how can I find the Gain K which is suitable for
undamped system?
A feedback system is described on the figure above. a. If K=450 find the number of closed-loop poles located on the RHS, LHS and on the jw-axis. b. Find the value of the gain K, which will produce undamped system step response (critical gain). Find the respective oscillating frequency. c. For which values of the system will be (i) stable, (ii) not stable. RS) Cs) K s++38+10:2430s+150 0
R(S) + C(s) K $++383+10s2+30s+150 1 A feedback system is described on the figure above. a. If K=450 find the number of closed-loop poles located on the RHS, LHS and on the jw-axis. b. Find the value of the gain K, which will produce undamped system step response (critical gain). Find the respective oscillating frequency. c. For which values of K the system will be (i) stable, (ii) not stable.
4. a) Describe what is k-anonymity and how it can provide privacy with a suitable example. (5 points) b) With suitable examples, discuss the two types of attacks on k- anonymity. (10 points)
Consider an undamped system where the vector-matrix form of the system model is: Mx+Kx = ft) 90 F(1) M= [ ] K = 5220 -1440 L-1440 2880 and f(t) = -[10] Find the following without using linear algebra software or calculator functions: a) The system's natural frequencies and mode shapes. b) The mass-normalized matrix V that makes VTMV=I.
3. A compressor of mass 700 kg has undamped spring mountings which deflect by 0.5 mm under its weight. This compressor, on its mountings, is installed on a flexible floor whose mass of 1400 kg may be considered as concentrated below the compressor. The floor has negligible damping. The highest natural frequency of vertical vibration of this combined system must not exceed 1.5 times that of the compressor with its spring mountings on a rigid foundation. Find a suitable value...
Q.10- For the system shown in Figure 5 with K (s + 3)(s +5) Gs)s-2)s-4) Find the range of gain, K, which will cause the system to be stable. Cs) Q.11. Draw the Root Locus of the following systems. Find the points of intersection with the real and imaginary axis. 6(s)H(s)- s(s +2) K(s+5) of- Draw the Bode diagram of the following tmamsfer finction. His)- -100 s +12s +21s +10 213- Obtain the phase and gain margins of the system...
Find the dominant poles and gain K like they did in step 1 for the uncompensated system, EXCEPT DO IT FOR 15% OVERSHOOT (zeta = 0.517) which is 121.13 degrees. Show all work Example 9.5 PID Controller Design PROBLEM: Given the system of Figure 9.31, design a PID controller so that the system can operate with a peak time that is two-thirds that of the uncompensated system at 20% overshoot and with zero steady-state error for a step input. R(s)Es)...
(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...
Q.3(a) Transfer function model of a plant is, G(s) The controller is Ge(s)-K, where K is a constant. Find the value of K such that steady-state error for unit ramp input is 0.1. Find the gain margin and the phase mar gin (6 marks) (b) What are the effects on gain margin, phase margin and steady-state error, if the gain K is increased? (3 marks (c) Can the closed loop be unstable if the controller of Q.3(a) is implemented digi...
5. (15 points) Find the range of the gain K for stability of a closed-loop system with the following open- loop transfer function K G(s)H(s) s(s+1)(2s +1)