From cfee2d0785da6071fe6ab28e4fd825c6e1a6f9ff Mon Sep 17 00:00:00 2001 From: Dane Sabo Date: Wed, 16 Oct 2024 17:40:13 -0400 Subject: [PATCH] vault backup: 2024-10-16 17:40:13 --- 4 Qualifying Exam/2 Writing/2. QE State of the Art.md | 4 +++- 1 file changed, 3 insertions(+), 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 5039aff4..396a2115 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 @@ -29,9 +29,11 @@ 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. + Structured perturbations also require a lot of leg work to create + **Limitation:** *Structured perturbations limit the form of perturbation possible to sample.* Because structured perturbations either are chosen a priori or through a parametric study, the form of possible perturbed plants is limited. Structured perturbations do not allow for unmodelled dynamics to be included as a possible perturbation. -The other type of uncertainty considered is unstructured uncertainty. This type of uncertainty does not assume a form and thus is able to capture unmodelled behavior in its robustness analysis. Unstructured sets are advantageous compared to structured sets for this reason. Robustness with respect +The other type of uncertainty considered is unstructured uncertainty. This type of uncertainty does not assume a form and thus is able to capture unmodelled behavior in its robustness analysis. Unstructured sets are advantageous compared to structured sets for this reason. Robustness with respect to unstructured sets provides a guarantee of resilience to adverse conditions that are unanticipated, or difficult to model. (The disk multiplicative perturbation)