Infinite-dimensional control of nonlinear beam vibrations by piezoelectric actuator and sensor layers

DOI10.1023/A:1008393904114zbMath0948.74037MaRDI QIDQ1806832

Andreas Kugi, Hans Irschik, Kurt Schlacher

Publication date: 19 November 2000

Published in: Nonlinear Dynamics (Search for Journal in Brave)

zbMATH Keywords

Lyapunov stabilityactive vibration controlHamilton-Jacobi-Isaacs equationdisturbance compensationHamilton formalism\(H(\infty)\)-design\(PD\)-controllerdistributed piezoelectric actuatorinfinite-dimensional approachmultilayered straight composite piezoelectric beamsensor layers

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control, switches and devices (``smart materials) in solid mechanics (74M05) Vibrations in dynamical problems in solid mechanics (74H45) Electromagnetic effects in solid mechanics (74F15)

Related Items (4)

Advances in the linear/nonlinear control of aeroelastic structural systems ⋮ Control of Propagating Waves in Rods by Piezoelectric Actuators and Sensors ⋮ Boundary feedback stabilization of a novel bilinear and extensible piezoelectric beam model ⋮ Distributed disturbance estimator and application to stabilization for multi-dimensional wave equation with corrupted boundary observation

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