I am solving a damped oscillatory system by MATLAB. The system is stable, but the H_2 norm calculated by MATLAB is infinity.
When I increase the damping of the system, it becomes finite, but that doesn't make sense; because the only thing that changes is the amplitude of oscillation.
I think this is most probably an error in MATLAB.
Do you think so?
the equation of the system is: q^2+2*mu*Omega*q+Omega^2=f.
Four modes are included with frequencies of 166, 280, 650, 2200 Hz. mu=0.02.
Dear Ehsan,
What exactly is the H_2 norm that you are computing? Please attach a script of MATLAB including all the functions you have implemented in order for us to investigate this "infinity" result.
As I see your equation, the response should be bounded and no "resonance to infinity" should take place in the presence of damping.
By the way, what is the shape of your forcing function f? What is its frequency spectrum?
Best
Dear Ehsan,
First, I believe by damped oscillatory system, you mean underdamped system. Because the system you’ve given here is a second-order system. Stable second-order systems can be over-damped (zeta>1), critically damped (zeta=1), under-damped (0
Thank you for your useful responses dear Hady and Amin.
I will message you the code Hady, and try the approach you mentioned Amin.
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