vault backup: 2024-10-15 17:32:50

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
 >>$$ |||W_1 S | + |W_2 T| ||_\infty < 1 $$