diff --git a/4 Qualifying Exam/3 Notes/Feedback Control Theory.md b/4 Qualifying Exam/3 Notes/Feedback Control Theory.md index 72b5327a..4082c147 100644 --- a/4 Qualifying Exam/3 Notes/Feedback Control Theory.md +++ b/4 Qualifying Exam/3 Notes/Feedback Control Theory.md @@ -93,6 +93,8 @@ W_2 is basically a transfer function that will always be greater in magnitude th >> A system is robustly stable if it is internally stable for every plant in the set $\mathcal{P}$: >> $$|| \Delta W_2 T ||_\infty < 1$$ >> ![[Pasted image 20241015172652.png]] +>> Nominal performance is achieved simultaneously when +>> $$ || \text{max} (|W_1S|, |W_2 T|)||_\infty < 1$$> > >>[!important] Robust Performance >>$$ |||W_1 S | + |W_2 T| ||_\infty < 1 $$