From 4b27fd1966f7247052f1a1735430055f8129d00b Mon Sep 17 00:00:00 2001 From: Dane Sabo Date: Wed, 16 Oct 2024 16:26:08 -0400 Subject: [PATCH] vault backup: 2024-10-16 16:26:08 --- 4 Qualifying Exam/2 Writing/2. QE State of the Art.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/4 Qualifying Exam/2 Writing/2. QE State of the Art.md b/4 Qualifying Exam/2 Writing/2. QE State of the Art.md index d050f7e7..42b1d227 100644 --- a/4 Qualifying Exam/2 Writing/2. QE State of the Art.md +++ b/4 Qualifying Exam/2 Writing/2. QE State of the Art.md @@ -27,7 +27,7 @@ $$ \mathcal{P} = \left\{ \frac{1}{(m+e_m)s^2 + (b+e_b)s + (k + e_k)} \right\} \t \matrix{m_{min} \leq m+e_m \leq m_{max} \\ b_{min} \leq b +e_b \leq b_{max} \\ k_{min} \leq k +e_k \leq k_{max}} $$ -where $e_m$ is the difference between the nominal mass and the actual as-built mass. $e_b$ and $e_k$ follow similar logic. Structured perturbations are easy to use to create perturbed plants: simply pick values for $e_m$, $e_b$, and $e_k$ that are within the allowable bounds and plug them in to create a new, perturbed transfer function. +where $e_m$ is the difference between the nominal mass and the actual as-built mass. $e_b$ and $e_k$ follow similar logic. Structured perturbations are easy to use to create perturbed plants: simply pick values for $e_m$, $e_b$, and $e_k$ that are within the allowable bounds and plug them in to create a new, perturbed transfer function. These (The disk multiplicative perturbation) (Explain how actually getting to W_2 isn't really trivial). \ No newline at end of file