Given the open-loop transfer function of the control system:G(s)=800(s + 0.5)(s+9)(s² + 2s + 25)Draw the Bode plot of G(s) and determine:(i)Gain crossover frequency (0 dB frequency)(ii) Phase crossover frequency (180° frequency)Phase marginDamping ratio (5)Peak value (MP)Percentage overshoot (% OS)(iii)Gain margin(iv)(v)(vi)(vii)(viii)(ix)(x)(xi)Peak time (Tp)Frequency at which the peak/overshoot occurs (wp)Closed-loop bandwidthSettling time (Ts)

From the Bode plot, we can determine the following parameters:Gain margin: The gain margin is the…

Answered: Given the open-loop transfer function…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Which of the following is the gain value and oscillation frequency that will allow the system to oscillate, given by the open loop transfer function G(s) = K / s*(s+10)*(s+20)? a) K=4.76 and w = 11.83 rad/s. b) K=47.6 and w = 1.183 rad/s. It is given with K=6000 and w 14.14 rad/s. d) K=60 and w= 1.414 rad/s.
Which of the following method is used to find the stability of closed loop system without finding the roots of the closed loop system? a-Bode Plot b-Root Locus Method c-Nyquist Stability Criterion d-Routh Hurwitz Criterion
On the circuit below, assume all initial conditions are 0 and that R = 1kΩ, L = 1mH, and C = 1uF. 1. What is the pass band gain?2. Sketch by hand the bode plots of the system. Clearly explain your reasoning.
A system is described by transfer function H(s). The frequency response for such system is shown in Figure 1.2 (attached). Use the frequency response data to perform the following tasks: (i) Obtain the gain and phase margins. (ii) Design a lead compensator to increase the phase margin to at least 33°. (iii) Design a lag compensator to increase the phase margin to at least 43°.
Figure illustrates the asymptotic Bode plot for a bio-potential amplifier. a. Find the transfer function of the system and express it in the standard form.b. Determine the differential equation that relates the output to the input.c. Find frequency response function of the system.d. Find the output v0(t) of the system if the input is vi(t) = 1 + 0.01cos(0.1t) + 0.001cos(10t) + 0.1cos(1000t)
G(S) =100(s+10)/s(s+5)(s+20) 3. Construct the bode Plot of the system using the semilog paper provided.4. Determine the Gain margin and phase margin of G(jw)5. Using the Bode diagram determine if system is stable.
For a basic passive RLC bandpass filter, I am calculating the values of RLC for a specific resonance frequency and bandwidth. The resistor is 1 kilo-Ohm. For a bandwidth of 600 Hz, and a resonance frequency of 2kHz, what are the values of L and C given the following equations:Bandwidth = R/Lω0 = (1/LC)^(1/2)
753. For the transfer function (TF) 2s/(s+3) and resulting Bode Plot, calculate the gains (dB) at the corner, one decade below, and one decade above. Also calculate the phase (deg) of the TF at the same three frequencies. Last answer is w_corner (rad/sec) Find: gdB_corner_f, gdB_low_f, gdB_high_f, phase_corner_f(deg), phase_low_f(deg), phase_high_f(deg), w_corner(rad/sec)
Sketch a Bode plot, using straight-line approximation, for the range of frequencies from 1 Hz up to 1 MHz. Include magnitude and phase plots. put magnitude in dB. Graph should include: -how fast the transfer function “rolls off” below the cut-off frequency (in dB/decade) -the phase and amplitude for the three frequencies: ω = ωC, ω = 10∗ωC, ω = 0.1∗ωC fc = 500 Hz ωC = 2π(fc) This is for a passive high pass filter (single resistor, single capacitor)
1) from rootlocus fig , Determine damping ratio and ( Wn ) of the closed loop system for K=10.2) Sketch the approximate graph of the Bode magnitude of the transfer function (use K=100). Please answer me part 1,2
Sketch the Bode plot for the given function. G(s) = K/ S(S+3)(S+6) Determine the value of (i) Gain cross over frequency (ii) Phase cross over frequency (iii) Gain margin (iv) Phase margin (v) Value of k for stability
A transfer function is given by H( f )= 10 1−j( f/500 ) Sketch the asymptotic magnitude and phase Bode plots to scale. What is the value of the halfpower frequency?

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