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Robust and minimum norm partial eigenvalue assignment in singular vibration systems

delete2025-09-01
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PRE
AI
K
Kang Zhao *
J
Jiantian Wang
F
Fangting Deng
DOI:10.1016/j.jmaa.2025.130048delete
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Abstract

Abstract

En 中文
In this paper, the partial quadratic eigenvalue assignment problem (PQEAP) for the singular second-order system by the acceleration-velocity-displacement active controller was considered. Based on the spectral decomposition of quadratic symmetric pencil, a sufficient and necessary condition of the closed-loop to preserve no spill-over is provided. Using the receptances and system matrices, the parametric solutions of the PQEAP are characterized. Finally, a gradient-based optimization algorithm for the robust and minimum norm solution of the PQEAP is proposed. Numerical examples show the robustness and effectiveness of the proposed method. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
Keywords:
Active feedback control
Singular system
Partial quadratic eigenvalue
assignment
Robustness
Minimum norm

Journal

J
Journal of Mathematical Analysis and Applications
IF:
1.2
Papers:
426
Citations:
0

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No organization information available
Cited Papers

Cited Papers

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errTehrani, Maryam Ghandchi; Mottershead, John E.; Shenton, Andrew T.; Ram, Yitshak M.
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errMottershead, John E.; Tehrani, Maryam Ghandchi; James, Simon; Ram, Yitshak M.
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Receptance Method in Active Vibration Control
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errYitshak M. Ram; John E. Mottershead
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Receptance-Based Active Aeroelastic Control Using Multiple Control Surfaces
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errKumar V. Singh; Laura A. McDonough; Raymond Kolonay; Jonathan E. Cooper
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