diff --git a/200 Library Papers/stevebruntonControlBootcampLimitations2017.md b/200 Library Papers/stevebruntonControlBootcampLimitations2017.md new file mode 100644 index 00000000..cd5ee84c --- /dev/null +++ b/200 Library Papers/stevebruntonControlBootcampLimitations2017.md @@ -0,0 +1,53 @@ +--- +readstatus: false +dateread: +title: "Control Bootcamp: Limitations on Robustness" +year: 2017 +authors: + + + - "Steve Brunton" + + +citekey: "stevebruntonControlBootcampLimitations2017" + + + + + + + +--- +# Indexing Information +## DOI +[](https://doi.org/) +## ISBN +[](https://www.isbnsearch.org/isbn/) +## Tags: + + +>[!Abstract] +>This video describes some of the fundamental limitations of robustness, including time delays and right-half plane zeros. + +Code available at: faculty.washington.edu/sbrunton/control_bootcamp_code.zip + +These lectures follow Chapters 1 & 3 from: + +Machine learning control, by Duriez, Brunton, & Noack +https://www.amazon.com/Machine-Learni... + +Chapters available at: http://faculty.washington.edu/sbrunto... + +This video was produced at the University of Washington + +>[!note] Markdown Notes +>None! + +>[!seealso] Related Papers +> + +# Annotations + +### Imported: 2024-10-17 10:42 am + + diff --git a/200 Library Papers/stevebruntonControlBootcampSensitivity2017.md b/200 Library Papers/stevebruntonControlBootcampSensitivity2017.md new file mode 100644 index 00000000..07197949 --- /dev/null +++ b/200 Library Papers/stevebruntonControlBootcampSensitivity2017.md @@ -0,0 +1,53 @@ +--- +readstatus: false +dateread: +title: "Control Bootcamp: Sensitivity and Robustness" +year: 2017 +authors: + + + - "Steve Brunton" + + +citekey: "stevebruntonControlBootcampSensitivity2017" + + + + + + + +--- +# Indexing Information +## DOI +[](https://doi.org/) +## ISBN +[](https://www.isbnsearch.org/isbn/) +## Tags: + + +>[!Abstract] +>Here we show that peaks in the sensitivity function result in a lack of robustness. + +Code available at: faculty.washington.edu/sbrunton/control_bootcamp_code.zip + +These lectures follow Chapters 1 & 3 from: + +Machine learning control, by Duriez, Brunton, & Noack +https://www.amazon.com/Machine-Learni... + +Chapters available at: http://faculty.washington.edu/sbrunto... + +This video was produced at the University of Washington + +>[!note] Markdown Notes +>None! + +>[!seealso] Related Papers +> + +# Annotations + +### Imported: 2024-10-17 10:43 am + + diff --git a/201 Metadata/My Library.bib b/201 Metadata/My Library.bib index 448a681c..8e92560b 100644 --- a/201 Metadata/My Library.bib +++ b/201 Metadata/My Library.bib @@ -11066,6 +11066,30 @@ Subject\_term: Careers, Politics, Policy}, abstract = {This video motivates robust control with the famous 1978 paper by John Doyle, titled "Guaranteed Margins for LQG Regulators"... Abstract: There are none. Code available at: faculty.washington.edu/sbrunton/control\_bootcamp\_code.zip These lectures follow Chapters 1 \& 3 from: Machine learning control, by Duriez, Brunton, \& Noack https://www.amazon.com/Machine-Learni... Chapters available at: http://faculty.washington.edu/sbrunto... This video was produced at the University of Washington} } +@video{stevebruntonControlBootcampLimitations2017, + entrysubtype = {video}, + title = {Control {{Bootcamp}}: {{Limitations}} on {{Robustness}}}, + shorttitle = {Control {{Bootcamp}}}, + editor = {{Steve Brunton}}, + editortype = {director}, + date = {2017-03-08}, + url = {https://www.youtube.com/watch?v=ReAmUJMb1d8}, + urldate = {2024-10-17}, + abstract = {This video describes some of the fundamental limitations of robustness, including time delays and right-half plane zeros. Code available at: faculty.washington.edu/sbrunton/control\_bootcamp\_code.zip These lectures follow Chapters 1 \& 3 from: Machine learning control, by Duriez, Brunton, \& Noack https://www.amazon.com/Machine-Learni... Chapters available at: http://faculty.washington.edu/sbrunto... This video was produced at the University of Washington} +} + +@video{stevebruntonControlBootcampSensitivity2017, + entrysubtype = {video}, + title = {Control {{Bootcamp}}: {{Sensitivity}} and {{Robustness}}}, + shorttitle = {Control {{Bootcamp}}}, + editor = {{Steve Brunton}}, + editortype = {director}, + date = {2017-03-08}, + url = {https://www.youtube.com/watch?v=7lzH-HnUFZg}, + urldate = {2024-10-17}, + abstract = {Here we show that peaks in the sensitivity function result in a lack of robustness. Code available at: faculty.washington.edu/sbrunton/control\_bootcamp\_code.zip These lectures follow Chapters 1 \& 3 from: Machine learning control, by Duriez, Brunton, \& Noack https://www.amazon.com/Machine-Learni... Chapters available at: http://faculty.washington.edu/sbrunto... This video was produced at the University of Washington} +} + @article{stiasnyPhysicsInformedNeuralNetworks2023, title = {Physics-{{Informed Neural Networks}} for {{Time-Domain Simulations}}: {{Accuracy}}, {{Computational Cost}}, and {{Flexibility}}}, shorttitle = {Physics-{{Informed Neural Networks}} for {{Time-Domain Simulations}}}, diff --git a/4 Qualifying Exam/3 Notes/Feedback Control Theory.md b/4 Qualifying Exam/3 Notes/Feedback Control Theory.md index 4082c147..4eee0027 100644 --- a/4 Qualifying Exam/3 Notes/Feedback Control Theory.md +++ b/4 Qualifying Exam/3 Notes/Feedback Control Theory.md @@ -99,3 +99,11 @@ W_2 is basically a transfer function that will always be greater in magnitude th >>[!important] Robust Performance >>$$ |||W_1 S | + |W_2 T| ||_\infty < 1 $$ >>![[Pasted image 20241015172708.png]] + +Something really helpful to think about came to mind as a result of watching a Steve Brunton video[^1]. Think about the way that loop gain works: +$$ y = \frac{L}{1+L} r $$ +If at a certain frequency $\omega$, L approaches -1, big problems happen. What this means is that the denominator in the above equation gets really small, which means the gain from r to y actually gets really big. If it IS -1, immediate undefined blow up. + +This is where robustness comes from. The distance between L and -1 for all frequencies is what robustness is. Less distance, less room for plant perturbation that could make you unstable. More distance, safer response. + +[^1]: [[stevebruntonControlBootcampSensitivity2017]] \ No newline at end of file