From 12c7d9c7573d2e47c879803881c182bd99ae83a9 Mon Sep 17 00:00:00 2001 From: Dane Sabo Date: Tue, 15 Oct 2024 17:21:18 -0400 Subject: [PATCH] vault backup: 2024-10-15 17:21:18 --- 4 Qualifying Exam/3 Notes/Feedback Control Theory.md | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/4 Qualifying Exam/3 Notes/Feedback Control Theory.md b/4 Qualifying Exam/3 Notes/Feedback Control Theory.md index 9bce832a..03c5912a 100644 --- a/4 Qualifying Exam/3 Notes/Feedback Control Theory.md +++ b/4 Qualifying Exam/3 Notes/Feedback Control Theory.md @@ -90,7 +90,10 @@ W_2 is basically a transfer function that will always be greater in magnitude th >[!note] Robustness >A controller $C$ is robust to set of plants $\mathcal{P}$ with respect to a characteristic if this characteristic holds for every plant in $\mathcal{P}$. >> [!important] Robust Stability ->> A system is robustly stable if it is internally stable for every plant in the set $\mathcal{P}$. +>> A system is robustly stable if it is internally stable for every plant in the set $\mathcal{P}$: +>> $$|| \Delta W_2 T ||_\infty < 1$$ + + >>