Can Asymptote Approximations Fully Construct a Bode Plot?

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Asymptote approximations of a Bode plot can be constructed by finding the vector sum of each asymptote, particularly when dealing with multiple transfer functions in series. Each component, such as poles, zeros, and gain, can be represented individually on the Bode plot, and their effects summed to create the overall plot. For accurate representation, one can use additional points to refine the curves or utilize software like MATLAB for precise plotting. The discussion clarifies that while asymptote approximations provide a simplified view, exact methods exist for more accurate results. Understanding the relationship between the components is crucial for constructing a full Bode plot.
Jimbo
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Hi

If you have asymptote approximations of a Bode plot - do you just find the vector sum of each asymptote to construct the 'full' bode plot?

I hope that makes sense

Any help much appreciated

Jimbo
 
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I'm not quite sure what you mean. Are you talking about adding two Bode plots like when you have two transfer functions in series? Maybe you're breaking up the polynomial into its constituent parts; that's the same difference. When multiplying these terms together, the result is addition on the Bode plot. Say you have
H(s) = \frac{K(s+1)}{s}

You can break that up into an integrater (pole at the origin), a zero at s = -1, and a constant (gain) multiplier K. Draw the Bode plot for each component and sum together to find the overall Bode plot.

If you're talking about getting the actual Bode plot from the straight-line approximation, that's a different question. You can put in accuracy points to help you draw the curves or you could plot it exactly using something like MATLAB.
 
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