scholarly journals A Receptance-Based Optimization Approach for Minimum Norm and Robust Partial Quadratic Eigenvalue Assignment

2021 ◽  
Vol 2 (2) ◽  
pp. 357-375
Author(s):  
Min Lu & Zheng-Jian Bai
Keyword(s):  
Optimization Approach ◽  
Minimum Norm ◽  
Quadratic Eigenvalue ◽  
Eigenvalue Assignment

scholarly journals Robustness of the quadratic partial eigenvalue assignment using spectrum sensitivities for state and derivative feedback designs

2018 ◽  
Vol 37 (2) ◽  
pp. 253-268 ◽  
Author(s):  
José M Araújo ◽  
Carlos ET Dórea ◽  
Luiz MG Gonçalves ◽  
João BP Carvalho ◽  
Biswa N Datta
Keyword(s):  
Closed Loop ◽  
Explicit Knowledge ◽  
Active Vibration Control ◽  
Real Life ◽  
Optimization Approach ◽  
Practical Applications ◽  
Loop Feedback ◽  
Active Vibration ◽  
Quadratic Eigenvalue ◽  
Eigenvalue Assignment

Based on the notions of spectrum sensitivities, proposed by us earlier, we develop a novel optimization approach to deal with robustness in the closed-loop eigenvalues for partial quadratic eigenvalue assignment problem arising in active vibration control. A distinguished feature of this new approach is that the objective function is composed of only the system and the closed-loop feedback matrices. It does not need an explicit knowledge of the eigenvalues and eigenvectors. Furthermore, the approach is applicable to both the state-feedback and derivative feedback designs. These features make the approach viable to design an active vibration controller for practical applications to large real-life structures. A comparative study with existing algorithms and a study on the transient response of a real-life system demonstrate the effectiveness, superiority, and competitiveness of the proposed approach.

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