H8‐Norm performance robustness analysis of a linear parametric uncertain system

1998 ◽  
Vol 21 (2) ◽  
pp. 203-209
Author(s):  
Cheng Wen ◽  
I‐Kong Fong
Keyword(s):  
Robustness Analysis ◽  
Uncertain System ◽  
Performance Robustness

Robustness of Adaptive Rotor Vibration Control to Structured Uncertainty

1997 ◽  
Vol 119 (2) ◽  
pp. 243-250 ◽  
Author(s):  
C. R. Knospe ◽  
S. M. Tamer ◽  
S. J. Fedigan
Keyword(s):  
Robustness Analysis ◽  
Stability Margin ◽  
Singular Values ◽  
Open Loop ◽  
Worst Case ◽  
Loop Control ◽  
Structured Uncertainty ◽  
Analysis Of Stability ◽  
And Performance ◽  
Performance Robustness

Recent experimental results have demonstrated the effectiveness of adaptive open-loop control algorithms for the suppression of unbalance response on rotors supported in active magnetic hearings. Herein, tools for the analysis of stability and performance robustness of this algorithm with respect to structured uncertainty are derived. The stability and performance robustness analysis problems are shown to be readily solved using a novel application of structured singular values. An example problem is presented which demonstrate the efficacy of this approach in obtaining tight bounds on stability margin and worst case performance.

A Computational Method for Robust Bifurcation Analysis and Its Application to Biomolecular Systems

2015 ◽  
Vol 25 (07) ◽  
pp. 1540012
Author(s):  
Masaki Inoue ◽  
Hikaru Ikuta ◽  
Shuichi Adachi ◽  
Jun-Ichi Imura ◽  
Kazuyuki Aihara
Keyword(s):  
Quantitative Evaluation ◽  
Bifurcation Analysis ◽  
Nonlinear Dynamical System ◽  
Robustness Analysis ◽  
Uncertain System ◽  
Oscillatory Behavior ◽  
Computational Method ◽  
Biomolecular Systems ◽  
Nonlinear Dynamical ◽  
Analysis Technique

We consider a general uncertain nonlinear dynamical system defined in a certain model set, and reformulate a problem of robustness bifurcation analysis (RBA), which has been originally formulated in our previous work. As such, we develop an efficient computational method for the RBA, which can be used for quantitative evaluation of bifurcation robustness in uncertain dynamical systems. Specifically, we first linearize the uncertain system properly and then apply a feedback transformation technique to reduce the RBA problem to a linear robustness analysis one, which can be solved using μ-analysis, a common analysis technique in robust control theory. Finally, we provide robustness analysis of a gene regulatory network model where oscillatory behavior appears according to Hopf bifurcation. We give quantitative evaluation of the bifurcation robustness using the RBA method proposed here.

scholarly journals Performance robustness analysis in machine-assisted design of photonic devices

2019 ◽  
Author(s):  
Daniele Melati ◽  
Yuri Grinberg ◽  
Abi Waqas ◽  
Paolo Manfredi ◽  
Mohsen Kamandar Dezfouli ◽  
...  
Keyword(s):  
Robustness Analysis ◽  
Photonic Devices ◽  
Performance Robustness
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