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tdehaeze committed 2026-10-12 14:10:30 +02:00
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@@ -100,7 +100,7 @@ The loop must maintain very good frequency response fidelity over wide frequency
But a key fact about physical systems is that they do not exhibit good frequency response fidelity beyond a certain bandwidth.
This is due to uncertain or unmodeled dynamics in the plant, to digital control implementations, to power limits, to nonlinearities, and to many other factors.
Let us call that bandwidth the available bandwidth" \\(\Omega\_a\\), to distinguish it from other bandwidths such as crossover or \\(3-dB\\) magnitude loss.
The available bandwidth is the frequency up to which we can keep \\(G(j\omega) K(j\omega)\\) close to a nominal design and beyond which we can only guarantee that the actual loop magnitude will attenuate rapidly enough (e.g. \\(|G(j\omega) K(j\omeg\\))| < δ/ω^2$).
The available bandwidth is the frequency up to which we can keep \\(G(j\omega) K(j\omega)\\) close to a nominal design and beyond which we can only guarantee that the actual loop magnitude will attenuate rapidly enough (e.g. \\(|G(j\omega) K(j\omega)| < \delta/\omega^2\\)).
In today's popular robust control jargon, the available bandwidth is the frequency range over which the unstructured multiplicative perturbations are substantially less than unity.
Note that the available bandwidth is not a function of the compensator or of the control design process.