---
readstatus: false
dateread:
title: "Guaranteed margins for LQG regulators"
year: 1978
authors:

  
  - "Doyle, J."
  

citekey: "doyleGuaranteedMarginsLQG1978"

journal: "IEEE Transactions on Automatic Control"


volume: 23


issue: 4





pages: 756-757

---
# Indexing Information
## DOI
[10.1109/TAC.1978.1101812](https://doi.org/10.1109/TAC.1978.1101812)
## ISBN
[](https://www.isbnsearch.org/isbn/)
## Tags:
#Algorithm-design-and-analysis, #Filters, #Gain, #Guidelines, #Noise-measurement, #Open-loop-systems, #Regulators, #Robustness, #Three-term-control, #White-noise

>[!Abstract]
>There are none.

>[!note] Markdown Notes
>OG Doyle paper that started Robust Control

>[!seealso] Related Papers
>[Feedback Control Theory](doyleFeedbackControlTheory2009)

# Annotations

>[!question] Don't Understand
> *Considerable attention has been given lately to the issue of robustness of linear-quadratic (LQ) regulators.*
> 

>[!question] Don't Understand
> *The full systcm matrix then becomes*
> 
> >[!note] Note
> >Look up LQR full system

>[!question] Don't Understand
> *Evaluation of the characteristic polynomial is rather tedious, but reveals that only the last two terms are functions of m*
> 
> >[!note] Note
> >Where did 'm' come from?

>[!done] Quote
> *point of these examples is that LQG solutions, unlike LQ solu- tions, provide no global system-independent guaranteed robustness properties. Like their more classical colleagues, modern LQG designers are obliged to test their margins for each speafic design.*
> 

### Imported: 2024-10-16 9:25 am