co crease 0
please provide a detailed answer to part (e) only
Thanks
A2 2013 2. Consider the feedback system in Figure 3 in which G(8) gain. S-2 and K(8) = K is a $ +2 variable 3. + R(S) E (5) D() K(s) G(3) Figure 3 (a) Find the closed-loop transfer function between R(s) and D(s). [3 marks) (b) Sketch the Nyquist diagram of G(8), carefully indicating the direction in which the origin is encircled. Hence or otherwise, find the range of...
Question# 1 (25 points) For a unity feedback system with open loop transfer function K(s+10)(s+20) (s+30)(s2-20s+200) G(s) = Do the following using Matlab: a) Sketch the root locus. b) Find the range of gain, K that makes the system stable c) Find the value of K that yields a damping ratio of 0.707 for the system's closed-loop dominant poles. d) Obtain Ts, Tp, %OS for the closed loop system in part c). e) Find the value of K that yields...