Question 35.PE.NAQ.3: A control system is characterized by the following different......
A control system is characterized by the following differential equation.
\frac{d^2 y}{d t^2}+36 y=36 x
Determine the damped frequency (in rad/s).
Step-by-Step
Comparing the given differential equation with standard form, we get the damping ratio ζ = 0 and ω_n = 6 rad/s. The damped frequency in radians per second is given by
\omega_d=\omega_n \sqrt{1-\zeta^2}
Substituting the values of ω_n and ζ , we get
ω_d = 6 rad/s
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