diff --git a/4 Qualifying Exam/3 Notes/Feedback Control Theory.md b/4 Qualifying Exam/3 Notes/Feedback Control Theory.md index 9bce832a9..03c5912a1 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 $\mathcal{P}$: +>> $$|| \Delta W_2 T ||_\infty < 1$$ + + >>