engineering recuitment GATE ECE 2023-24 Test Series Control Systems Frequency Response Analysis Gain Margin
The transfer function of a mass – spring – damper system is given by
\({\rm{G}}\left( {\rm{s}} \right) = \frac{1}{{{\rm{M}}{{\rm{s}}^2} + {\rm{Bs}} + {\rm{K}}}}\)
The frequency response data for the system are given in the following table.
|
\({\rm{\omega }}\) in rad/s |
\(\left| {{\rm{G}}\left( {{\rm{j\omega }}} \right)} \right|\) in dB |
\(\arg \left( {{\rm{G}}\left( {{\rm{j\omega }}} \right)} \right)\) in deg |
|
0.01 |
-18.5 |
-0.2 |
|
0.1 |
-18.5 |
-1.3 |
|
0.2 |
-18.4 |
-2.6 |
|
1 |
-16 |
-16.9 |
|
2 |
-11.4 |
-89.4 |
|
3 |
-21.5 |
-151 |
|
5 |
-32.8 |
-167 |
|
10 |
-45.3 |
-174.5 |
Enter numerical value using the virtual keypad. Round off where necessary.