Equivalent Transfer Function of System of Blocks

Eleazer C. Nabong, Bulacan State University, College of Engineering
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Summary

The objective of this laboratory activity is for students to learn how to use MatLab to generate equivalent transfer function of blocks connected in, (1) series, (2) parallel and (3) feedback (canonical form). Also, they should be able to solve equivalent transfer function of the whole system of blocks.


Learning Goals

Define and describe the format of each of the following MatLab commands.
a) tf()
b) series()
c) parallel()
d) feedback()
e) printsys()

Use these MatLab commands in order to determine the equivalent transfer function of the system of blocks.

Context for Use

Description and Teaching Materials

2. Create a MatLab script to solve for the overall transfer function of the following system of blocks.
a) figure 1
b) figure 2


Given:

G1 = (s+1)/(s+2)

G2 = (s^2 + 2s + 5)/(s^3 + 4s^2 + 12s - 10)

G3 = (25)/(s^2 - 3s + 100)
G4 = (10s + 15)/(s + 1)(s + 16)

G5 = (s - 4)/(s^3 + 2s^2 + 10)

H1 = 1/(s + 12)

H2 = s/(s^2 + 5s + 16)

H3 = (s + 4)(s + 2)/(s)(s + 9)(3s + 13)






Teaching Notes and Tips

1. Write a Matlab script for both system of blocks and save them as BD1_Surname_Name.m and BD2_Surname_Name.m.

2. Double check your answers by solving both systems manually in a sheet of paper then save it as pdf file.

3. Put all your files in one folder named: Surname_Name_MI then submit it the folder provided in our G-classroom.

Assessment

References and Resources