Lecture 11: Frequency domain lead-lag compensator design Frequency response shaping in Matlab
1 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
Dr. Shadi M. Munshi Dr. Badr AlOufi
E-mail: [email protected] E-mail: [email protected]
ME 8043114 Automatic Control
Lecture Outline
▪ Frequency domain lead-lag compensator design
▪ Frequency response shaping in Matlab
2 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
3 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
4 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
5 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
6 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
7 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
8 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
9 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
10 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
11 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
12 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
13 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
14 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
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College of Engineering & Islamic Architecture Mechanical Engineering Department
16 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
17 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
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College of Engineering & Islamic Architecture Mechanical Engineering Department
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College of Engineering & Islamic Architecture Mechanical Engineering Department
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College of Engineering & Islamic Architecture Mechanical Engineering Department
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College of Engineering & Islamic Architecture Mechanical Engineering Department
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College of Engineering & Islamic Architecture Mechanical Engineering Department
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College of Engineering & Islamic Architecture Mechanical Engineering Department
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College of Engineering & Islamic Architecture Mechanical Engineering Department
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College of Engineering & Islamic Architecture Mechanical Engineering Department
26 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
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College of Engineering & Islamic Architecture Mechanical Engineering Department
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College of Engineering & Islamic Architecture Mechanical Engineering Department
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College of Engineering & Islamic Architecture Mechanical Engineering Department
30 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
31 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
32 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
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College of Engineering & Islamic Architecture Mechanical Engineering Department
34 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
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College of Engineering & Islamic Architecture Mechanical Engineering Department
36 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
37 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
38 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
39 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
40 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
41 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
42 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
43 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
44 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
45 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
46 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
47 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
48 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
49 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
50 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
51 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
52 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
53 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
54 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
55 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
56 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
57 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
58 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
59 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
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College of Engineering & Islamic Architecture Mechanical Engineering Department
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College of Engineering & Islamic Architecture Mechanical Engineering Department
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College of Engineering & Islamic Architecture Mechanical Engineering Department
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College of Engineering & Islamic Architecture Mechanical Engineering Department
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College of Engineering & Islamic Architecture Mechanical Engineering Department
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College of Engineering & Islamic Architecture Mechanical Engineering Department
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College of Engineering & Islamic Architecture Mechanical Engineering Department
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College of Engineering & Islamic Architecture Mechanical Engineering Department
68 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
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College of Engineering & Islamic Architecture Mechanical Engineering Department
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College of Engineering & Islamic Architecture Mechanical Engineering Department
Summary
▪ Lag compensator can be used for improving
▪ PM by maintaining low freq. gain or
▪ Low freq. gain by maintaining PM
▪ Lead compensator can be used for improving
▪ Gain crossover frequency 𝝎 𝒈 and
▪ PM, by maintaining low frequency gain.
▪ Lead-lag compensator can improve
▪ Transient (𝝎 𝒈 for speed, PM for overshoot)
▪ Steady state (low frequency gain for error constant)
▪ Frequency response shaping in Matlab
▪ SISO Design Tool
▪ Case Study
▪ Antenna azimuth position control
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▪ Next
▪ Course summary
▪ Problem solving
71 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
End of Lecture 11
72 Umm Al-Qura University
College of Engineering & Islamic Architecture Mechanical Engineering Department
