---
readstatus: true
dateread: 
title: Modified Bode Plots for Robust Performance in SISO Systems With Structured and Unstructured Uncertainties
year: 2012
authors:
  - Atsumi, Takenori
  - Messner, William C.
citekey: atsumiModifiedBodePlots2012
journal: IEEE Transactions on Control Systems Technology
volume: 20
issue: 2
pages: 356-368
---
# Indexing Information
## DOI
[10.1109/TCST.2011.2177978](https://doi.org/10.1109/TCST.2011.2177978)
## ISBN
[](https://www.isbnsearch.org/isbn/)
## Tags:
#Benchmark-testing, #Control-systems, #Frequency-response, #Loop-shaping, #Resonant-frequency, #robust-control, #Robustness, #structured-uncertainty, #Transfer-functions, #Uncertainty, #unstructured-uncertainty, #visualized-design

>[!Abstract]
>We have developed a loop-shaping methodology for robust control design in single-input single-output (SISO) systems with structured and unstructured uncertainties. This design method employs visualization tools that are modifications of the classical Bode plot. Using the proposed method control engineers can easily consider the effects of the structured and unstructured uncertainties without the need for transfer-function models of the plant, the sensitivity function performance, or the uncertainty. The method simultaneously can avoid excessive conservativeness and excessively high order controllers while improving controller performance and robustness. We show utility of the proposed method by applying it to a head-positioning control system in a hard disk drive.

>[!note] Markdown Notes
>None!

>[!seealso] Related Papers
>

# Annotations

>[!example] Secondary Source
> *A  UTOMATED design tools for robust control system based on , -synthesis, and linear matrix inequalities (LMI) have been widely used to assure both stability and performance in closed-loop systems subject to plant uncertainties [1], [2]. These techniques have been particularly successful for designing robust controller for multi-input/multi-output (MIMO) systems, for which classical control theory is ill-suited.*
> 

>[!done] Quote
> *The engineer cannot see the robust controller until building the generalized plant that contains all the robust control design problems.*
> 

>[!done] Quote
> *The disadvantage of loop shaping is that the usual measures of robustness-gain margin and phase margin-are inadequate to account for all but the simplest uncertainties in the nominal model.*
> 

>[!question] Don't Understand
> *Step 1) Determine the one or more frequency responses of , one gain frequency response of an upper bound of , and one gain frequency response of . They do not need to be transfer function models.*
> 
> >[!note] Note
> >Kind of just make something up? I get this is definitely easier than a TF but still.

### Imported: 2024-10-16 12:18 pm


