A new upper bound for the skewed structured singular value

1999 ◽  
Vol 9 (1) ◽  
pp. 33-49 ◽  
Author(s):  
Gilles Ferreres ◽  
Vincent Fromion
Keyword(s):  
Upper Bound ◽  
Singular Value ◽  
Structured Singular Value

Robustness Analysis of Mistuned Bladed Disk Using the Upper Bound of Structured Singular Value

2009 ◽  
Vol 131 (3) ◽  
Author(s):  
Jianyao Yao ◽  
Jianjun Wang ◽  
Qihan Li
Keyword(s):  
Upper Bound ◽  
Robustness Analysis ◽  
Control Model ◽  
Singular Value ◽  
Robust Performance ◽  
Structured Singular Value ◽  
Bladed Disk ◽  
Random Mistuning ◽  
And Performance ◽  
In Virtue Of

This paper presents a method for the robustness analysis of the bladed disk with bounded random mistuning. The robust stability and performance are evaluated by the upper bound of the structured singular value. The robust control model of the bladed disk is established in virtue of linear fractional transformation. The influences of intentional stiffness mistuning in harmonic patterns on the robustness of the mistuned bladed disk are investigated. The numerical results indicate that the robust performance of the mistuned bladed disk could be effectively enhanced by appropriate harmonic intentional mistuning. The proposed method can help us design a bladed disk, which is insensitive to dangerous random mistuning.

Adaptive Newton Algorithm in Computing the Upper Bound of Structured Singular Value

2014 ◽  
Vol 1044-1045 ◽  
pp. 1035-1039
Author(s):  
Cui Hua Luo
Keyword(s):  
Upper Bound ◽  
Singular Value ◽  
New Method ◽  
Robust Controller ◽  
Order Function ◽  
Structured Singular Value ◽  
Structured Uncertainty ◽  
Newton Algorithm ◽  
Low Order

This paper was presented a new method to compute structured singular value μ, which had been used widely to analyze and synthesize robust controller with structured uncertainty. The formulated method was adaptive Newton pathfollowing to find an optimal singular path at some frequency for low-order function of μ-Δ(M). The objective of the new algorithm was to calculate structured singular value conveniently and stably and finally design a better robust controller.

On the Gap Between the Complex Structured Singular Value and Its Convex Upper Bound

2006 ◽  
Vol 45 (4) ◽  
pp. 1251-1278 ◽  
Author(s):  
I. M. Jaimoukha ◽  
G. D. Halikias ◽  
U. Malik ◽  
S. K. Gungah
Keyword(s):  
Upper Bound ◽  
Singular Value ◽  
Structured Singular Value

An implicit small gain condition and an upper bound for the real structured singular value

1997 ◽  
Vol 29 (4) ◽  
pp. 197-205 ◽  
Author(s):  
Wassim M. Haddad ◽  
Vijaya-Sekhar Chellaboina ◽  
Dennis S. Bernstein
Keyword(s):  
Upper Bound ◽  
Singular Value ◽  
The Real ◽  
Structured Singular Value ◽  
Small Gain
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