Homework Answers
Pole of the system is at ......
s = 0.75 + 1.39j , 0.75 - 1.39j
and zero of the system is at......
s = 1
Both poles lies in the right half plane so system is unstable
System frequency response can not be evaluated, since the system is unstable.
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QUESTION 2 If the transfer function is 2s-3s +5 select the correct answer OSystem frequency response...
Some system has the transfer function shown. Choose the correct answer regarding the stability of the...
Some system has the transfer function shown. Choose the correct answer regarding the stability of the system. 1 H(s) = (s + 1 - j) (s + 1 + i) The system is stable. The system is unstable. The system is marginally stable.
a continuous time causal LTI system has a transfer function: H(s)=(s+3)/(s^2 +3s +2) a) find the...
a continuous time causal LTI system has a transfer function: H(s)=(s+3)/(s^2 +3s +2) a) find the poles and zeros b) indicate the poles and the zeros on the s-plane indicate the region of convergence (ROC) c) write the differential equation of the system. d) determine the gain of the system at dc (ie the transfer function at w=0) e) is the system described by H(s) stable? explain f) for the system described by H(s), does the Fourier transform H(jw) exist?...
Question 2. The transfer Function of a feedback control loop is given by: C(s)- R(s) (3s...
Question 2. The transfer Function of a feedback control loop is given by: C(s)- R(s) (3s + where Ke is the controller gain. Derive the relationships between the gain, time constant, and damping ratio of the second-order transfer function to the controller gain. Find the ranges of the controller gain for which the response is (i) overdamped, (ii) underdamped, and (iii) undamped. Can the response be unstable for any positive values of the controller gain? x (s) y(s) = {1...
Frequency Response of Unknown Dynamic System Determine the system transfer function from the 2 -5 following...
Frequency Response of Unknown Dynamic System Determine the system transfer function from the 2 -5 following Bode plot: 10 o -15 -20 -25 -30 0 10%2 10 10 10 Frequency (rad/s)
Problem 2 (3 points) Given the unilateral Laplace transform of the impulse response for a causal...
Problem 2 (3 points) Given the unilateral Laplace transform of the impulse response for a causal system H(s) Determine h(t) the impulse response? Hint synthetic division! (s+10) 40 t-10 Problem 3 a) (2 points) What is the initial value of time function f(t) corresponding to the one sided Laplace Transform F(s) = (i.e. f(t) is causal) s(s+10)(2+4) lim f(t) = 0 40 lim f(t) = 1. t-0 10 x 4 lim f(t) = 0 t-0 lim f(t) cannot be computed...
Signal and Systems Problem 2 (3 points) Given the unilateral Laplace transform of the impulse response...
Signal and Systems
Problem 2 (3 points) Given the unilateral Laplace transform of the impulse response for a causal system H(s) Determine h(t) the impulse response? Hint synthetic division! (s+10) 40 t-10 Problem 3 a) (2 points) What is the initial value of time function f(t) corresponding to the one sided Laplace Transform F(s) = (i.e. f(t) is causal) s(s+10)(2+4) lim f(t) = 0 40 lim f(t) = 1. t-0 10 x 4 lim f(t) = 0 t-0 lim f(t)...
1 a the system stable. For example, in Chapter 2 we derived the transfer function for the inverte...
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...
1. Answer the multiple-choice with the correct response. Select the correct answer. 2. In the space...
1. Answer the multiple-choice with the correct response. Select
the correct answer.
2. In the space given for an explanation, you may: (a) choose a
second-best answer and explain why it is second best. (b) choose
one of the incorrect answers and rewrite the question so that it is
correct.
on part 2 of each question is based on the quality of your answer.
You do not need to write a lot but it must be clear that you
understand...
5 pts D Question 1 A system has the following impulse response: .2 Sample number, n From the choices below, select the frequency response of this system. H (eju)-e(1.5 ) (2 sin( 1.5ώ) +...
5 pts D Question 1 A system has the following impulse response: .2 Sample number, n From the choices below, select the frequency response of this system. H (eju)-e(1.5 ) (2 sin( 1.5ώ) + 4 sin(0.δώ)) H (ee) = e-j(1.5e-5) (cos( 1.5 ) +2 cos(0.54)) @ H (ee)-e-n1.si) (sin( 1.54) t. 2 sin(0.δώ)) (sin(l.50) +4sin(0.0) H (ee)-e-j(1.5i) (2 cos( 1.5ώ) + 4 cos(0.5a)) H (efo)-e-n1.5u) (cos( 1.50) + 2 cos(0.50)) https://rmitinstructure.comcoursesy 5 pts DQuestion 2 A system has the following...
Problem 5. (20pts) The open-loop transfer function of a unity feedback system G(8) -- +2) a)...
Problem 5. (20pts) The open-loop transfer function of a unity feedback system G(8) -- +2) a) Locate open-loop zeros and open-loop poles. b) Construct the root-locus diagram as 0 <K <oo. Mark the portions of the real axis that belong to the root locus - Mark with K =0 the point where the root locus bra O the point where the root locus branches start and with K = oo the point where the branches end. - Find break-away and/or...
Some system has the transfer function shown. Choose the correct answer regarding the stability of the system. 1 H(s) = (s + 1 - j) (s + 1 + i) The system is stable. The system is unstable. The system is marginally stable.
Question 2. The transfer Function of a feedback control loop is given by: C(s)- R(s) (3s + where Ke is the controller gain. Derive the relationships between the gain, time constant, and damping ratio of the second-order transfer function to the controller gain. Find the ranges of the controller gain for which the response is (i) overdamped, (ii) underdamped, and (iii) undamped. Can the response be unstable for any positive values of the controller gain? x (s) y(s) = {1...
Frequency Response of Unknown Dynamic System Determine the system transfer function from the 2 -5 following Bode plot: 10 o -15 -20 -25 -30 0 10%2 10 10 10 Frequency (rad/s)
Problem 2 (3 points) Given the unilateral Laplace transform of the impulse response for a causal system H(s) Determine h(t) the impulse response? Hint synthetic division! (s+10) 40 t-10 Problem 3 a) (2 points) What is the initial value of time function f(t) corresponding to the one sided Laplace Transform F(s) = (i.e. f(t) is causal) s(s+10)(2+4) lim f(t) = 0 40 lim f(t) = 1. t-0 10 x 4 lim f(t) = 0 t-0 lim f(t) cannot be computed...
Signal and Systems
Problem 2 (3 points) Given the unilateral Laplace transform of the impulse response for a causal system H(s) Determine h(t) the impulse response? Hint synthetic division! (s+10) 40 t-10 Problem 3 a) (2 points) What is the initial value of time function f(t) corresponding to the one sided Laplace Transform F(s) = (i.e. f(t) is causal) s(s+10)(2+4) lim f(t) = 0 40 lim f(t) = 1. t-0 10 x 4 lim f(t) = 0 t-0 lim f(t)...
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...
1. Answer the multiple-choice with the correct response. Select
the correct answer.
2. In the space given for an explanation, you may: (a) choose a
second-best answer and explain why it is second best. (b) choose
one of the incorrect answers and rewrite the question so that it is
correct.
on part 2 of each question is based on the quality of your answer.
You do not need to write a lot but it must be clear that you
understand...
5 pts D Question 1 A system has the following impulse response: .2 Sample number, n From the choices below, select the frequency response of this system. H (eju)-e(1.5 ) (2 sin( 1.5ώ) + 4 sin(0.δώ)) H (ee) = e-j(1.5e-5) (cos( 1.5 ) +2 cos(0.54)) @ H (ee)-e-n1.si) (sin( 1.54) t. 2 sin(0.δώ)) (sin(l.50) +4sin(0.0) H (ee)-e-j(1.5i) (2 cos( 1.5ώ) + 4 cos(0.5a)) H (efo)-e-n1.5u) (cos( 1.50) + 2 cos(0.50)) https://rmitinstructure.comcoursesy 5 pts DQuestion 2 A system has the following...
Problem 5. (20pts) The open-loop transfer function of a unity feedback system G(8) -- +2) a) Locate open-loop zeros and open-loop poles. b) Construct the root-locus diagram as 0 <K <oo. Mark the portions of the real axis that belong to the root locus - Mark with K =0 the point where the root locus bra O the point where the root locus branches start and with K = oo the point where the branches end. - Find break-away and/or...
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