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(s +2) (s+Ds+4) Obtain the magnitude and the Consider the transfer function G(s) phase of G(s) at...
Ds (4) The transfer function of an air-conditioning system is G(s)where time delay s2 +3s +4 D-2 seconds. Please calculate the phase response of G(ja) at ω 1 rad/sec. Ds (4) The transfer function of an air-conditioning system is G(s)where time delay s2 +3s +4 D-2 seconds. Please calculate the phase response of G(ja) at ω 1 rad/sec.
4 Consider the transfer function 180 G(s) = s2+0.6s+9 Hint: this problem considers a pair of complex conjugate poles. Use the steps presented in class for complex poles. Put G(s) in the standard form for Bode plots. Find the initial constant magnitude. Sketch the full Bode plot (both magnitude and phase plots) for G(s). Hint: You can check your answer using the bode (sys) command in MATLAB, where sys G(s). 4 Consider the transfer function 180 G(s) = s2+0.6s+9 Hint:...
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...
1. Obtain the transfer function G(s)-20 Consider the system of Figure 1. Obtain the transfer function G (s) - of the system in Figure 1 (clearly show the derivation of the model) Question 1.(15) Consider the system of Figure T(s) TO) J1 2 kg-m D1 1 N-m-s/rad J2-1 kg-m2 D2 2 N-m-s/rad K = 64 N-m/rad J-16 kg-m2 D3 32 N-m-s/rad Figure 1 1. Obtain the transfer function G(s)-20 Consider the system of Figure 1. Obtain the transfer function G...
Sketch the Bode magnitude and phase plots for the following transfer function: G(s)=- a fimction: G(9)= (s+2016+4) (s + 2)(+4)
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...
Consider the function: 10x2 + 2x + 2.5 = f(s) Obtain: 1.) the transfer function X(s)/F(s) treating f(t) as a unit step function 2.) the transfer function X(s)/F(s) treating f(t) as a unit impulse function Plot both responses using Matlab and explain the differences
QUESTION 2 Consider this 2" order transfer function which was discussed in lecture G(s) 10s+9 The Bode plots (magnitude, phase) for this G(s) are provided in this handout. For the following frequency (i.e."o") values, do complex number calculations as performed in lecture, to verify that this magnitude curve (in decibels) and phase curve (in degrees) are correct “o',-0.03, 0.2, 1, 6, 20, and 60 rad/sec Be sure to show your work CLEARLY, and indicate on the Bode plots the magnitude/phase...
the subject is in digital signal processing 5. Consider a CT system with transfer function This system is called an integrutor because t by he d to the ingent t y)-x(r)dr. Discretize the above system using the bilinear transform. (a) What is the transfer function H'(:) of the resulting DT system b) If xin] is the input and yin] is the output of the resulting DT system, write the (c) Obtain an expression for the frequency response H'(o) of the...
find Consider the Transfer Function Shown Below: G(S) = (s +2) s(s + 3)(s + 5)2 a. Plot the magnitude and phase plots for each element of the above transfer function. (1 b. Plot the Bode magnitude and phase plots of the system in the given logarithmic paper. Use the plotted Bode plots to estimate the gain and phase margins of the system. (10 P d. Is the system stable or not? Explain why? (5 Pts) C.