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.
3. Find an expression for the step response in the time domain for a system H(s)...
Problem 3 (20 points) A Bode plot is a graph of the frequency response of a system. It is a combination of a magnitude plot, expressing the magnitude in dB of the frequency response, and a phase plot expressing the phase shift. Both quantities are plotted on a horizontal axis proportional to the logarithm of the frequency. Below is an example of a Bode plot created in Matlab. Bode Diagram 0 -20 3-40 E-60 -80 180 90 10 10 10...
For a system with Bode diagram as follow, find out the system transfer function, discuss the system stability. Bode Diagram 50 40 -20 90 O. 135 -180 Frequency (rad/s ec) Show all step by step working out to get to final answer as shown below: Transfer function of the bode diagram is 100/(2jw+1)A2
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)
System dynamics course.
Let a transfer function H be 1000s + 10) 100+1000 Use H to respond to the following questions and imperatives a. Write H as a product of standard-form transfer functions Find the frequency response function H(jaw) without simplifying c. Use the axes below to sketch the Bode plot of H. 20 -20 10-1 10° 101 102 103 10 w (rad/s) 90 45 45 -90 -135 -180 10-T 100 101 102 103 101 w (rad/s)
Let a transfer...
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)
6. Quiz W/Th: Consider the system G()(s 40) (s +4) s S- (a) Fill out the table below with the information you would need to sketch the Bode plot of G(s) Break Freq (rad/s) Type (# of LHP/RHP poles/zeros) Magnitude SlopePhase Slope (deg/dec) Term (dB/dec) (b) Calculate the magnitude (in dB) at 0.1 rad/sec and phase (in degrees) at 4 rad/sec (c) Determine which of the following Bode plots is correct for G(s). For full credit, provide enough explanation to...
The Bode magnitude plot of H(o) is shown Find H(w) 0.1 10 ? (rad/s) +20 dB/decade -40 dB/decade
The values for y axes for the first graph on the top is the same
as second graph on the bottom.
Figure 1 shows the Bode diagrams for a particular system. a.) Sketch the polar diagram for this system, accurately indicating the location and numerical values for the phase and gain margins. The phase margin should be given in degrees, and the gain margin in actual units (i.e. not dB). Use arrows to indicate the di . rection of increasing...
Problem 11.37 A system has a transfer function H(S)= 72 +85 +4 (a) (b) In a magnitude Bode diagram of its frequency response what are the values of all the corner frequencies (in radians/second)? What is the slope (in dB/decade) of the magnitude Bode diagram at very low frequencies (approaching zero)? What is the slope (in dB/decade) of the magnitude Bode diagram at very high frequencies (approaching infinity)? (c)
ASAP
ble 3 20 Pts. A transfer function Bode p ots are shown below. Answer the following questions; please eatly draw the appropriate lines as needed, show your work and write your answers in the provided table a. What is the gain margin in dB? b. What is the phase margin in degrees? c. What is the ultimate gain Keu in dB? Also, convert Kc back from dB to a regular gain value. d. What is the ultimate frequency wy...