(1). Consider the transfer function: H6(3): 27/11 *(1+0)*(1+ Find the following: (a). HG (0) (b). 20...
Consider the transfer function of a DC motor given by G(s) = 1 / s(s+2) 3. Consider the transfer function of a DC motor given by 1 G(s) s (s2) The objective of this question is to consider the problem of control design for this DC motor, with the feedback control architecture shown in the figure below d(t r(t) e(t) e(t) C(s) G(s) Figure 4: A feedback control system (a) Find the magnitude and the phase of the frequency response...
QUESTION 1 Given the transfer function for a control system: 10 G(s) (1 + s)(0.5s + 1) 1.1 Determine the polar representation: Magnitude (gain) and Phase (polar form), as a function of angular frequency w. Show steps. (6) 1.2 Make use of the table below and determine the Magnitude, Magnitude (in dB) and phase for the indicated frequencies. (rad/sec) G(jw)- Magnitude Gain [dB] = 20 log10 Magnitude Phase [degrees] 0.5 5 50
Problem 2 An RC circuit ( with an active component) has the following transfer function (where R and Care positive) H(s) - Vout(8) _R|| R/10k12 Vin(8) 10KN 1 + $RC Where s = jw Find the value of the resistor and the value of the capacitor so that: for w = 0 rad/s, H(jw)lde = +12dB at f = 1kHz, |H(jw)lab = +9dB Problem 3 The transfer function of a circuit is given by H(S) = Vout(s) Vin(s) Where s...
Chapter 12, Problem 12.21 (Multistep) Part 1 Correct. Sketch the magnitude characteristic of the Bode plot for the transfer function 30(0.060 * jo + 1) jojo + 1)(0.0024 * ja + 1) H0) = Shown here is the radian frequency axis for w > 0. The labeled frequencies represent the break frequencies in the transfer function H(o) (not necessarily drawn to scale). -+ W + w W3 W (rad/sec) What are the numerical values of the break frequencies w1, wz,...
I need help with this so bad. Please answer ASAP. Thanks 1. For the transfer function given below, generate frequency response using bode command in MATLAB, and tabulate frequency response data (Frequency, Magnitude, Log Magnitude or dB and Phase) 50 G(s) (s+1)(s+2)(s5) a) Determine gain and phase margins from the frequency response table b) Verifiy the results using Bode diagrams c) Design a gain only compensator that results in a phase margin of 45 degrees Frequency response data can be...
21 Vi Z2 Vo Figure 1 1. Ref: Figure 1. Let Z1 L (an inductor), Z2 - R (a resistor). Vi Calculate the magnitude and phase of the transfer function H(w) Figure 1 T 2. Repeat #1 with L = 100 mH, R 1kΩ. a) Plot the frequency response in dB* on a both on a linear scale and then a log scale from ω-1 to 100,000,000 rad/sec with points every decade (1 b) 1,000 etc). 10 100 Plot the...
consider a negative unity feedback system whose feedforward transfer function is: (s) - 1/((s+0.11(s+1)(s+10) Brawa Bode plot of the open loop transfer function that includes an asymptotic and approximate estimate for both magnitude and phase. Answer he following questions Asymptotic phase lag at 1 rad/sec is _ degrees 0 -45 -90 0-135 -180 225 270 325 -360 Asymptotic phase lag at 10 rad/sec is _ degrees 0 -45 -90 0 -135 -180 -225 -270 360 none of these Asymptotic phase...
b) Given a second order system with the following open loop transfer function where damping ratio, } = 0.707 and natural frequency, Wn= 2.5. wn? G(S) = S2 + 23wns +wn? i. Determine the steady state error to an appropriate input via a calculation method using the transfer function. Compare your answer with the steady state error from the exact frequency response for this system given in Figure Q4(b). (5 marks) ii. Evaluate the difference of the exact frequency response...
Consider a negative feedback system whose open-loop transfer function is: G(s)H(s)=K/(s(s+1)) Write a MATLAB program to obtain the root-locus plot of G(s)H(s). [2 marks] What are the locations of poles when K = 0.19. [2 marks] When K = 0.4, what are the locations of poles? [3 marks] Find values of the damping ratio, % overshoot and frequency when K = 0.4. [3 marks] Write a MATLAB program to obtain a bode plot of G(s)H(s) when K = 1. [2...
QUESTION #2 PLEASE 1. Derive the transfer function for the circuit shown below. Plot H(s) versus frequency in Hertz, on a semilog scale. Ri 11.3 k Ri 22.6 k R R = 68.1 kN R3 C C 0.01 uF R2 Vout(s) Vin(s) C2 10 (s+5) H(s) = (s+100)(s5000) , (a) draw the magnitude Bode plot 2. For the transfer function and find the approximate maximum value of (H(jw) in dB, (b) find the value of w where 1 for w>5...