Robust performance and structured singular value computation by quantifier elimination

1997 ◽  
Author(s):  
B. Bamieh
Keyword(s):  
Quantifier Elimination ◽  
Singular Value ◽  
Robust Performance ◽  
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.

scholarly journals A methodology to assess robust stability and robust performance of automatic flight control systems

2011 ◽  
Vol 22 (5) ◽  
pp. 429-440
Author(s):  
Alex Sander Ferreira da Silva ◽  
Henrique Mohallem Paiva ◽  
Karl Heinz Kienitz
Keyword(s):  
Control Systems ◽  
Robust Stability ◽  
Flight Control ◽  
Singular Value ◽  
Aircraft Industry ◽  
Mathematical Tool ◽  
Robust Performance ◽  
Structured Singular Value ◽  
Step Procedure

This article presents a methodology to assess the robust stability and the robust performance of automatic flight control systems (AFCS). The mathematical tool used in the proposed methodology is the structured singular value, µ. For comparison purposes, the paper uses a method largely employed in the aircraft industry to measure the quoted AFCS attributes. The issues existing in this methodology are discussed and it is shown that the proposed method presents one elegant path to deal with the mentioned drawbacks. A step by step procedure is provided, incorporating the advantages offered by the approach currently used in the industry and eliminating its weaknesses.

A Structured Singular Value Approach to Missile Autopilot Analysis II

1988 ◽  
Author(s):  
G. A. Hewer ◽  
Richard Klabunde ◽  
Charles Kenney
Keyword(s):  
Singular Value ◽  
Structured Singular Value
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