A modified optimization method for robust partial quadratic eigenvalue assignment using receptances and system matrices

DOI10.1016/j.apnum.2020.08.018zbMath1482.74145OpenAlexW3081544358MaRDI QIDQ2227655

Min Lu, Zheng-Jian Bai

Publication date: 15 February 2021

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2020.08.018

zbMATH Keywords

robustnesspartial quadratic eigenvalue assignmentoptimization methodactive feedback controlopen-loop eigenvaluereceptance measurement

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Feedback control (93B52) Vibrations in dynamical problems in solid mechanics (74H45) Optimization of other properties in solid mechanics (74P10)

Related Items (2)

Robust and minimum norm dynamic compensator design for partial eigenvalues assignment problems in singular vibration systems ⋮ Design and convergence analysis of some implicit inertial methods for quasi-variational inequalities via the Wiener-Hopf equations

Cites Work

• Unnamed Item
• Unnamed Item
• Control of large flexible space structures
• Orthogonality and partial pole assignment for the symmetric definite quadratic pencil
• Further lower bounds for the smallest singular value
• Pole assignment with optimal spectral conditioning
• Finite element model updating in structural dynamics
• The Quadratic Eigenvalue Problem
• Robust partial eigenvalue assignment problem for the second-order system
• On the design of large flexible space structures (LFSS)
• Trends in large space structure control theory: Fondest hopes, wildest dreams
• Numerical Optimization
• Robust eigenvalue assignment in second-order systems: a gradient flow approach
• Robust partial pole-placement via gradient flow
• The Condition Number of Equivalence Transformations That Block Diagonalize Matrix Pencils
• Formulation and solution of the non‐linear, damped eigenvalue problem for skeletal systems
• Numerically robust pole assignment for second-order systems
• Robust Partial Pole Assignment for Vibrating Systems With Aerodynamic Effects
• Optimization algorithms exploiting unitary constraints
• PARTIAL EIGENSTRUCTURE ASSIGNMENT FOR THE QUADRATIC PENCIL
• POLE ASSIGNMENT IN VIBRATORY SYSTEMS BY MULTI-INPUT CONTROL

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