Vibration control of micro-scale structures using their reduced second order bilinear models based on multi-moment matching criteria

DOI10.1016/J.APM.2019.09.054zbMath1481.93107OpenAlexW2978515734WikidataQ127172963 ScholiaQ127172963MaRDI QIDQ1988866

Mohammad Eghtesad, Mohsen Vakilzadeh, Ramin Vatankhah

Publication date: 24 April 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2019.09.054

zbMATH Keywords

vibration controllinear matrix inequalities (LMIs)micro-scale structuresmulti-moments

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (3)

Stabilization of discrete-time upper triangular nonlinear cascade systems using cross term constructed Lyapunov functional ⋮ A new stochastic isogeometric analysis method based on reduced basis vectors for engineering structures with random field uncertainties ⋮ Dimension reduction for k-power bilinear systems using orthogonal polynomials and Arnoldi algorithm

Uses Software

• SUGAR

Cites Work

• Model order reduction for linear and nonlinear systems: a system-theoretic perspective
• Chaos control in AFM systems using nonlinear delayed feedback via sliding mode control
• Dynamic characteristics of a beam angular-rate sensor
• Observer-based vibration control of non-classical microcantilevers using extended Kalman filters
• A Krylov subspace method based on multi-moment matching for model order reduction of large-scale second order bilinear systems
• A projection method for model reduction of bilinear dynamical systems
• Multi-order Arnoldi-based model order reduction of second-order time-delay systems
• Stabilizability of second-order bilinear systems
• Stabilizing controllers for bilinear systems
• Stable feedback control of bilinear systems
• Model order reduction of second-order systems with nonlinear stiffness using Krylov subspace methods and their symmetric transfer functions
• Approximation of Large-Scale Dynamical Systems

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