diff --git a/4 Qualifying Exam/3 Notes/Feedback Control Theory.md b/4 Qualifying Exam/3 Notes/Feedback Control Theory.md index bf57bc1c..353b55d6 100644 --- a/4 Qualifying Exam/3 Notes/Feedback Control Theory.md +++ b/4 Qualifying Exam/3 Notes/Feedback Control Theory.md @@ -1 +1,18 @@ -# Chapter 1: \ No newline at end of file +# Chapter 1: +![[Pasted image 20241012132644.png]] +Notable signals: +- r - reference or command input +- e - tracking error +- u - control signal, controller output +- d - plant distrurbance +- y - plant output +- n - sensor +# Chapter 2 - Norms +>[!note] Signal Norms +>1-Norm +> $$||u||_1 = \int_{-\infty}^{\infty} |u(t)|dt$$ +> 2-Norm +> $$||u||_2 = \left(\int_{-\infty}^{\infty} u(t)^2 dt \right)^{1/2}$$ +> $\infty$-Norm +> $$||u||_\infty = \text{sup}_t |u(t)|$$ + diff --git a/Pasted image 20241012132644.png b/Pasted image 20241012132644.png new file mode 100644 index 00000000..6a2b0fdf Binary files /dev/null and b/Pasted image 20241012132644.png differ