1. There are 8 pole-zero graphs of system transfer functions in Figure E-1. Answer the following...
2. Consider the pole-zero plot of a transfer function H(s) given in Figure P14.2. (a) If the dc gain is -10, find HG). (b) Compute the impulse response. (c) Compute the step response. CHECK: Your answer to (b) should be the derivative of your answer to (c), since the delta function is the derivative of the step function. (d) If the input is 10 ), find the pos- itive number a such that the response does not have a term...
2. The transfer function of a CT LTI system is given by H(s) (s2 +6s +10) (s2 -4s +8) a) Draw the pole-zero plot of the transfer function. b) Show all possible ROC's associated with this transfer function. c) Obtain the impulse response h(t) associated with each ROC of the transfer function. d) Which one (if any) of the impulse responses of part c) is stable?
2. The transfer function of a CT LTI system is given by H(s) (s2...
For all problems -given a transfer function G(s) sketch the magnitude and phase characteristics in the logarithmic scale (i.e. Bode-plots) of the system using the following rules-of-thumb: i. "Normalize" the G(s) by extracting poles/zeros, substituting s-jw and writing the TF using DC-gain KO and time-constants i. Arange break-points (poles, zeros or on for complex-conjugate poles) in ascending order ii Based on the term Ko(ju)Fk, determine: initial slope of the magnitude-response asymptote for low frequencies as F k 20 dB/dec (e.g....
Please solve and show all steps
2. For the following transfer functions, can pole/zero cancellation be approximated for the step response? (You may use MATLAB for this problem) 1.7(s 4) a. G (S) = (52 + 2.65s + 0.255)(s + 4.13) b. G(s)-(s+25) S4s 25)(s+2) If so, find the settling time Ts, rise time TR, peak time Tp, and percent overshoot. If not, explain why.
For each of the transfer functions given below, draw the pole-zero plot and plot the magnitude separate from the phase as a function of frequency. Show only the asymptotic terms that make up the transfer function and then add them to show the composite plot. You can verify your plots (to some extent) by using MATLAB to generate the plots but only as a check that the work you have done is correct. The work that will count for points...
For each of the transfer functions given below, draw the pole-zero plot and using the log- semilog paper provided on Blackboard to plot the magnitude separate from the phase as a function of frequency. Show only the asymptotic terms that make up the transfer function and then add them to show the composite plot. You can verify your plots (to some extent) by using MATLAB to generate the plots but only as a check that the work you have done...
1 a the system stable. For example, in Chapter 2 we derived the transfer function for the inverted pendulum, which, for simple values, might be G(s) for which we have bs)1 and as)-s2-1-(s+)(s 1). Suppose we try Dcl (s) = K Istn . The characteristic equation that results for the system is (4.17) This is the problem that Maxwell faced in his study of governors: Under what conditions on the parameters will all the roots of this equation be in...
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)
Q4. 1 2 3 G 10 pts. Use MATLAB and plot the step response of the following systems G3 2s+1 figure. Gy on the same 2s+1 2s+1 Explain the similarities (at least 1) and differences (at least 1) between these responses. E_ figure. G, G 3 10 pts. Use MATLAB and plot the impulse response of the following systems Explain the similarities and differences between these responses. on the same 25+1 10 pts. Find the time constant (Te), pole(s), DC...
Question 1-4 is about the following mechanical system: Data: ki-20 [N/m] b-2 [Ns/m] k2# 10 [N/m] m2 At) mi Question 1 X1(s) Develop the symbolic transfer function G1(s)2 F(s) 1.1 Determine the differential equation, that this transfer function describe 1.2 Question 2 Sketch the step response for G1(s), using Matlab and explain the process 2.1 Sketch the pole /zero diagram for the transfer function G1(s) and reflect on the relation between the step response and the pole /zero diagram 2.2...