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Words 465

Pages 2

ECET-402 Week 6 Lab Worksheet Name: John Natale

Block Diagram Simplification and Step/Impulse Responses

Please complete this worksheet and submit to week 6 lab dropbox

This worksheet serves as coversheet

1. Determine the overall transfer function of the system given below by hand as discussed in pre-lab. Please show your work and type the equations if you can.

TF=(Y(s))/(X(s))=((s^3+3s^2+3s+2)/(〖2s〗^4+6s^3+15s^2+12s+5))/(1+(s^3+3s^2+3s+2)/(〖2s〗^4+6s^3+15s^2+12s+5)×2/s)=(s^4+3s^3+3s^2+2s)/(2s^5+6s^4+17s^3+18s^2+11s+4)

TF=(Y(s))/(X(s))=(s^4+3s^3+3s^2+2s)/(2s^5+6s^4+17s^3+18s^2+11s+4)

2. Determine the overall transfer function of the system shown above using MATLAB. Copy the MATLAB code and the overall transfer function obtained and paste them below:

>> nG1 = [1 0];

>> dG1 = [1];

>> G1 = tf (nG1, dG1) Transfer function:

>> nG2 = [1];

>> dG2 = [1 1];

>> G2 = tf (nG2, dG2)

Transfer function: 1

-----

s + 1 >> nG3 = [1];

>> dG3 = [1 0];

>> G3 = tf (nG3, dG3) Transfer function:

1

- s >> nG4 = [1 2];

>> dG4 = [1 2 5];

>> G4 = tf (nG4, dG4) Transfer function: s + 2

-------------

s^2 + 2 s + 5 >> nG5 = [2];

>> dG5 = [1 0];

>> G5 = tf (nG5, dG5) Transfer function:

2

- s >> G6 = series (G1, G2)

Transfer function: s

-----

s + 1 >> G7 = parallel (G3, G6) Transfer function: s^2 + s + 1

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s^2 + s >> G8 = feedback(G7, 1) Transfer function: s^2 + s + 1

---------------

2 s^2 + 2 s + 1 >> G9 = series (G8, G4) Transfer function: s^3 + 3 s^2 + 3 s + 2

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2 s^4 + 6 s^3 + 15 s^2 + 12 s + 5 >> TF = feedback (G9, G5) Transfer function: s^4 + 3 s^3 + 3 s^2 + 2 s

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2 s^5 + 6 s^4 + 17 s^3 + 18 s^2 + 11 s + 4

3. Are the results in steps 1 and 2 the same? Comment if they are not.

Yes, they are the same.

4. Determine the unit step response of the overall system using the MATLAB command described in the pre-lab. Copy the unit step response and paste it below.

5. Determine the impulse response of the overall system using the MATLAB command described in the pre-lab. Copy the impulse response and paste it below.

6. Is the overall system stable?

Yes, the system is stable.

7. Submit the worksheet to week-6 dropbox.

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...------------------------------------------------- ECET-402 Week 2 Lab – Acquiring Temperature & Signal Conditioning This lab actually consists of two separate but related labs. They will be presented in Parts A and B. Objective: The objective of this lab is to use an LM34 temperature sensor to acquire temperature and display it in an 8-bit binary number using LEDs and designing simple signal conditioning circuits using op-amps. Parts Needed: 1. Multisim 8 (or higher) 2. LM34 Temperature Sensor 3. ADC0809 4. 8 LEDs 5. Wires, wire cutter, and wire stripper 6. Adjustable DC Power Supply 7. Function Generator and DMM Part A – Temperature Sensor We will use an LM34 temperature sensor IC to measure temperature in Fahrenheit degrees. We will then convert the analog output voltage of the sensor to an 8-bit digital signal using the Analog to Digital converter ADC0809. Finally we will use 8 LEDs to display an 8-bit binary number representing the temperature. LM34: The LM34 series are precision integrated-circuit temperature sensors. The output voltage is directly proportional to temperature in Fahrenheit degrees. Output voltage increases by 10 mV for every one degree Fahrenheit. For example, an output voltage of 720 mV (0.72 V) indicates a temperature of 72 F. LM34 has a range of -50 to +300° F and can be operated with a voltage supply of 5 to 30 VDC. It draws only 75 µA from its......

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