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4 Qualifying Exam/2 Writing/2. QE State of the Art.md
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@ -29,6 +29,8 @@ b_{min} \leq b +e_b \leq b_{max} \\
k_{min} \leq k +e_k \leq k_{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.
Structured perturbations allow for sampling of the set, but they do have a significant drawback. Structured perturbations severely restrict
Structured perturbations do suffer from a limit Structured perturbations do suffer from a limit
(The disk multiplicative perturbation) (The disk multiplicative perturbation)