Riesz Basis Approach to the Tracking Control of a Flexible Beam with a Tip Rigid Body without Dissipativity

DOI10.1080/1055678021000007288zbMath1056.74044OpenAlexW2159382757MaRDI QIDQ4709750

Bao-Zhu Guo

Publication date: 31 August 2003

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1055678021000007288

zbMATH Keywords

exponential stabilitylinear feedback controlspectrum-determined growth condition

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control, switches and devices (``smart materials) in solid mechanics (74M05) Feedback control (93B52)

Related Items

Exponential stability of a rotating Timoshenko beam under thermo-viscoelastic damping ⋮ General decay for a viscoelastic rotating Euler-Bernoulli beam ⋮ Boundary feedback stabilization of a flexible wing model under unsteady aerodynamic loads ⋮ On the \(C_{0}\)-semigroup generation and exponential stability resulting from a shear force feedback on a rotating beam ⋮ On harmonic disturbance rejection of an undamped Euler-Bernoulli beam with rigid tip body

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Exact boundary controllability of a hybrid system of elasticity
• Controllability and stability of a second-order hyperbolic system with collocated sensor/actuator
• Tracking control of a flexible beam by nonlinear boundary feedback
• Some trigonometrical inequalities with applications to the theory of series
• Riesz Basis Approach to the Stabilization of a Flexible Beam with a Tip Mass
• The Riesz basis property of discrete operators and application to a Euler-Bernoulli beam equation with boundary linear feedback control
• Shear force feedback control of a single-link flexible robot with a revolute joint
• Orientation and stabilization of a flexible beam attached to a rigid body: planar motion
• Modeling and control of coupled bending and torsional vibrations of flexible beams
• Control and stabilization of a flexible beam attached to a rigid body
• Analysis, Designs, and Behavior of Dissipative Joints for Coupled Beams
• On the Stabilization of a Flexible Beam with a Tip Mass
• Decay estimates of solutions for a hybrid system of flexible structures
• Direct strain feedback control of flexible robot arms: new theoretical and experimental results
• A General Necessary Condition for Exact Observability
• Uniform Stabilization of a Hybrid System of Elasticity
• Complex Analysis
• Unnamed Item
• Unnamed Item