Matlab

E4265
All the assignment must submitted by
Due: Two weeks from assignment
fix up: The solution must be submitted in word archive by e-mail
Continuous Assignment 1
Write a Simulink/Matlab bundle program to simulate the step response of the process

uncut the process by the first order plus while delay model using the following methods
1. Two points method
2. pound method
3. Area method
4. Least squares method
5. Relay feedback method
Verify your results in both(prenominal) time domain and frequency domain.

Note: You need to surface the program, graph and step by step results.

1.
Two points method

K= ?y?u= 20.2=10
When amplitude is 28.4%, t1 = 5.76s
When amplitude is 63.2%,t2 = 9.19s
T = 1.5(t1-t2) = 1.5(9.19-5.76) = 5.145s
L = 0.5(3t11-t2) = 1.5(3*5.76-9.19) = 4.045s
Gs= 105.145s+1 e-4.045s

2. Log method
Time | Amplitude| lny-y(t)y |
5| 0.40| -0.223|
10| 1.38| -1.171|
15| 1.82| -2.408|
20| 1.98| -4.605|
25| 1.99| -5.



300|
30| 2| -|

By substituting all the points into the graph , ( lny-y(t)y vs Time),

lny-y(t)y= LT- tT
K = 10,
L = 5 and LT=1.4
* T = 5 / 1.4 = 3.571

Gs= 103.571s+1 e-5s
3. Area Method

A0(t) = 23.825
A1(t) = 3.485
T= eA1K= 3.485*e10=0.947
L= AoK-T= 23.82510- 0.947= 1.4355
Gs= 100.947s+1e-1.4355s

4. Least squares method

5. Relay feedback method

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