From e2819db6780bf78d941169c26352547512a56d5e Mon Sep 17 00:00:00 2001 From: Dane Sabo Date: Sat, 12 Oct 2024 13:36:04 -0400 Subject: [PATCH] vault backup: 2024-10-12 13:36:04 --- .../3 Notes/Feedback Control Theory.md | 19 +++++++++++++++++- Pasted image 20241012132644.png | Bin 0 -> 16485 bytes 2 files changed, 18 insertions(+), 1 deletion(-) create mode 100644 Pasted image 20241012132644.png 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 0000000000000000000000000000000000000000..6a2b0fdfd7411d8b7696d74ad97ab96ff5ed46bd GIT binary patch literal 16485 zcmd^mWmH^Evo7uuLV(~9+zBLDfFU8spusIba0nLMB?NhaV1qlsEx3CixVt-p`(T6K zP4a$sopsl`=l5Ob@@E!%_pa`)s;;hj`sv^g3R1XOWLO9Y2)JPB_sR$eC^iTPhz1yF zz!Tc6{pY|Bio-jwDhBZ9iDCQ?@IR@egr=j4t*N7nfxQWWnT@Tr35SD`y@`p9gSoBa z5pt_2(1_!)k+{8yfun`34UMXWwF!cXfg{aJ9vVd>M;ab(o>w&7FNJvcgm?vLKFHHZ zyjNXJV{Jh|pg{n?f2-=6vcKq-5`Mn+a5C+*Y-&X(OCQ4!Ma;k;o9}-i!lA7Y$~UKI z!L_qp70(CtCuRX-J5f9%irTk)F$>O(gmSN^?Og`JU?P-`-+6hbU-Oo3t&e6kl{S+mw8Vq2B9y=*REyAxQtxQ&Iu5n z%j7gzG=lH%1)~(GPK?rnm1$SM{}H8Lj`QU=k+E4vdpXy8N+}3E(Fy2KUJG}6Oq3z4at7j^=RoG zpJynvBz!;nW@^(-`(losi@3k?LMx@Q`a+RMiDVFfRbmTtdm;VTRftT9`u)Ej*)dF( 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