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7.7 A dynamic system has 0 as its zero; -1 (order three of multiplicity), -2 (order two of multip...
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.
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.
The open-loop transfer function of a system has two poles at -1 +0.-1-jand a zero at...
The open-loop transfer function of a system has two poles at -1 +0.-1-jand a zero at -1.. Im Х j Re -1 X Find the angle of departure of the root-locus from the pole at -1+j. Select one: a. -45° b. 135° c.oo d. 180°
Consider the following second-order ODE representing a spring-mass-damper system for zero initial...
Consider the following second-order ODE representing a spring-mass-damper system for zero initial conditions (forced response): where u is the Unit Step Function (of magnitude 1 a. Use MATLAB to obtain an analytical solution x() for the differential equation, using the Laplace Transforms approach (do not use DSOLVE). Obtain the analytical expression for ao. Also obtain a plot of x() (for a simulation of 14 seconds) b. Obtain the Transfer Function representation for the system. c. Use MATLAB to obtain the...
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)...
1. Pole-zero placement. We wish to design a stable and causal second-order discrete-time (DT) fil...
1. Pole-zero placement. We wish to design a stable and causal second-order discrete-time (DT) filter (i.e., having two poles and two zeros, including those at 0 and oo) using pole-zero placement. (a) [5 pts] Where might you place the poles and zeros to achieve the following magnitude frequency response? Sketch the pole-zero plot in the complex z-plane. -Π -Tt/2 0 (b) [3 pts] Give an expression for the transfer function H(z). Justify your answer. (c) [2 pts] Write an expression...
A filter has two poles at -0.6±0.8j and a zero at -1 on the z-plane. The...
A filter has two poles at -0.6±0.8j and a zero at -1 on the z-plane. The DC gain is 1. What is the transfer function H(z)? Draw the pole-zero plot.
100 H(s) 2. For the transfer function: s3+32s2260s+400 a) create a reduced order model by removing...
100 H(s) 2. For the transfer function: s3+32s2260s+400 a) create a reduced order model by removing the "high frequency" pole (Hints ... Use zpk() to find poles. Make sure the new transfer function has the same Kdc as the original model) b) Use MatLab to verify that the step response for the two models are "equivalent"
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,...
[Q-1, 12 Marks] Answer the following briefly: (Imprecise answers will get zero marks) 1· (a) Chec...
Need b and c
[Q-1, 12 Marks] Answer the following briefly: (Imprecise answers will get zero marks) 1· (a) Check if the dominant poles concept is applicable (show your pole-zero skctch) to the system 630 G(s) (s2 16s 63) (s1.4s 2) and if it is, then i. Obtain the equivalent second order system transfer function i. Calculate the time to peak, overshoot and settling time iii. Sketch the second order system step response with the calculated parameters marked in the...
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.
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.
The open-loop transfer function of a system has two poles at -1 +0.-1-jand a zero at -1.. Im Х j Re -1 X Find the angle of departure of the root-locus from the pole at -1+j. Select one: a. -45° b. 135° c.oo d. 180°
Consider the following second-order ODE representing a spring-mass-damper system for zero initial conditions (forced response): where u is the Unit Step Function (of magnitude 1 a. Use MATLAB to obtain an analytical solution x() for the differential equation, using the Laplace Transforms approach (do not use DSOLVE). Obtain the analytical expression for ao. Also obtain a plot of x() (for a simulation of 14 seconds) b. Obtain the Transfer Function representation for the system. c. Use MATLAB to obtain the...
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)...
1. Pole-zero placement. We wish to design a stable and causal second-order discrete-time (DT) filter (i.e., having two poles and two zeros, including those at 0 and oo) using pole-zero placement. (a) [5 pts] Where might you place the poles and zeros to achieve the following magnitude frequency response? Sketch the pole-zero plot in the complex z-plane. -Π -Tt/2 0 (b) [3 pts] Give an expression for the transfer function H(z). Justify your answer. (c) [2 pts] Write an expression...
100 H(s) 2. For the transfer function: s3+32s2260s+400 a) create a reduced order model by removing the "high frequency" pole (Hints ... Use zpk() to find poles. Make sure the new transfer function has the same Kdc as the original model) b) Use MatLab to verify that the step response for the two models are "equivalent"
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,...
Need b and c
[Q-1, 12 Marks] Answer the following briefly: (Imprecise answers will get zero marks) 1· (a) Check if the dominant poles concept is applicable (show your pole-zero skctch) to the system 630 G(s) (s2 16s 63) (s1.4s 2) and if it is, then i. Obtain the equivalent second order system transfer function i. Calculate the time to peak, overshoot and settling time iii. Sketch the second order system step response with the calculated parameters marked in the...
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