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Consider the system with transfer function His) (160 + 1)(5 + 1) Which of the following...
Problem Three: Estimating a Transfer Function from a Bode Plot Based on the Bode Plot below,...
Problem Three: Estimating a Transfer Function from a Bode Plot Based on the Bode Plot below, estimate the transfer function for this system. magnitude plot 20 0 2010g, ((w)) 40 -60 -80 10-2 10-1 10° 101 102 w (rad/s) phase plot 100 50 © -50 -100 102 10" 10° 102 10 101 (rad/s]
Consider an electrical system shown in the following circuit diagram RI R2 Show that the transfer...
Consider an electrical system shown in the following circuit diagram RI R2 Show that the transfer function from vi to vo can be expressed as H(s) s a R2 R1R2 and b where a RI R2C RI R2C = 5 x 104 , R2 Compute a and b of the electrical system for R1 C 10-6 F 1020 , and Compute the maximum phase (in degrees) of the electrical system and the correspond ing frequency (in rad/sec) Sketch the frequency...
Problem 2 An RC circuit ( with an active component) has the following transfer function (where...
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...
Consider a causal LTI system implemented as the RL circuit shown below. In this circuit, v(t)...
Consider a causal LTI system implemented as the RL circuit shown below. In this circuit, v(t) is the input voltage. The current i(t) is considered the system output. i(t) R L wwwm v(t) (a) Find the differential equation relating v(t) and i(t). (b) Determine the frequency response of this system (H(jw)). (c) Determine the output it) if v(t) = sin(t), R=10 and L=1. (d) Sketch Bode plot of H (jw) for R=10 and L=1. (e) Determine if the system is...
6) The open loop transfer function of a control system is 10-011. Ata frequency of 1...
6) The open loop transfer function of a control system is 10-011. Ata frequency of 1 Hz, the system phase shift is: (1) 0.9 kg (2) 5.7" tag (3) 18 (6) 36"lag (5) none of the above h) The open-loop transfer function of control system is 10 At high frequencies, the gain will: (1) be constant (2) roll off at -20 d/decade (3) roll off at -40 dB/decade (6) roll off at 60 dB/decade The open-loop transfer function of a...
Let a transfer function H be 1000s + 10) 100+1000 Use H to respond to the following questions and...
System dynamics course.
Let a transfer function H be 1000s + 10) 100+1000 Use H to respond to the following questions and imperatives a. Write H as a product of standard-form transfer functions Find the frequency response function H(jaw) without simplifying c. Use the axes below to sketch the Bode plot of H. 20 -20 10-1 10° 101 102 103 10 w (rad/s) 90 45 45 -90 -135 -180 10-T 100 101 102 103 101 w (rad/s)
Let a transfer...
3. Design a stable Continuous-time Linear time-invariant system H with all of the following three properties:...
3. Design a stable Continuous-time Linear time-invariant system H with all of the following three properties: . The impulse response h(t) has the form h(t) = A8(t) + Be-2 u(t) where A and B are real-valued constants, The angle of H(jw) has the following straight-line approximation ZH(jw) (rad) -7/2 -71 mtmw log scale] 10 100 1000 If the input o(t) is 1 for all time, then the output y(t) is 1 for all time. Determine the system function H(s) that...
Determine the shape in the frequency plane and the Bode diagram for the transfer function K(s...
Determine the shape in the frequency plane and the Bode diagram for the transfer function K(s + 2) GH- s?(s + 4)(s + 6) For a plant that has a diagram like the one shown in the figure, design a lead compensator so that the system has a maximum elongation of 15%. 5+2 K 5 + P CONTROL 6 s(s+2) PLANTA Construct the Bode diagram for the frequency response function: 2 GH(jw) - jw (1 + jw/2)(1 + jw/5) Design...
singal and system QUESTION 5 [20 marks] Given transfer function of a networks H(s) transfer function...
singal and
system
QUESTION 5 [20 marks] Given transfer function of a networks H(s) transfer function at w = 1000 rad/s. $10+ 52 +10005+7x106 - Evaluate the [10 marks) b) Simplify and obtain the frequency response (magnitude and phase plots) of the 100(5+10) following transfer function H(s) s+10000 [6 marks] Sketch the magnitude and phase plots from (b) using Bode Plot Technique. [4 marks]
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...
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...
Problem Three: Estimating a Transfer Function from a Bode Plot Based on the Bode Plot below, estimate the transfer function for this system. magnitude plot 20 0 2010g, ((w)) 40 -60 -80 10-2 10-1 10° 101 102 w (rad/s) phase plot 100 50 © -50 -100 102 10" 10° 102 10 101 (rad/s]
Consider an electrical system shown in the following circuit diagram RI R2 Show that the transfer function from vi to vo can be expressed as H(s) s a R2 R1R2 and b where a RI R2C RI R2C = 5 x 104 , R2 Compute a and b of the electrical system for R1 C 10-6 F 1020 , and Compute the maximum phase (in degrees) of the electrical system and the correspond ing frequency (in rad/sec) Sketch the frequency...
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...
Consider a causal LTI system implemented as the RL circuit shown below. In this circuit, v(t) is the input voltage. The current i(t) is considered the system output. i(t) R L wwwm v(t) (a) Find the differential equation relating v(t) and i(t). (b) Determine the frequency response of this system (H(jw)). (c) Determine the output it) if v(t) = sin(t), R=10 and L=1. (d) Sketch Bode plot of H (jw) for R=10 and L=1. (e) Determine if the system is...
6) The open loop transfer function of a control system is 10-011. Ata frequency of 1 Hz, the system phase shift is: (1) 0.9 kg (2) 5.7" tag (3) 18 (6) 36"lag (5) none of the above h) The open-loop transfer function of control system is 10 At high frequencies, the gain will: (1) be constant (2) roll off at -20 d/decade (3) roll off at -40 dB/decade (6) roll off at 60 dB/decade The open-loop transfer function of a...
System dynamics course.
Let a transfer function H be 1000s + 10) 100+1000 Use H to respond to the following questions and imperatives a. Write H as a product of standard-form transfer functions Find the frequency response function H(jaw) without simplifying c. Use the axes below to sketch the Bode plot of H. 20 -20 10-1 10° 101 102 103 10 w (rad/s) 90 45 45 -90 -135 -180 10-T 100 101 102 103 101 w (rad/s)
Let a transfer...
3. Design a stable Continuous-time Linear time-invariant system H with all of the following three properties: . The impulse response h(t) has the form h(t) = A8(t) + Be-2 u(t) where A and B are real-valued constants, The angle of H(jw) has the following straight-line approximation ZH(jw) (rad) -7/2 -71 mtmw log scale] 10 100 1000 If the input o(t) is 1 for all time, then the output y(t) is 1 for all time. Determine the system function H(s) that...
Determine the shape in the frequency plane and the Bode diagram for the transfer function K(s + 2) GH- s?(s + 4)(s + 6) For a plant that has a diagram like the one shown in the figure, design a lead compensator so that the system has a maximum elongation of 15%. 5+2 K 5 + P CONTROL 6 s(s+2) PLANTA Construct the Bode diagram for the frequency response function: 2 GH(jw) - jw (1 + jw/2)(1 + jw/5) Design...
singal and
system
QUESTION 5 [20 marks] Given transfer function of a networks H(s) transfer function at w = 1000 rad/s. $10+ 52 +10005+7x106 - Evaluate the [10 marks) b) Simplify and obtain the frequency response (magnitude and phase plots) of the 100(5+10) following transfer function H(s) s+10000 [6 marks] Sketch the magnitude and phase plots from (b) using Bode Plot Technique. [4 marks]
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...
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