From dc3cb58536a9158aa36553b295baf4909061130a Mon Sep 17 00:00:00 2001 From: Obsidian-MBPM4 Date: Thu, 12 Jun 2025 23:41:18 +0300 Subject: [PATCH] vault backup: 2025-06-12 23:41:18 Affected files: .obsidian/plugins/text-extractor/cache/19bf7bae4584f22d8d824ea9198ecda3.json .obsidian/plugins/text-extractor/cache/27f380e86244d5c5dcc79cac6cf90fde.json .obsidian/plugins/text-extractor/cache/95e163ec3e8e9050cfaaa2193f8941bd.json .obsidian/plugins/text-extractor/cache/b57b2074137d041e1b90d3b0c0e54e0e.json .obsidian/plugins/text-extractor/cache/fc6628ddefe8ab0bf9813594d700a2c0.json .obsidian/workspace.json 99 Work/0 OneSec/OneSecNotes/30 Engineering Skills/Robotics/Kalman Filter.md Attachments/Pasted image 20250612225625.png Attachments/Pasted image 20250612230042.png Attachments/Pasted image 20250612230104 1.png Attachments/Pasted image 20250612230104.png Attachments/Pasted image 20250612230414.png --- .../19bf7bae4584f22d8d824ea9198ecda3.json | 1 + .../27f380e86244d5c5dcc79cac6cf90fde.json | 1 + .../95e163ec3e8e9050cfaaa2193f8941bd.json | 1 + .../b57b2074137d041e1b90d3b0c0e54e0e.json | 1 + .../fc6628ddefe8ab0bf9813594d700a2c0.json | 1 + .obsidian/workspace.json | 12 +++---- .../Robotics/Kalman Filter.md | 34 +++++++++++++++++- Attachments/Pasted image 20250612225625.png | Bin 0 -> 4106115 bytes Attachments/Pasted image 20250612230042.png | Bin 0 -> 1456359 bytes Attachments/Pasted image 20250612230104 1.png | Bin 0 -> 2998160 bytes Attachments/Pasted image 20250612230104.png | Bin 0 -> 2998160 bytes Attachments/Pasted image 20250612230414.png | Bin 0 -> 1824254 bytes 12 files changed, 44 insertions(+), 7 deletions(-) create mode 100644 .obsidian/plugins/text-extractor/cache/19bf7bae4584f22d8d824ea9198ecda3.json create mode 100644 .obsidian/plugins/text-extractor/cache/27f380e86244d5c5dcc79cac6cf90fde.json create mode 100644 .obsidian/plugins/text-extractor/cache/95e163ec3e8e9050cfaaa2193f8941bd.json create mode 100644 .obsidian/plugins/text-extractor/cache/b57b2074137d041e1b90d3b0c0e54e0e.json create mode 100644 .obsidian/plugins/text-extractor/cache/fc6628ddefe8ab0bf9813594d700a2c0.json create mode 100644 Attachments/Pasted image 20250612225625.png create mode 100644 Attachments/Pasted image 20250612230042.png create mode 100644 Attachments/Pasted image 20250612230104 1.png create mode 100644 Attachments/Pasted image 20250612230104.png create mode 100644 Attachments/Pasted image 20250612230414.png diff --git a/.obsidian/plugins/text-extractor/cache/19bf7bae4584f22d8d824ea9198ecda3.json b/.obsidian/plugins/text-extractor/cache/19bf7bae4584f22d8d824ea9198ecda3.json new file mode 100644 index 0000000..a75f843 --- /dev/null +++ b/.obsidian/plugins/text-extractor/cache/19bf7bae4584f22d8d824ea9198ecda3.json @@ -0,0 +1 @@ +{"path":"Attachments/Pasted image 20250612230104 1.png","text":"W 1 0 ° sin@ cos ¢ B(, 1:9 = c050 0 cospcosO —sin@cos0 W, ® cos@ sin¢sinf cos ¢ sin 0 W3 —— — — B 7 D 17e Û”V‘Ôîô }: j;] B/ N B/‚oß v3 ]y","libVersion":"0.3.2","langs":"deu+eng+fra"} \ No newline at end of file diff --git a/.obsidian/plugins/text-extractor/cache/27f380e86244d5c5dcc79cac6cf90fde.json b/.obsidian/plugins/text-extractor/cache/27f380e86244d5c5dcc79cac6cf90fde.json new file mode 100644 index 0000000..b2dcde3 --- /dev/null +++ b/.obsidian/plugins/text-extractor/cache/27f380e86244d5c5dcc79cac6cf90fde.json @@ -0,0 +1 @@ +{"path":"Attachments/Pasted image 20250612225625.png","text":"A E L AR _ 20 f{ 'lï I L 0 L IN LR | | Ë 'l_ id M “'l | A IM CIN | ä °|{ ‘N e e e ST","libVersion":"0.3.2","langs":"deu+eng+fra"} \ No newline at end of file diff --git a/.obsidian/plugins/text-extractor/cache/95e163ec3e8e9050cfaaa2193f8941bd.json b/.obsidian/plugins/text-extractor/cache/95e163ec3e8e9050cfaaa2193f8941bd.json new file mode 100644 index 0000000..d78e4c4 --- /dev/null +++ b/.obsidian/plugins/text-extractor/cache/95e163ec3e8e9050cfaaa2193f8941bd.json @@ -0,0 +1 @@ +{"path":"Attachments/Pasted image 20250612230104.png","text":"W 1 0 ° sin@ cos ¢ B(, 1:9 = c050 0 cospcosO —sin@cos0 W, ® cos@ sin¢sinf cos ¢ sin 0 W3 —— — — B 7 D 17e Û”V‘Ôîô }: j;] B/ N B/‚oß v3 ]y","libVersion":"0.3.2","langs":"deu+eng+fra"} \ No newline at end of file diff --git a/.obsidian/plugins/text-extractor/cache/b57b2074137d041e1b90d3b0c0e54e0e.json b/.obsidian/plugins/text-extractor/cache/b57b2074137d041e1b90d3b0c0e54e0e.json new file mode 100644 index 0000000..d5bbb6c --- /dev/null +++ b/.obsidian/plugins/text-extractor/cache/b57b2074137d041e1b90d3b0c0e54e0e.json @@ -0,0 +1 @@ +{"path":"Attachments/Pasted image 20250612230042.png","text":"W 0 - 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Compute Kalman Gain This is the dynamic update of the Kalman gain. @@ -86,7 +98,27 @@ Note: - $H$: is the measurement noise: you can control it with better sensors -### Simple Example +## Dynamic Attitude Determination +Sensors: +- Gyroscope and accelerometer + +Lets integrate the gyro data to visualize what we could do to get the attitude. +![[Pasted image 20250612230104 1.png]] +As we can see below, there is a lot of drift meaning the numerical integration is no good. +![[Pasted image 20250612230414.png]] + +System Model + +## Key Takeaways + +Use the Kalman filter to estimate velocity from position samples. Its much more precise than a simple derivative. +![[Pasted image 20250612225625.png]] + + +Why do IMUs have gyro and accelerometers? Because they work really well together. The gyro is fast and gives quite good data on a short time horizon, but has terrible drift. On contrary, the accelerometer is quite noisy, but gives a true value about attitude, because it can measure gravity. 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