Stability and performance robustness for multivariable linear systems

Automatica ◽  
1989 ◽  
Vol 25 (6) ◽  
pp. 935-942 ◽  
Author(s):  
R.I. Badr ◽  
M.F. Hassan ◽  
J. Bernussou ◽  
A.Y. Bilal
Keyword(s):  
Linear Systems ◽  
And Performance ◽  
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.

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