For a system with Bode diagram as follow, find out the system transfer function, discuss the...
Following transfer functions are given, manually plot the Nyquist diagram and straight line approximation of Bode diagram, discuss the system stability G(s)- 3s2 +8s +6 Show all step by step working out to get to final answer as shown below: Nyquist Diagram Nyquist Diagram -2 15 225 Ren Aus Reel Ai: Bode Daaram Dode Dagran 135 4% 10 Freq eney (as 10 Fraquenes (radie ysrom is stable System is stable
A bode plot of the transfer function, GS = - 25 $2+45+25, is shown as below. Bode Diagram System sys Frequency (rad/s): 7 Magnitude (dB): -3.4 Magnitude (dB) Phase (deg) Systemt sys Frequency (rad/s): 7 Phase (deg): - 130 - 135 - 180 10 Frequency (rad/s) Determine the frequency response y(t) when a sinusoidal function, X(t) = 10 sin (7t +30) is applied to the transfer function as an input signal. (20 points)
The Bode diagram of the forward-path transfer function of a unity- feedback control system is obtained experimentally when the forward gain is fixed to certain value K. a) Find the gain and phase margin of the system from the diagram the best you can read. Is the system stable or unstable? Justify your answer. (25 points) b) Find out how much the gain must be changed from its original value for having a marginally stable system (25 points) Print and...
7.5 (2 points) Given the Bode plot shown below: Bode Diagram 50 -50 E -100 150 O 45 a -90 135 180 10 102 Frequency (radis) 103 10 10 10 Find the associated transfer function Gs).Enter your answer symbolically in terms of s. For proper grading, do not factor out terms in the numerator or denominator, e.g., enter 5-+1015 and not5- (+2+3. G(s)- 7.5 (2 points) Given the Bode plot shown below: Bode Diagram 50 -50 E -100 150 O...
Consider the system given below where K is a constant gain, Gp is the plant, and Ge is a compensator. The Bode Plots of a Gp is given below. Problem 1: Bode Diagram 20 2 40 -60 80 -100 90 135 180 a 225 270 101 10 Frequency (rad/s) 102 a. Looking at the low frequency behavior, determine its number of poles at origin. Explain. b. Looking at the high frequency behavior, determine the number of excess poles. Explain. C....
Given the following Bode plot, is the system stable? Why? Bode Diagram 50 50 -100 -90 -180 10 102 10) 10 10 Frequency (rad/s) Bode Diagram 50 50 -100 -90 -180 10 102 10) 10 10 Frequency (rad/s)
please show steps 5. GH(s) is a minimum-phase system which has the Bode plot shown below. It is desired to increase the phase margin by 40 degrees and also increase the closed-loop system bandwidth. Design a lead compensator for this purpose. Determine (1) the ratio of the pole to the zero, α , (2) the frequency where the maximum phase shift from the compensator should be placed, and then (3) the pole and zero. You need not draw the Bode...
1 Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s). Determine the phase margin, gain-crossover frequency, gain margin and phase-crossover frequency, (Sketch the bode diagram by hand) 2 Consider the system shown as below. Use MATLAB to draw a bode diagram of the open-loop transfer function G(s). Show the gain-crossover frequency and phase-crossover frequency in the Bode diagram and determine the phase margin and gain margin. 3. Consider the system shown as below. Design a...
3. Find an expression for the step response in the time domain for a system H(s) with Bode diagram shown below. Show all working. Bode Diagram -10 20 -30 -40 -50 90 45 10 10 Frequency (rad/s) 102 10 Magnitude (dB) (Bap) aseud Bode Diagram -10 20 -30 -40 -50 90 45 10 10 Frequency (rad/s) 102 10 Magnitude (dB) (Bap) aseud
The Bode diagram of the forward-nath transfer function of a unity-feedback control system is obtained experimentally when the forward gain Kis set at its nominal valuc. (a) Find the gain and phase margins of the system from the diagram as best you can read them. Find the gain- and phase-crossover frequencies. (b) Repeat part (a) if the gain is doubled from its nominal value. (c) Repeat part (a) if the gain is 10 times its nominal value. (d) Find out...