Matlab For Control Theory
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EE 6319 CONTROL THEORY COMPUTER ASSIGNMENT 01 The Answer of the computer Assignment 01 by using Matlab and SIMULINK are included in this document according to their Question number.
DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING FACULTY OF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I
RU/E/2006/013 5/18/2009
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
Q1. (I) I write the Matlab m-file to find the zero and poles and also s-plane representation
Values of Zero and Poles z = -7 p= -1.0000 + 1.0000i -1.0000 - 1.0000i k=3
FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 1
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
S-plane representation of zero and poles
FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 2
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
Q1. (ii) The Matlab m-file to find the zero and poles and also s-plane representation
Values of Zero and Poles >> q12 z = -2 p= 2.0000 -3.0000 -1.0000 k=5
FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 3
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
S-plane representation of zero and poles
FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 4
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
Q1. (iii) The Matlab m-file to find the zero and poles and also s-plane representation
Values of Zero and Poles >> q13 z= -5.0000 + 0.0000i -5.0000 - 0.0000i -3.0000 p= -2.0000 0.0000 + 2.0000i 0.0000 - 2.0000i -0.0000 + 2.0000i -0.0000 - 2.0000i k=2 FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 5
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
S-plane representation of zero and poles
FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 6
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
Q2). (I) Matlab command for partial fraction expansion of transfer function num = [2 5 3 6]; den = [1 6 11 6]; [r, p, k] = residue (num, den)
Results of the partial fraction expansion
FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 7
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
Q2). (ii) Matlab command for partial fraction expansion of transfer function
num = [2 4]; den = conv ([1 1], [1 0 4]); [r, p, k] = residue (num, den)
Results of the partial fraction expansion
FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 8
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
Q2). (iii) Matlab command for partial fraction expansion of transfer function num = [3 2]; den = [1 4 20]; [r, p, k] = residue (num, den)
Results of the partial fraction expansion
FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 9
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
Q3). (i)The Matlab .m files to plot of the impulse response
FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 10
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
Q3). (ii)The Matlab .m files to plot of the impulse response
Plot of Impulse Response
FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 11
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
Q3), (iii) The Matlab SIMULINK model for Unit-step function
FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 12
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
The result of the SIMULINK
FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 13
EE 6319 CONTROL THEORY COMPUTER ASSIGNMENT 01 The Answer of the computer Assignment 01 by using Matlab and SIMULINK are included in this document according to their Question number.
DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING FACULTY OF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I
RU/E/2006/013 5/18/2009
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
Q1. (I) I write the Matlab m-file to find the zero and poles and also s-plane representation
Values of Zero and Poles z = -7 p= -1.0000 + 1.0000i -1.0000 - 1.0000i k=3
FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 1
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
S-plane representation of zero and poles
FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 2
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
Q1. (ii) The Matlab m-file to find the zero and poles and also s-plane representation
Values of Zero and Poles >> q12 z = -2 p= 2.0000 -3.0000 -1.0000 k=5
FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 3
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
S-plane representation of zero and poles
FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 4
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
Q1. (iii) The Matlab m-file to find the zero and poles and also s-plane representation
Values of Zero and Poles >> q13 z= -5.0000 + 0.0000i -5.0000 - 0.0000i -3.0000 p= -2.0000 0.0000 + 2.0000i 0.0000 - 2.0000i -0.0000 + 2.0000i -0.0000 - 2.0000i k=2 FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 5
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
S-plane representation of zero and poles
FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 6
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
Q2). (I) Matlab command for partial fraction expansion of transfer function num = [2 5 3 6]; den = [1 6 11 6]; [r, p, k] = residue (num, den)
Results of the partial fraction expansion
FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 7
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
Q2). (ii) Matlab command for partial fraction expansion of transfer function
num = [2 4]; den = conv ([1 1], [1 0 4]); [r, p, k] = residue (num, den)
Results of the partial fraction expansion
FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 8
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
Q2). (iii) Matlab command for partial fraction expansion of transfer function num = [3 2]; den = [1 4 20]; [r, p, k] = residue (num, den)
Results of the partial fraction expansion
FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 9
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
Q3). (i)The Matlab .m files to plot of the impulse response
FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 10
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
Q3). (ii)The Matlab .m files to plot of the impulse response
Plot of Impulse Response
FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 11
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
Q3), (iii) The Matlab SIMULINK model for Unit-step function
FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 12
EE 6319 CONTROL THEORY DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING COMPUTER ASSIGNMENT 01
The result of the SIMULINK
FACULTYOF ENGINEERING UNIVERSITY OF RUHUNA
ARIYADASA L.P.N.I (RU/E/2006/013)
Page 13
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