Homework Answers
MATLAB code to plot:
figure;plot(time,output);xlabel('time');ylabel('output');grid
on;
figure;plot(input,output);xlabel('input');ylabel('output');grid
on;
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A system is known to have the following input and output relationship. (y output, f input) s2 +3s...
5. A system is known whose input-output relationship is determined by the following difference eq...
5. A system is known whose input-output relationship is determined by the following difference equation: y(n)--T(n-1) = x(n) +-x(n-1) Find the system function H(z) and plot the pole-zero plot
5. A system is known whose input-output relationship is determined by the following difference equation: y(n)--T(n-1) = x(n) +-x(n-1) Find the system function H(z) and plot the pole-zero plot
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...
Prelab Preparation: For the RC circuit shown in Figure 1, derive the modeling equation relating the output volta ge...
Prelab Preparation: For the RC circuit shown in Figure 1, derive the modeling equation relating the output volta ge Vout to the input voltage vin. What is the transfer function? What is the time constant of the system? Vout Figure 1: RC Circuit What is the analytical step response solution in terms of vin, Rand C? For assumed values of R 1 K, and C 6.8 uF, perform a simulation using Matlab/Simulink assuming an input square wave signal of 5Vpp,...
Consider the following system: -1-2-21 гг 1 0 1 L Where u is the system input and y is the measur...
control system with observer
Consider the following system: -1-2-21 гг 1 0 1 L Where u is the system input and y is the measured output. 1. Find the transfer function of the system. 2. Design a state feedback controller with a full-state observer such that the step response of the closed loop system is second order dominant with an overshoot Mp settling time ts s 5 sec. Represent the observer-based control system in a compact state space form. 10%...
*llUse Simulink to build a system with transfer function Α S2 +232 +1 Wn Wn where...
*llUse Simulink to build a system with transfer function Α S2 +232 +1 Wn Wn where A = 2.5, 0 n=0.5, and ( = 0.2. Plot output in time interval [0, 60] when input is a step function.
12:47 vital.liv.ac.uk giffgaff QUESTION 3 2 points Save Answer Using the model from the previous ...
i
need the answer to this question.
question 2
12:47 vital.liv.ac.uk giffgaff QUESTION 3 2 points Save Answer Using the model from the previous question, Q 2, determine the steady state value of the system output. Margin of error 0.05 QUESTION 2 2 points Save Answer Step Subtract Integrator Gain Scope 2.5 Display Build the above model and determine from the scope display the value of the output after 1 second from the rising start of the step input. Assume...
Given the following system, where Gs(s) - -e2) Given the following system, where Gc(s) S+3 3s++2)...
Given the following system, where Gs(s) - -e2) Given the following system, where Gc(s) S+3 3s++2) and H(s)s R(S) . Gc(s) G(s) Y(s) SOLVE IN MATLAB CODE ONLY Obtain the transfer function of the system above. Find zeros, poles, and gain of the transfer function and plot zeros and poles. Rewrite the transfer function using the partial fraction expansion. Graph the Step response. Graph the impulse response.
Given the following difference equation that describes the input output relationship, (a) Express Y(z), the z-transform...
Given the following difference equation that describes the input output relationship, (a) Express Y(z), the z-transform of the output, in terms of X(z), the z-transform of the input. (b) Find the system function H(z). (c) Identify the zeros and poles. Sketch the zero-pole plot. (d) For an input rn]- cos (n), find the output yn] (e) Use the zero-pole plot to explain what you obtain in d)
part II is what I need help one. part 1 is also attached for your reference...
part II is what I need help one. part 1 is also
attached for your reference
Part II: Low Pass Filter contd. Noise Removal To observe the noise removal capabilities of a low -pass filter, we will add a second input to the system to simulate noise Step 1: Alter your Simulink model by adding another sine wave function and use a Sum block to add the inputs together as the new input to the system. The second sine function...
Problem 1 Given the transfer function from input u(t) to output y(t), s2-4s +3 Y(s) U(s) (s2 + 6s + 8)(82 + 25) (a) Dev...
Problem 1 Given the transfer function from input u(t) to output y(t), s2-4s +3 Y(s) U(s) (s2 + 6s + 8)(82 + 25) (a) Develop a state space model for this transfer function, in the standard form y=Cx + Du (b) Suppose that zero input is applied, such that u 0. Perform a modal analysis of the state response for this open-loop system. Your analysis should include the nature of the time response for each mode, as well as how...
5. A system is known whose input-output relationship is determined by the following difference equation: y(n)--T(n-1) = x(n) +-x(n-1) Find the system function H(z) and plot the pole-zero plot
5. A system is known whose input-output relationship is determined by the following difference equation: y(n)--T(n-1) = x(n) +-x(n-1) Find the system function H(z) and plot the pole-zero plot
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...
Prelab Preparation: For the RC circuit shown in Figure 1, derive the modeling equation relating the output volta ge Vout to the input voltage vin. What is the transfer function? What is the time constant of the system? Vout Figure 1: RC Circuit What is the analytical step response solution in terms of vin, Rand C? For assumed values of R 1 K, and C 6.8 uF, perform a simulation using Matlab/Simulink assuming an input square wave signal of 5Vpp,...
control system with observer
Consider the following system: -1-2-21 гг 1 0 1 L Where u is the system input and y is the measured output. 1. Find the transfer function of the system. 2. Design a state feedback controller with a full-state observer such that the step response of the closed loop system is second order dominant with an overshoot Mp settling time ts s 5 sec. Represent the observer-based control system in a compact state space form. 10%...
*llUse Simulink to build a system with transfer function Α S2 +232 +1 Wn Wn where A = 2.5, 0 n=0.5, and ( = 0.2. Plot output in time interval [0, 60] when input is a step function.
i
need the answer to this question.
question 2
12:47 vital.liv.ac.uk giffgaff QUESTION 3 2 points Save Answer Using the model from the previous question, Q 2, determine the steady state value of the system output. Margin of error 0.05 QUESTION 2 2 points Save Answer Step Subtract Integrator Gain Scope 2.5 Display Build the above model and determine from the scope display the value of the output after 1 second from the rising start of the step input. Assume...
Given the following system, where Gs(s) - -e2) Given the following system, where Gc(s) S+3 3s++2) and H(s)s R(S) . Gc(s) G(s) Y(s) SOLVE IN MATLAB CODE ONLY Obtain the transfer function of the system above. Find zeros, poles, and gain of the transfer function and plot zeros and poles. Rewrite the transfer function using the partial fraction expansion. Graph the Step response. Graph the impulse response.
Given the following difference equation that describes the input output relationship, (a) Express Y(z), the z-transform of the output, in terms of X(z), the z-transform of the input. (b) Find the system function H(z). (c) Identify the zeros and poles. Sketch the zero-pole plot. (d) For an input rn]- cos (n), find the output yn] (e) Use the zero-pole plot to explain what you obtain in d)
part II is what I need help one. part 1 is also
attached for your reference
Part II: Low Pass Filter contd. Noise Removal To observe the noise removal capabilities of a low -pass filter, we will add a second input to the system to simulate noise Step 1: Alter your Simulink model by adding another sine wave function and use a Sum block to add the inputs together as the new input to the system. The second sine function...
Problem 1 Given the transfer function from input u(t) to output y(t), s2-4s +3 Y(s) U(s) (s2 + 6s + 8)(82 + 25) (a) Develop a state space model for this transfer function, in the standard form y=Cx + Du (b) Suppose that zero input is applied, such that u 0. Perform a modal analysis of the state response for this open-loop system. Your analysis should include the nature of the time response for each mode, as well as how...
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