vault backup: 2025-02-03 07:04:13

2025-02-03 07:04:14 +01:00
parent e158386068
commit 7909836706
2019 changed files with 59 additions and 26816 deletions
--- a/System/.syncthing.Controllability
+++ b/System/.syncthing.Controllability
--- a/System/.syncthing.Learning.md.tmp
+++ b/System/.syncthing.Learning.md.tmp
--- a/System/.syncthing.Overview
+++ b/System/.syncthing.Overview
--- a/System/Controllability
+++ b/System/Controllability
@@ -1,41 +0,0 @@
-Xdd = Ax + Bu
-
-Y = Cx + Du
-
-  
-  
-
-A and B decide if it is controllable
-
-C and D decide if it is observable
-
-# Controlability
-
- System can be uncontrollable linearly, but controllable non-linearly
-  
-
-  
-
-## Linear Systems
-
-1. Compute Controllability Matrix C = [B AB … A^(n-1)B]
-2. If rank( C) = n <==> controllable
-3. Singular value decomposition (SVD) tells us about:it orders singular vectors to show most controllable to least controllable states
-
-  
-
- If system is controllable then:
-    
-    - Arbitrary eigenvalue (pole) placementu = -Kx <==> xd = (A-BK)x
-    - Reachibility (get to any state in R^n)R_t = R_n
-
-Definitions
-
- Reachable set R_t: all vectors in Rn that can be reached zome where sys is controllable
- Controllability Matrix: C = [B AB … A^(n-1)B]This matrix is equivalent to an impulse response in dicrete time: basically matrix says wether the control input reaches all the states eventually.
- Controllability Gramian:W_t = 
-    
-    - ![冖 DDzYm ](Exported%20image%2020231126171851-0.png)
- Stabilizibility: all unstable directions (eigenvectors) are controllable.
-    
-    - Unstable and lightly damped directions should be controllable!
--- a/OneNote/OSD/Control
+++ b/OneNote/OSD/Control
@@ -1,13 +0,0 @@
-[https://apmonitor.com/pdc/](https://apmonitor.com/pdc/)
-
-[https://apmonitor.com/pdc/index.php/Main/ModelSimulation](https://apmonitor.com/pdc/index.php/Main/ModelSimulation)
-
-[https://ch.mathworks.com/de/videos/tech-talks/controls.html](https://ch.mathworks.com/de/videos/tech-talks/controls.html)
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-  
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-  
-
-Good overview of drone control
-
-[A_review_on_drones_controlled_in_real-time.pdf](https://onedrive.live.com/embed?resid=D05036151E62BA13%213756&filename=A_review_on_drones_controlled_in_real-time.pdf&authkey=!AEvlrbu_TdPVjBw)
--- a/OneNote/OSD/Control
+++ b/OneNote/OSD/Control
@@ -1,4 +0,0 @@
-==A====utomatic Control Of Aircraft & Missile ( Blakelock)==
-
-  
-> From <[https://archive.org/details/AutomaticControlOfAircraftMissileBlakelock/page/n79/mode/2up](https://archive.org/details/AutomaticControlOfAircraftMissileBlakelock/page/n79/mode/2up)>
--- a/System/Resources.md
+++ b/System/Resources.md
@@ -1,16 +0,0 @@
-[https://ethz.ch/content/dam/ethz/special-interest/mavt/dynamic-systems-n-control/idsc-dam/Lectures/Control-Systems-2/Exercises/python-control.pdf](https://ethz.ch/content/dam/ethz/special-interest/mavt/dynamic-systems-n-control/idsc-dam/Lectures/Control-Systems-2/Exercises/python-control.pdf)
-
-  
-  
-
-# Books
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- Dynamical Systems with Applications using Python
-  
-
-  
-  
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-Websites
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- [https://www.eigensteve.com/](https://www.eigensteve.com/)