Question
Download Solution PDFAn R-C network has the transfer function \({G_C}\left( s \right) = \frac{{{s^2} + 10s + 24}}{{{s^2} + 10s + 16}}\)
The network could be used as
1. lead compensator
2. lag compensator
3. lag-lead compensator
Which of the above is/are correct?Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Pole zero plot of different compensators is given below.
|
Compensator |
Pole zero plot |
Important |
|
Lag |
|
Pole is near to the origin. Pole is dominant. |
|
Lead |
|
Zero is near to the origin. Zero is dominant. |
|
Lag-lead |
|
Lag system is dominant. Lag system is near to the origin. |
Application:
\({G_C}\left( s \right) = \frac{{{s^2} + 10s + 24}}{{{s^2} + 10s + 16}}\)
\( = \frac{{\left( {s + 4} \right)\left( {s + 6} \right)}}{{\left( {s + 2} \right)\left( {s + 8} \right)}}\)
Poles: s = -2, -8
Zeros: s = -4, -6
The pole-zero plot of the above transfer function is shown below.
The above pole-zero represents that the given system is a lag-lead compensator.
Last updated on Jul 2, 2025
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