Consider the closed-loop transfer function
\(T\left( s \right) = \frac{{\omega _n^2}}{{{s^2} + 2\xi {\omega _n}s + \omega _n^2}}\)
The magnitude plot |T(jω)| versus (ω/ωn) of the system for different values of damping ratio (ξ) is shown below.
Which of the following orders of damping ratios is correct?
1
\({\xi _4} > {\xi _1} > \;{\xi _2} > {\xi _3}\)
2
\({\xi _1} > {\xi _2} > {\xi _3} > {\xi _4}\)
3
\({\xi _4} > {\xi _3} > {\xi _2} > {\xi _1}\)
4
\({\xi _1} > {\xi _4} > {\xi _3} > {\xi _2}\)