Initial-boundary value problem and exponential decay for a flexible-beam vibration with gain adaptive direct strain feedback control

DOI10.1016/0362-546X(95)00064-3zbMath0854.93073OpenAlexW2112307739MaRDI QIDQ4883603

Bao-Zhu Guo, Zheng-Hua Luo

Publication date: 22 January 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(95)00064-3

zbMATH Keywords

existenceinitial-boundary value problemuniquenessnonlinearcontrol problemtime-dependentgain adaptationadaptive boundaryflexible-beam vibration

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Adaptive control/observation systems (93C40)

Related Items (11)

Asymptotic behavior of Timoshenko beam with dissipative boundary feedback ⋮ Adaptive stabilization of a Kirchhoff's nonlinear beam with output disturbances ⋮ Parameter estimation and stabilization for a wave equation with boundary output harmonic disturbance and non-collocated control ⋮ Adaptive stabilization for a Kirchhoff-type nonlinear beam under boundary output feedback control ⋮ Parameter estimation and stabilization for one-dimensional Schrödinger equation with boundary output constant disturbance and non-collocated control ⋮ Adaptive stabilization of a Kirchhoff moving string ⋮ On global adaptive stabilization of a Kirchhoff moving string with variable density ⋮ Stabilization of nonuniform Euler-Bernoulli beam with locally distributed feedbacks ⋮ Parameter estimation and stabilisation for a one-dimensional wave equation with boundary output constant disturbance and non-collocated control ⋮ High-gain adaptive regulator for a string equation with uncertain harmonic disturbance under boundary output feedback control ⋮ Stabilization and parameter estimation for an Euler-Bernoulli beam equation with uncertain harmonic disturbance under boundary output feedback control

Cites Work

• Unnamed Item
• Asymptotic behavior of nonlinear contraction semigroups
• Orientation and stabilization of a flexible beam attached to a rigid body: planar motion
• Modeling, Stabilization and Control of Serially Connected Beams
• Direct strain feedback control of flexible robot arms: new theoretical and experimental results
• Asymptotic behaviour of the spectrum of a direct feedback control system

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