A receptance method for robust and minimum norm partial quadratic eigenvalue assignment

2021 ◽  
Vol 160 ◽  
pp. 107838
Author(s):  
Huiqing Xie
Keyword(s):  
Minimum Norm ◽  
Receptance Method ◽  
Quadratic Eigenvalue ◽  
Eigenvalue Assignment

An Approach to Partial Quadratic Eigenvalue Assignment of Damped Vibration Systems Using Static Output Feedback

2018 ◽  
Vol 18 (01) ◽  
pp. 1850012 ◽  
Author(s):  
Jiafan Zhang ◽  
Yongxin Yuan ◽  
Hao Liu
Keyword(s):  
Output Feedback ◽  
Second Order ◽  
Order System ◽  
Feedback Gain ◽  
Static Output Feedback ◽  
Homogeneous Matrix ◽  
Quadratic Eigenvalue ◽  
Static Output ◽  
Damped Vibration Systems ◽  
Eigenvalue Assignment

This paper addresses the problem of the partial eigenvalue assignment for second-order damped vibration systems by static output feedback. The presented method uses the combined acceleration, velocity and displacement output feedback and works directly on second-order system models without the knowledge of the unassigned eigenpairs. It allows the input and output matrices to be prescribed beforehand in a simple form. The real-valued spectral decomposition of the symmetric quadratic pencil is adopted to derive a homogeneous matrix equation of output feedback gain matrices that assure the no spillover eigenvalue assignment. The method is validated by some illustrative numerical examples.

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