Natural frequency by 'damp(sys)'

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Xueting
Xueting 2014-9-14
编辑： Rick Rosson 2014-9-14
So when I use damp(sys) for a second order system, it returns two different natural frequencies instead of one. Say, for system tf(1,[1 7 10]), the poles are -2 and -5, natural frequency should be sqrt(10), while using damp(tf(1,[1 7 10])), the natural frequency returns 2 and 5. I'm really confused. Please advise, thanks :-)

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Rick Rosson
Rick Rosson 2014-9-14
编辑：Rick Rosson 2014-9-14
% Undamped natural frequency (radians per second):
omega_0 = sqrt(10);
% Attenuation coefficient (radians per second):
alpha = 7/2;
% Damping factor (dimensionless):
zeta = alpha/omega_0;
% Damped natural frequency (radians per second):
omega_d = sqrt(alpha^2 - omega_0^2);
% Pole location (complex s-plane):
poles(1) = -alpha + omega_d;
poles(2) = -alpha - omega_d;

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