Optimal control of a beam with Kelvin–Voigt damping subject to forced vibrations using a piezoelectric patch actuator

DOI10.1177/1077546313488617zbMath1349.93197OpenAlexW2171173123MaRDI QIDQ2832390

Ismail Kucuk, Kenan Yildirim, Ibrahim S. Sadek, Sarp Adali

Publication date: 11 November 2016

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546313488617

zbMATH Keywords

optimal controlmaximum principleforced vibrationsdamped beam

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Vibrations in dynamical problems in solid mechanics (74H45) Maximum principles in context of PDEs (35B50)

Related Items (6)

Optimal control of linear time‐delay systems by a hybrid of block‐pulse functions and biorthogonal cubic Hermite spline multiwavelets ⋮ Active piezoelectric vibration control for a Timoshenko beam ⋮ Active vibration control of structures using a leader–follower-based consensus design ⋮ A nonlinear plate control without linearization ⋮ Dynamics response control of a Mindlin-type beam ⋮ Optimal forced vibration control of a smart plate

Cites Work

• The existence of optimal controls
• A maximum principle approach to optimal control for one-dimensional hyperbolic systems with several state variables
• Bending vibration and buckling of non-uniform plate with time-dependent boundary conditions
• Placement of Multiple Piezo Patch Sensors and Actuators for a Cantilever Beam to Maximize Frequencies and Frequency Gaps
• Optimal placement and active vibration control for piezoelectric smart flexible cantilever plate
• Structural Damping and Vibration Control via Smart Sensors and Actuators
• Analytic and Finite Element Solutions for Active Displacement Feedback Control using PZT Patches
• Vibration Optimal Control of a Smart Plate with Input Voltage Constraint of Piezoelectric Actuators
• Active control of FGM plates with integrated piezoelectric sensors and actuators

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