Boundary optimal control of structural vibrations in an annular plate

DOI10.1016/j.jfranklin.2004.11.001zbMath1071.74039OpenAlexW2027200467MaRDI QIDQ1776667

Sarp Adali, Ibrahim S. Sadek, John C. jun. Bruch, James M. Sloss

Publication date: 12 May 2005

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2004.11.001

zbMATH Keywords

maximum principlepenalty termperformance index

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Control/observation systems governed by partial differential equations (93C20) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)

Related Items (4)

Robust boundary stabilization of a vibrating rectangular plate using disturbance adaptation ⋮ Trajectory Tracking and Vibration Suppression for General Spatial Motion of a Flexible Plate via Two-time Scale and Boundary Control Methods ⋮ Reconstruction of the spatial component in the source term of a vibrating elastic plate from boundary observation ⋮ Boundary control of an axially moving system with high acceleration/deceleration and disturbance observer

Cites Work

• Energie decay estimates and exact boundary value controllability for the wave equation in a bounded domain
• Decay of solutions of wave equations in a bounded region with boundary dissipation
• On boundary controllability of a vibrating plate
• Feedback stabilization of distributed semilinear control systems
• Maximum principle for optimal boundary control of vibrating structures with applications to beams
• Optimal boundary control of one-dimensional multi-span vibrating systems
• A Newton method for the computation of time-optimal boundary controls of one-dimensional vibrating systems
• Optimal control theory for the damping of vibrations of simple elastic systems
• Boundary feedback control of a vibrating beam subject to a displacement constraint
• Asymptotic stability and energy decay rates for solutions of hyperbolic equations with boundary damping
• A Maximum Principle for Optimal Boundary Control of Multiply-Connected Vibrating Plates
• Optimal Boundary Control of the Longitudinal Vibrations of a Rod Using a Maximum Principle
• A new approach to the modeling of distributed structures for control
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Boundary optimal control of structural vibrations in an annular plate