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C) Given the following graph of the poles in a complex plane obtain: a. b. 1. The characteristic polynomial İfapplicable compute ,a,,r,t" (Time to reach steady state) and a Ifthe system has a unit step input. what will be the final value xss? Draw the equivalent electrical system. Draw the equivalent mechanical system. d. e.
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10T 2 E-2 12 -10 -10 -8 4--2 0 2 Real Part C) Given the following graph of the poles in a compl...
Need explain to detail. the graph is on the second picture is on the second picture
need explain to detail. the graph is on the second
picture
is on the second picture
C) Given the following graph of the poles in a complex plane obtain: a. b. 1. The characteristic polynomial İfapplicable compute ,a,,r,t" (Time to reach steady state) and a Ifthe system has a unit step input. what will be the final value xss? Draw the equivalent electrical system. Draw the equivalent mechanical system. d. e. 10T 2 E-2 12 -10 -10 -8 4--2 0...
1. Consider a transfer function of a system 25 s? + 4s + 25 a) Simulation...
1. Consider a transfer function of a system 25 s? + 4s + 25 a) Simulation i. Using any simulation software package, plot the poles on the s-plane. ii. Using unit step input, plot the transient response when there is no additional third pole to the system. iii. Using unit step input, plot the transient response when there is an additional third pole occur at -200, -20, -10, and -2. Plot them in a single graph. Normalize all the plots...
(10 points each) Given the following unity feedback system 3. E(s) R(s) C(s) 080-00 Figure 3 Where Go) DXG+3%6+5) 2(s +2) Find stability, and how many poles are in the right half-plane, in the le...
(10 points each) Given the following unity feedback system 3. E(s) R(s) C(s) 080-00 Figure 3 Where Go) DXG+3%6+5) 2(s +2) Find stability, and how many poles are in the right half-plane, in the left half-plane, on the jw axis. a. b. Draw the root locus for the system indicating the breakaway points, the ju crossings Draw the corresponding asymptotes on the diagram, calculate number of asymptotes, center and angle of asymptotes. c.
(10 points each) Given the following unity...
need parts 1, 2, 11, 13 For each of the following systems and inputs: Exercise 3.1...
need parts 1, 2, 11, 13
For each of the following systems and inputs: Exercise 3.1 1. Check whether the system is stable. 2. If the system is stable, use frequency response to determine the steady state response? 3. For a stable system, the time to reach steady state can be estimated as four times the time constant of the slowest pole. When a system is stable, all poles are in the left half plane (LHP). The slowest pole is...
Given: 1. Exact arithmetic will yield a pair of purely imaginary poles plus a real pole....
Given: 1. Exact arithmetic will yield a pair of purely imaginary poles plus a real pole. 2. i,(t) Iu(t) Amps Do: a) Find and draw a Laplace Transformed Network (LTN) b) Find the Laplace transform of the output quantity, I(s). Express your answer in the following form: bs2bis+bo H(s) 3as2 + a18+ a Amp seconds i. Find the coefficients of the partial fraction expansion (PFE) using the Heaviside covering method. c) ii. Find the time-domain i(t) (in units of Amps)...
Hw 10 Problem 2 2. Draw the magnitude characteristic of the Bode plot of the following...
Hw 10 Problem 2 2. Draw the magnitude characteristic of the Bode plot of the following transfer function: HG) = (s +5)(s +10) 5 + 5 + 10) a) Identify the poles and zeros. Enter values beginning with the poles and zeros whose real parts are closest to the origin in the complex plane. b) Identify the breakpoint frequencies. Enter the breakpoints in increasing order. c) Express the transfer function in the standard form: H(S) = (Tpis + 1)(Tp25 +...
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sket...
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sketch the it step response (a) G (s) = (c) G(s)-t 2+68+ (d) G (s) = 36 6. The equation of motion of a rotational mechanical system is given by where θ° and θί are respectively, output and input angular displace- ments. Assuming that all initial conditions are zero, determine (a) the transfer function model. (b) the natural frequency, w natural frequency,...
20 points] Q1. The Stately State Transition Matrix, Ф 16 2 3 13 Consider a state transition matrix, Ф, for a SISO LTI system A1. A- 5 11 10 8 9 76 12 Please determine and justify: (a) Ф(t) for this s...
20 points] Q1. The Stately State Transition Matrix, Ф 16 2 3 13 Consider a state transition matrix, Ф, for a SISO LTI system A1. A- 5 11 10 8 9 76 12 Please determine and justify: (a) Ф(t) for this system A 4 14 15 1 ] (b) Ф(s) for this system A (c) System A's characteristic polynomial (d) Ф(z) for this system A via Tustin's method (ie, trapazoid-rule) (e) A difference equation assuming: (1) a step input at...
5. For each of the following, determine if the system is underdamped, undamped, critically damped or...
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sketch the it step response (a) G (s) = (c) G(s)-t 2+68+ (d) G (s) = 36 6. The equation of motion of a rotational mechanical system is given by where θ° and θί are respectively, output and input angular displace- ments. Assuming that all initial conditions are zero, determine (a) the transfer function model. (b) the natural frequency, w natural frequency,...
A plant with the transfer function Gp(s)-- with unity feedback has the root locus shown in the figure below: (s+2)(s+4) Root Locus 1.5 C(s) 0.5 0.5 1.5 .3 Real Axis (seconds) (a) Determine K of G...
A plant with the transfer function Gp(s)-- with unity feedback has the root locus shown in the figure below: (s+2)(s+4) Root Locus 1.5 C(s) 0.5 0.5 1.5 .3 Real Axis (seconds) (a) Determine K of Gp(s) if it is desired that the uncompensated system has a 10% OS (overshoot) to a step input. (4 points) a 5% overshoot and a peak time Tp 3.1 meets the requirements described in part (b) and achieves zero steady state (b) Compute the desired...
need explain to detail. the graph is on the second
picture
is on the second picture
C) Given the following graph of the poles in a complex plane obtain: a. b. 1. The characteristic polynomial İfapplicable compute ,a,,r,t" (Time to reach steady state) and a Ifthe system has a unit step input. what will be the final value xss? Draw the equivalent electrical system. Draw the equivalent mechanical system. d. e. 10T 2 E-2 12 -10 -10 -8 4--2 0...
1. Consider a transfer function of a system 25 s? + 4s + 25 a) Simulation i. Using any simulation software package, plot the poles on the s-plane. ii. Using unit step input, plot the transient response when there is no additional third pole to the system. iii. Using unit step input, plot the transient response when there is an additional third pole occur at -200, -20, -10, and -2. Plot them in a single graph. Normalize all the plots...
(10 points each) Given the following unity feedback system 3. E(s) R(s) C(s) 080-00 Figure 3 Where Go) DXG+3%6+5) 2(s +2) Find stability, and how many poles are in the right half-plane, in the left half-plane, on the jw axis. a. b. Draw the root locus for the system indicating the breakaway points, the ju crossings Draw the corresponding asymptotes on the diagram, calculate number of asymptotes, center and angle of asymptotes. c.
(10 points each) Given the following unity...
need parts 1, 2, 11, 13
For each of the following systems and inputs: Exercise 3.1 1. Check whether the system is stable. 2. If the system is stable, use frequency response to determine the steady state response? 3. For a stable system, the time to reach steady state can be estimated as four times the time constant of the slowest pole. When a system is stable, all poles are in the left half plane (LHP). The slowest pole is...
Given: 1. Exact arithmetic will yield a pair of purely imaginary poles plus a real pole. 2. i,(t) Iu(t) Amps Do: a) Find and draw a Laplace Transformed Network (LTN) b) Find the Laplace transform of the output quantity, I(s). Express your answer in the following form: bs2bis+bo H(s) 3as2 + a18+ a Amp seconds i. Find the coefficients of the partial fraction expansion (PFE) using the Heaviside covering method. c) ii. Find the time-domain i(t) (in units of Amps)...
Hw 10 Problem 2 2. Draw the magnitude characteristic of the Bode plot of the following transfer function: HG) = (s +5)(s +10) 5 + 5 + 10) a) Identify the poles and zeros. Enter values beginning with the poles and zeros whose real parts are closest to the origin in the complex plane. b) Identify the breakpoint frequencies. Enter the breakpoints in increasing order. c) Express the transfer function in the standard form: H(S) = (Tpis + 1)(Tp25 +...
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sketch the it step response (a) G (s) = (c) G(s)-t 2+68+ (d) G (s) = 36 6. The equation of motion of a rotational mechanical system is given by where θ° and θί are respectively, output and input angular displace- ments. Assuming that all initial conditions are zero, determine (a) the transfer function model. (b) the natural frequency, w natural frequency,...
20 points] Q1. The Stately State Transition Matrix, Ф 16 2 3 13 Consider a state transition matrix, Ф, for a SISO LTI system A1. A- 5 11 10 8 9 76 12 Please determine and justify: (a) Ф(t) for this system A 4 14 15 1 ] (b) Ф(s) for this system A (c) System A's characteristic polynomial (d) Ф(z) for this system A via Tustin's method (ie, trapazoid-rule) (e) A difference equation assuming: (1) a step input at...
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sketch the it step response (a) G (s) = (c) G(s)-t 2+68+ (d) G (s) = 36 6. The equation of motion of a rotational mechanical system is given by where θ° and θί are respectively, output and input angular displace- ments. Assuming that all initial conditions are zero, determine (a) the transfer function model. (b) the natural frequency, w natural frequency,...
A plant with the transfer function Gp(s)-- with unity feedback has the root locus shown in the figure below: (s+2)(s+4) Root Locus 1.5 C(s) 0.5 0.5 1.5 .3 Real Axis (seconds) (a) Determine K of Gp(s) if it is desired that the uncompensated system has a 10% OS (overshoot) to a step input. (4 points) a 5% overshoot and a peak time Tp 3.1 meets the requirements described in part (b) and achieves zero steady state (b) Compute the desired...
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Amplitude=3;
fs=8000;
n=0:399;
t=0:1/fs: n*1/fs-1/fs;
signal=3+3*cos(2*pi*1100*t)+3*cos(2*pi*2200*t)+3*cos(2*pi*3300*t);
fftSignal= fft(signal);
fftSignal=f ftshift (fftSignal);
f=fs/2*linspace(-1,1,fs);
plot(f,abs(fftsignal);
xlabel('Frequency(Hz)’)
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