Feedback controller stabilizing vibrations of a flexible cable related to an overhead crane

DOI10.1155/2010/984927zbMath1202.93112OpenAlexW2021169416WikidataQ58653462 ScholiaQ58653462MaRDI QIDQ613871

Abdelhadi Elharfi

Publication date: 23 December 2010

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/226349

zbMATH Keywords

cable vibrationsfeedback controller stabilizinghyperbolic partial differential equation (HPDE)

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Application models in control theory (93C95) Vibrations in dynamical problems in solid mechanics (74H45) PDEs in connection with control and optimization (35Q93)

Related Items (1)

New nonlinear controller for a class of chaotic systems based on adaptive backstepping fuzzy-immune control

Cites Work

• Explicit construction of a boundary feedback law to stabilize a class of parabolic equations.
• Stabilization of a flexible cable with two rigid loads
• Stabilization of generic trees of strings
• Exponential stabilization of an overhead crane with flexible cable via a back-stepping approach
• Classical Vibration Analysis of Axially Moving Continua
• Boundary stabilization of hyperbolic systems related to overhead cranes
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• One-Parameter Semigroups for Linear Evolution Equations
• Boundary Feedback Stabilization of an Unstable Heat Equation
• Closed-Form Boundary State Feedbacks for a Class of 1-D Partial Integro-Differential Equations
• Robust boundary control of an axially moving string by using a PR transfer function

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