Adaptive stabilization of a Kirchhoff's nonlinear beam with output disturbances

DOI10.1016/j.na.2009.03.056zbMath1169.93023OpenAlexW2061396042MaRDI QIDQ838092

Masahiro Oya, Toshihiro Kobayashi, Natsuki Takagi

Publication date: 21 August 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.03.056

zbMATH Keywords

boundary controladaptive stabilizationdisturbed outputsKirchhoff's nonlinear beamnonlinear observability

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Nonlinear systems in control theory (93C10) Adaptive or robust stabilization (93D21) Control of mechanical systems (70Q05) Initial-boundary value problems for higher-order hyperbolic equations (35L35)

Related Items

Absolute boundary stabilization for an axially moving Kirchhoff beam ⋮ Anti-disturbance control for a nonlinear flexible beam with velocity disturbance at the boundary ⋮ Adaptive stabilization of a Timoshenko system by boundary feedback controls ⋮ High‐gain stabilization for an axially moving beam under boundary feedback control ⋮ Robust output regulation for a flexible wing system with unknown output disturbances and references ⋮ Long-time behavior of a model of extensible beams with nonlinear boundary dissipations ⋮ Exponential stability of axially moving Kirchhoff-beam systems with nonlinear boundary damping and disturbance

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