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om 1. Given G(s) $2+260,8 +02 where 0 < 5 < 1, find expressions for the...
Problem #1. Topics: Z Transform Find the Z transform of: x[n]=-(0.9 )n-2u-n+5] X(Z) Problem #2. T...
Problem #1. Topics: Z Transform Find the Z transform of: x[n]=-(0.9 )n-2u-n+5] X(Z) Problem #2. Topics: Filter Design, Effective Time Constant Design a causal 2nd order, normalized, stable Peak Filter centered at fo 1000Hz. Use only two conjugate poles and two zeros at the origin. The system is to be sampled at Fs- 8000Hz. The duration of the transient should be as close as possible to teft 7.5 ms. The transient is assumed to end when the largest pole elevated...
16 The transfer function of a system given by, G(s) = 32 +33 +16' find the...
16 The transfer function of a system given by, G(s) = 32 +33 +16' find the damping ratio, 5, natural frequency, 0,, settling time, T., peak time, T, and percent overshoot, %OS. Report the kind of response expected. P
For each transfer function G(s) below, find the polar representation for G(jo), given by M (a)ejp...
For each transfer function G(s) below, find the polar representation for G(jo), given by M (a)ejp(a). Note that the magnitude M and phase φ are functions of the frequency a n he Frequency resPonse? ind lhe
For each transfer function G(s) below, find the polar representation for G(jo), given by M (a)ejp(a). Note that the magnitude M and phase φ are functions of the frequency a n he Frequency resPonse? ind lhe
b) Given a second order system with the following open loop transfer function where damping ratio,...
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...
1. Consider a feedback system given below: T(s) Disturbance Controller Dynamics R(S) + Gc(s) G.(s) U(s)...
1. Consider a feedback system given below: T(s) Disturbance Controller Dynamics R(S) + Gc(s) G.(s) U(s) Sensor H(s) IMs) Sensor noise where the input and transfer functions are given as follows: R(s) = –,7,(s) = 0, N(s) = 0, G, - 15,6, -_- , and H(s) = 1. s's + 3) a. Derive the system transfer function Y(s)/R(s) = G,, poles, $, On, and, from the response function y(t), the performance measures: rise time Tr, peak time Tp, percent overshoot...
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...
1. A unity feedback system has open-loop transfer function given by an 100 G(s)s2)(s +4) a....
1. A unity feedback system has open-loop transfer function given by an 100 G(s)s2)(s +4) a. Use analytical techniques (i.e. without using any plots) to estimate the closed-loop: i. Resonant frequency, w (8 marks) ii. Resonance peak, Mp (in decibels) (2 marks) i. Phase at w = 3rad/s (2 marks) b. Obtain a table for the response of the open-loop transfer function for a set S of frequency values, where S {1.5,3,5,7, 10, 15, 20} rad/s (8 marks) Hence draw...
1. A unity feedback system has open-loop transfer function given by an 100 G(s)s2)(s +4) a....
1. A unity feedback system has open-loop transfer function given by an 100 G(s)s2)(s +4) a. Use analytical techniques (i.e. without using any plots) to estimate the closed-loop: i. Resonant frequency, w (8 marks) ii. Resonance peak, Mp (in decibels) (2 marks) i. Phase at w = 3rad/s (2 marks) b. Obtain a table for the response of the open-loop transfer function for a set S of frequency values, where S {1.5,3,5,7, 10, 15, 20} rad/s (8 marks) Hence draw...
[Refer Given the following equilibrium constants at 425°C, 1 Na2O(s) – 2 Na(1) +02(9) K= 5...
[Refer Given the following equilibrium constants at 425°C, 1 Na2O(s) – 2 Na(1) +02(9) K= 5 x 10-25 NaO(9) = Na(1)+ - 02(9) K2 = 2 x 10-5 Na, O2(8) = 2 Na(l) + O2(9) K3 = 8 x 10-29 NaO2(s) = Na(l) + O2(9) K4 =1 10-14 determine the values for the equilibrium constants for the following reactions: a. Na2O(s) + + 02 (9) = Naz02 (8) Equilibrium constant = b. NaO(g) + Na2O(8) = Na2O2(8) + Na(1) Equilibrium...
Problem 1: An angle modulated waveform is given as s(t)=A_cos (1000 at +8071 +3204) where 0.=10001...
Problem 1: An angle modulated waveform is given as s(t)=A_cos (1000 at +8071 +3204) where 0.=10001 , max|m(t)=3 , and m(t)=0,+<0. In a previous ICE, we determined that if the signal is phase modulated (PM), the phase sensitivity is k= 4001 - 133.31 , the message signal is m(t)=1 12 and the frequency deviation is Am=-80 tn 5-55.51 . Similarly, if the signal is frequency modulated (FM), the frequency sensitivity is kr , the message signal is m(t)==3(3), and the...
Problem #1. Topics: Z Transform Find the Z transform of: x[n]=-(0.9 )n-2u-n+5] X(Z) Problem #2. Topics: Filter Design, Effective Time Constant Design a causal 2nd order, normalized, stable Peak Filter centered at fo 1000Hz. Use only two conjugate poles and two zeros at the origin. The system is to be sampled at Fs- 8000Hz. The duration of the transient should be as close as possible to teft 7.5 ms. The transient is assumed to end when the largest pole elevated...
16 The transfer function of a system given by, G(s) = 32 +33 +16' find the damping ratio, 5, natural frequency, 0,, settling time, T., peak time, T, and percent overshoot, %OS. Report the kind of response expected. P
For each transfer function G(s) below, find the polar representation for G(jo), given by M (a)ejp(a). Note that the magnitude M and phase φ are functions of the frequency a n he Frequency resPonse? ind lhe
For each transfer function G(s) below, find the polar representation for G(jo), given by M (a)ejp(a). Note that the magnitude M and phase φ are functions of the frequency a n he Frequency resPonse? ind lhe
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...
1. Consider a feedback system given below: T(s) Disturbance Controller Dynamics R(S) + Gc(s) G.(s) U(s) Sensor H(s) IMs) Sensor noise where the input and transfer functions are given as follows: R(s) = –,7,(s) = 0, N(s) = 0, G, - 15,6, -_- , and H(s) = 1. s's + 3) a. Derive the system transfer function Y(s)/R(s) = G,, poles, $, On, and, from the response function y(t), the performance measures: rise time Tr, peak time Tp, percent overshoot...
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. A unity feedback system has open-loop transfer function given by an 100 G(s)s2)(s +4) a. Use analytical techniques (i.e. without using any plots) to estimate the closed-loop: i. Resonant frequency, w (8 marks) ii. Resonance peak, Mp (in decibels) (2 marks) i. Phase at w = 3rad/s (2 marks) b. Obtain a table for the response of the open-loop transfer function for a set S of frequency values, where S {1.5,3,5,7, 10, 15, 20} rad/s (8 marks) Hence draw...
1. A unity feedback system has open-loop transfer function given by an 100 G(s)s2)(s +4) a. Use analytical techniques (i.e. without using any plots) to estimate the closed-loop: i. Resonant frequency, w (8 marks) ii. Resonance peak, Mp (in decibels) (2 marks) i. Phase at w = 3rad/s (2 marks) b. Obtain a table for the response of the open-loop transfer function for a set S of frequency values, where S {1.5,3,5,7, 10, 15, 20} rad/s (8 marks) Hence draw...
[Refer Given the following equilibrium constants at 425°C, 1 Na2O(s) – 2 Na(1) +02(9) K= 5 x 10-25 NaO(9) = Na(1)+ - 02(9) K2 = 2 x 10-5 Na, O2(8) = 2 Na(l) + O2(9) K3 = 8 x 10-29 NaO2(s) = Na(l) + O2(9) K4 =1 10-14 determine the values for the equilibrium constants for the following reactions: a. Na2O(s) + + 02 (9) = Naz02 (8) Equilibrium constant = b. NaO(g) + Na2O(8) = Na2O2(8) + Na(1) Equilibrium...
Problem 1: An angle modulated waveform is given as s(t)=A_cos (1000 at +8071 +3204) where 0.=10001 , max|m(t)=3 , and m(t)=0,+<0. In a previous ICE, we determined that if the signal is phase modulated (PM), the phase sensitivity is k= 4001 - 133.31 , the message signal is m(t)=1 12 and the frequency deviation is Am=-80 tn 5-55.51 . Similarly, if the signal is frequency modulated (FM), the frequency sensitivity is kr , the message signal is m(t)==3(3), and the...
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