Homework Answers
In this solution some basic concepts of Transfer Theory are used. Please refer to any standard textbook for more information or drop a comment below. Don't forget to give a positive rating if solution is helpful.
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15% 4. A dynamic system has 2 and-3 as its zeroes; -5, -6 and -7 (order three of multiplicity) as...
15% 4. A dynamic system has 2 and -3 as its zeroes; -5,-6 and-7 (order three of multiplicity) as ...
15% 4. A dynamic system has 2 and -3 as its zeroes; -5,-6 and-7 (order three of multiplicity) as poles, and a gain of 9. Write its transfer function.
15% 4. A dynamic system has 2 and -3 as its zeroes; -5,-6 and-7 (order three of multiplicity) as poles, and a gain of 9. Write its transfer function.
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...
Problem 2: (40 pts) Part A: (20pts) A third-order system has an of Y(s)-L[y(t) corresponding to...
Problem 2: (40 pts) Part A: (20pts) A third-order system has an of Y(s)-L[y(t) corresponding to a unit step input u(t) is known to be input of u(t) and an output of y(t). The forced response portion 1 Ys) (3 +3s2+ 4s +5) = a) Determine the input-output differential equation for the system b) From your result in a), determine the transformed free response Yee (s) corresponding to initial conditions of: y(0)= y(0) = 0 and ý(0)-6 Part B (20pts)...
7. For a negative feedback control system with unit feedback gain, its open-loop 100 transfer function...
7. For a negative feedback control system with unit feedback gain, its open-loop 100 transfer function is G (s) Design a PID controller, so that the open s(10s) corresponding closed-loop poles are -2+jl and -5. (10 scores)
7. For a negative feedback control system with unit feedback gain, its open-loop 100 transfer function is G (s) Design a PID controller, so that the open s(10s) corresponding closed-loop poles are -2+jl and -5. (10 scores)
Problem 2 and 3 A simplified model of a magnetic levitation system has the dynamic model...
Problem 2 and 3
A simplified model of a magnetic levitation system has the dynamic model 1 2 (a) Find the transfer function G(s) of the system. (b) Find the poles and zeros of the system. (c) The plant is unstable. Explain why Problem 2 The plant in Problem 1 is to be stabilized by use of "proportional plus derivative" control: U(s)-(Kis + K2)Y(s) Find and sketch the region in the Ki, K2 plane for which the closed loop system,...
of 15 2 3 5 6 9 10 12 Suppose that the polynomial function f is...
of 15 2 3 5 6 9 10 12 Suppose that the polynomial function f is defined as follows. s(x)-Sx (x+3)(x-6-8) List each zero of f according to its multiplicity in the categories below. If there is more than one answer for a mutiplicity, separate them with commas. If there is no answer click on Zero(s) of multiplicity one: Zero(s) of multiplicity two: Zero(s) of multiplicity three:
A 2nd order dynamic system has a damping ratio, ζ = 0.5 andnatural frequency, ωn...
A 2nd order dynamic system has a damping ratio, ζ = 0.5 and
natural frequency, ωn = 8 rad/s. The transfer
gain is K = 2. There are no zeros of the system. If the
general response to an impulse input has the form:h(t) =e(–ωnζt)[Asin(ωdt)
+ Bcos(ωdt)]; whereωd is the damped frequency. Find damped natural
frequency (ωd), value of constants A and B. Hint: To find A and B, find h(t) using “Transfer Function Property” and
compare it with the given expression...
Problem 4. The forward path of a dynamic system has transfer function G(s) and the feedback...
Problem 4. The forward path of a dynamic system has transfer function G(s) and the feedback S + 7 has transfer function)he input signal is: )Se)+3Sin(2-25). Define the steady-state output of this system Detine
Problem 1 A system is represented in state space as 8 -4 1 -4 5 7...
Problem 1 A system is represented in state space as 8 -4 1 -4 5 7 -9 0 0 a) Find the transfer function b) Find the poles
Below is the frequency response of a dynamic system +)20 20 → 1st order 40">2"d Order a. What are...
Below is the frequency response of a dynamic system +)20 20 → 1st order 40">2"d Order a. What are the corner frequencies? 、.a.,.1D.歩100 b. How many poles in the system? e. How many zeros in the system'? d. For the input signal shown in the Figure below find (at steady-state situation): i. The output signal amplitude ii. The output signal phase (in degrees and show the sign)... Plot the output signal on the Figure below e. 57 58 9 61...
15% 4. A dynamic system has 2 and -3 as its zeroes; -5,-6 and-7 (order three of multiplicity) as poles, and a gain of 9. Write its transfer function.
15% 4. A dynamic system has 2 and -3 as its zeroes; -5,-6 and-7 (order three of multiplicity) as poles, and a gain of 9. Write its transfer function.
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...
Problem 2: (40 pts) Part A: (20pts) A third-order system has an of Y(s)-L[y(t) corresponding to a unit step input u(t) is known to be input of u(t) and an output of y(t). The forced response portion 1 Ys) (3 +3s2+ 4s +5) = a) Determine the input-output differential equation for the system b) From your result in a), determine the transformed free response Yee (s) corresponding to initial conditions of: y(0)= y(0) = 0 and ý(0)-6 Part B (20pts)...
7. For a negative feedback control system with unit feedback gain, its open-loop 100 transfer function is G (s) Design a PID controller, so that the open s(10s) corresponding closed-loop poles are -2+jl and -5. (10 scores)
7. For a negative feedback control system with unit feedback gain, its open-loop 100 transfer function is G (s) Design a PID controller, so that the open s(10s) corresponding closed-loop poles are -2+jl and -5. (10 scores)
Problem 2 and 3
A simplified model of a magnetic levitation system has the dynamic model 1 2 (a) Find the transfer function G(s) of the system. (b) Find the poles and zeros of the system. (c) The plant is unstable. Explain why Problem 2 The plant in Problem 1 is to be stabilized by use of "proportional plus derivative" control: U(s)-(Kis + K2)Y(s) Find and sketch the region in the Ki, K2 plane for which the closed loop system,...
of 15 2 3 5 6 9 10 12 Suppose that the polynomial function f is defined as follows. s(x)-Sx (x+3)(x-6-8) List each zero of f according to its multiplicity in the categories below. If there is more than one answer for a mutiplicity, separate them with commas. If there is no answer click on Zero(s) of multiplicity one: Zero(s) of multiplicity two: Zero(s) of multiplicity three:
A 2nd order dynamic system has a damping ratio, ζ = 0.5 and
natural frequency, ωn = 8 rad/s. The transfer
gain is K = 2. There are no zeros of the system. If the
general response to an impulse input has the form:h(t) =e(–ωnζt)[Asin(ωdt)
+ Bcos(ωdt)]; whereωd is the damped frequency. Find damped natural
frequency (ωd), value of constants A and B. Hint: To find A and B, find h(t) using “Transfer Function Property” and
compare it with the given expression...
Problem 4. The forward path of a dynamic system has transfer function G(s) and the feedback S + 7 has transfer function)he input signal is: )Se)+3Sin(2-25). Define the steady-state output of this system Detine
Problem 1 A system is represented in state space as 8 -4 1 -4 5 7 -9 0 0 a) Find the transfer function b) Find the poles
Below is the frequency response of a dynamic system +)20 20 → 1st order 40">2"d Order a. What are the corner frequencies? 、.a.,.1D.歩100 b. How many poles in the system? e. How many zeros in the system'? d. For the input signal shown in the Figure below find (at steady-state situation): i. The output signal amplitude ii. The output signal phase (in degrees and show the sign)... Plot the output signal on the Figure below e. 57 58 9 61...
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