Recent content by jimmi975

I cant see what A-line(Asymptotes) has to do with slope?

Well, if we put infinity instead of taw, the characteristic eq goes to infinity and the TF goes to 0.

that is the general equation, we can have any value of taw in there. As in this image, the taw is RC, but the main idea is no matter what is the taw, the plots will remain the same at a steady state. with the slope of -1 for 1st order systems.

I don't think I have an equation that you ask for, but the above image might help.

I think as the ratio is constant for the change in vertical vs change in horizontal for 1 st order dynamics thus, we get a 1 slope, and the reason it's negative is the inverse relation between w and x.

this is what I can explain regarding first-order dynamics and the difference between this and second order is just the damping ratio is involved in the second-order characteristic equation and the highest degree is 2 and the plot you get for frequency response of the log-log plot of x vs w is...

the slope is -1 and -2 for first and second-order systems respectively?

well, log is just used as a scale here, the main question is why the slopes are -1 and -2?

Both system equations and plots are provided in the attached files

Log-Log plots (x_0 vs w) why slopes are -1 and -2 when the system goes to infinity in first and second-order systems respectively.https://files.engineering.com/getfile.aspx?folder=494ef798-ba16-4704-8b47-cb5e0d01d2bf&file=challange_.png