Consider a second-order system that has a DC gain of 0 Decibel, attained resonance at 780Hz...
Consider a second-order system that has a DC gain of 0 Decibel, attained resonance at 780Hz and its input is magnified 10 times at resonance. What is the transfer-function of the second order system?
Homework Answers
By Using Resonant Peak and Resonant frequency formuales in Frequency domain analysis, we can obtain the Transfer Function.
Add Answer to:
Consider a second-order system that has a DC gain of 0 Decibel,
attained resonance at 780Hz...
7.7 A dynamic system has 0 as its zero; -1 (order three of multiplicity), -2 (order two of multip...
7.7 A dynamic system has 0 as its zero; -1 (order three of multiplicity), -2 (order two of multiplicity) as poles, and a gain of 14. Use MATLAB to calculate the corresponding transfer function of this system then reconvert the obtained transfer function model into a zero-pole-gain model.
7.7 A dynamic system has 0 as its zero; -1 (order three of multiplicity), -2 (order two of multiplicity) as poles, and a gain of 14. Use MATLAB to calculate the corresponding...
Design a second-order Butterworth low-pass filter with a DC gain of 0 dB and a -3...
Design a second-order Butterworth low-pass filter with a DC gain of 0 dB and a -3 dB frequency of 5.24 kHz. (include circuit design w/ component values)
Question 2 A linear time-invariant (LTI) system has its response described by the following second-order differential...
Question 2 A linear time-invariant (LTI) system has its response described by the following second-order differential equation: d'y) 3-10))-3*0)-6x0) dy_hi dx(t) where x() is the input function and y(t) is the output function. (a) Determine the transfer function H(a) of the system. (b) Determine the impulse response h(t) of the system.
Not all second-order systems are designed to give a standard 2"d order response. Consider the pow...
Not all second-order systems are designed to give a standard 2"d order response. Consider the power steering for an automobile. The feedback system can be modeled as the block diagram shown in the figure below. For a unit step input A(s), find values of K1 and K2 for which the response w(t) is critically damped and has a steady-state gain of 0.4 unit. Repeat for a damping ratio of 0.7 and a steady-state gain of 0.2 unit. 7) Control Steering...
A system of two first order differential equations can be written as 0 dc A second order explicit...
A system of two first order differential equations can be written as 0 dc A second order explicit Runge-Kutta scheme for the system of two first order equations is Consider the following second order differential equation 7+4zy 4, with y(1)-1 and y'(1)--1. Use the Runge-kutta scheme to find an approximate solution of the second order differential equation, at x = 1.2, if the step size h Maintain at least eight decimal digit accuracy throughout all your calculations You may express...
The pole-zero diagram of a system is given below. The DC gain of the system is 15(1- Im(zI 1기 -0 0. (i) Sketch the approximate magnitude response of the system i) Determine the transfer function Ha)...
The pole-zero diagram of a system is given below. The DC gain of the system is 15(1- Im(zI 1기 -0 0. (i) Sketch the approximate magnitude response of the system i) Determine the transfer function Ha), of the systenm (ii) Sketch the Direct Form I and Direct Form II implementations of this system
The pole-zero diagram of a system is given below. The DC gain of the system is 15(1- Im(zI 1기 -0 0. (i) Sketch the approximate magnitude response...
8. A second order lag process has a resonant frequency, (o, of 10 rad/sec, a damping ratio of 0.1, and a steady state gain, G, of 1. Use the Bode diagram in figure given to determine the gain, m,...
8. A second order lag process has a resonant frequency, (o, of 10 rad/sec, a damping ratio of 0.1, and a steady state gain, G, of 1. Use the Bode diagram in figure given to determine the gain, m, in decibel, and the phase angle B, in degrees for the following values of the radiant frequency. Convert your decibel gain values, m, to ordinary gain values, g. (a) 0.1 rad/s, (b) 10 rad/s. 20 10 ζ-0.5 2.0 10 () ζ-20.0...
Design a second-order Butterworth low-pass filter to satisfy the specifications a. The dc gain is...
Design a second-order Butterworth low-pass filter to satisfy the specifications a. The dc gain is unity (zero dB); b. The gain is no smaller than -1 dB for frequencies between 0 and 2,000 Hz; and c. The gain is no larger than -40 dB for frequencies larger than 40 kHz. Determine a circuit realization as a series RLC low-pass filter. Pick reasonable values of R, L, and C.
Design a second-order Butterworth low-pass filter to satisfy the specifications a. The...
Uestion Two ) Consider a second order system whose transfer function, H(s), is given by: s+5 A(s)...
uestion Two ) Consider a second order system whose transfer function, H(s), is given by: s+5 A(s) = (s+5):42 (0) Find the poles of H(s) and comment on whether you think the system is stable. (i) Using Laplace tables write out the system's response, h (t) and draw a rough (iii) An input voltage, Vin(t) = 29 (t2 0), was passed through the second order system. Taking V (s)- 2 and noting that Voufs) - Vn(s)H(s), it was found the...
Tutorial -On PID control (Control System: Instructor slides and lab) Consider a second order mass...
part 2 & part 3 please...
Tutorial -On PID control (Control System: Instructor slides and lab) Consider a second order mass-force system to study its behavior under various forms of PID control xtn fon force In Disturbance force: 50) (i.e. wind force) Part I (dealing with the plant/process) 1. What is the model of this system, in other words, write the ODE of the system 2. Derive the transfer function of the above system from Fls) to X(s) 3. What...
7.7 A dynamic system has 0 as its zero; -1 (order three of multiplicity), -2 (order two of multiplicity) as poles, and a gain of 14. Use MATLAB to calculate the corresponding transfer function of this system then reconvert the obtained transfer function model into a zero-pole-gain model.
7.7 A dynamic system has 0 as its zero; -1 (order three of multiplicity), -2 (order two of multiplicity) as poles, and a gain of 14. Use MATLAB to calculate the corresponding...
Question 2 A linear time-invariant (LTI) system has its response described by the following second-order differential equation: d'y) 3-10))-3*0)-6x0) dy_hi dx(t) where x() is the input function and y(t) is the output function. (a) Determine the transfer function H(a) of the system. (b) Determine the impulse response h(t) of the system.
Not all second-order systems are designed to give a standard 2"d order response. Consider the power steering for an automobile. The feedback system can be modeled as the block diagram shown in the figure below. For a unit step input A(s), find values of K1 and K2 for which the response w(t) is critically damped and has a steady-state gain of 0.4 unit. Repeat for a damping ratio of 0.7 and a steady-state gain of 0.2 unit. 7) Control Steering...
A system of two first order differential equations can be written as 0 dc A second order explicit Runge-Kutta scheme for the system of two first order equations is Consider the following second order differential equation 7+4zy 4, with y(1)-1 and y'(1)--1. Use the Runge-kutta scheme to find an approximate solution of the second order differential equation, at x = 1.2, if the step size h Maintain at least eight decimal digit accuracy throughout all your calculations You may express...
The pole-zero diagram of a system is given below. The DC gain of the system is 15(1- Im(zI 1기 -0 0. (i) Sketch the approximate magnitude response of the system i) Determine the transfer function Ha), of the systenm (ii) Sketch the Direct Form I and Direct Form II implementations of this system
The pole-zero diagram of a system is given below. The DC gain of the system is 15(1- Im(zI 1기 -0 0. (i) Sketch the approximate magnitude response...
8. A second order lag process has a resonant frequency, (o, of 10 rad/sec, a damping ratio of 0.1, and a steady state gain, G, of 1. Use the Bode diagram in figure given to determine the gain, m, in decibel, and the phase angle B, in degrees for the following values of the radiant frequency. Convert your decibel gain values, m, to ordinary gain values, g. (a) 0.1 rad/s, (b) 10 rad/s. 20 10 ζ-0.5 2.0 10 () ζ-20.0...
Design a second-order Butterworth low-pass filter to satisfy the specifications a. The dc gain is unity (zero dB); b. The gain is no smaller than -1 dB for frequencies between 0 and 2,000 Hz; and c. The gain is no larger than -40 dB for frequencies larger than 40 kHz. Determine a circuit realization as a series RLC low-pass filter. Pick reasonable values of R, L, and C.
Design a second-order Butterworth low-pass filter to satisfy the specifications a. The...
uestion Two ) Consider a second order system whose transfer function, H(s), is given by: s+5 A(s) = (s+5):42 (0) Find the poles of H(s) and comment on whether you think the system is stable. (i) Using Laplace tables write out the system's response, h (t) and draw a rough (iii) An input voltage, Vin(t) = 29 (t2 0), was passed through the second order system. Taking V (s)- 2 and noting that Voufs) - Vn(s)H(s), it was found the...
part 2 & part 3 please...
Tutorial -On PID control (Control System: Instructor slides and lab) Consider a second order mass-force system to study its behavior under various forms of PID control xtn fon force In Disturbance force: 50) (i.e. wind force) Part I (dealing with the plant/process) 1. What is the model of this system, in other words, write the ODE of the system 2. Derive the transfer function of the above system from Fls) to X(s) 3. What...
Most questions answered within 3 hours.
-
Why do organizations decline? What steps can top
management take to halt, decline, and restore organizational...
asked 8 minutes ago -
Under the influence of its drive force, a snowmobile is moving
at a constant velocity along...
asked 22 minutes ago -
What mechanisms Drive speciation??
(I.e. what was Dawins theory on the orgin of species, and how...
asked 1 hour ago -
The manager at a car assembly plant believes that the mean
assembly time for a car...
asked 2 hours ago -
Which of the following is true of electron capture?
A) It decreases the nuclide's mass number...
asked 4 hours ago -
Assuming an efficiency of 43.10%, calculate the actual yield of
magnesium nitrate formed from 114.9 g...
asked 4 hours ago -
The highly pathogenic bacterium Clostridium
perfringens causes gangrene, a disease that results in the
destruction of...
asked 6 hours ago -
In the context of situation analysis, which of the following is
a category for analysis in...
asked 6 hours ago -
In a study of the gas phase decomposition of sulfuryl chloride
at 600 K SO2Cl2(g)SO2(g) +...
asked 6 hours ago -
75 g of 2-propanol (C3H8O) and 25 g of pentane are mixed in a
200 mL...
asked 6 hours ago -
The 2800-turn coil in a dc motor has an area per turn of 1.1 ×
10-2...
asked 6 hours ago -
Draw a combinational logic circuit diagram with a symbol inside
the box for two I/P of...
asked 6 hours ago