EE - 453 / E01 Fall 2003

Control I

Professor: Thomas

Submitted By:

Andrew Buettner

Partner:

Greg Kern

Lab #3: Study of Liquid Level Control System Using State Variable Method

Friday, December 12, 2003



Table Of Contents

        1) Cover Page 1

        2) Table of Contents 2

        3) Objective 3

        4) Components Used 3

        5) Procedures 3

        6) Lab Data / Results 3

          1) Diagram 1 3

          2) Table 1 4

          3) Table 2 4

          4) Table 3 4

          5) Table 4 5

          6) Table 5 5

          7) Diagram 2 5

          8) Diagram 3 6

          9) Diagram 4 6

          10) Diagram 5 7

          11) Table 6 7

          12) Table 7 7

          13) Diagram 6 8

          14) Diagram 7 8

          15) Table 8 9

          16) Table 9 9

        7) Conclusions 9

        8) Attachments 9




      1. Original lab handout

      2. Original lab data

      3. Calculations

      4. MatLab® log


















>> water(4,1)
Transfer function:
83.33 s + 83.33
-------------------------------
s^3 + 13.5 s^2 + 12.5 s + 66.67
Transfer function:
66.67
-------------------------------
s^3 + 13.5 s^2 + 12.5 s + 66.67
>> water(8,1)
Transfer function:
83.33 s + 83.33
-------------------------------
s^3 + 13.5 s^2 + 12.5 s + 133.3
Transfer function:
133.3
-------------------------------
s^3 + 13.5 s^2 + 12.5 s + 133.3
>> water(15,1)
Transfer function:
83.33 s + 83.33
-----------------------------
s^3 + 13.5 s^2 + 12.5 s + 250
Transfer function:
250
-----------------------------
s^3 + 13.5 s^2 + 12.5 s + 250
>> den=[1 13.5 12.5 66.7];
>> stable(den)

a1 =

1.0000 12.5000 0 0


a2 =

13.5000 66.7000 0 0


b =

7.5593 0 0


b =

66.7000 0 0


b =

0 0 0

>> den=[1 13.5 12.5 133.3];
>> stable(den)

a1 =

1.0000 12.5000 0 0


a2 =

13.5000 133.3000 0 0


b =

2.6259 0 0


b =

133.3000 0 0


b =

0 0 0

>> den=[1 13.5 12.5 250];
>> stable(den)

a1 =

1.0000 12.5000 0 0


a2 =

13.5000 250.0000 0 0


b =

-6.0185 0 0


b =

250 0 0


b =

0 0 0

>>