Adaptive Error Feedback Regulation Problem for an Euler--Bernoulli Beam Equation with General Unmatched Boundary Harmonic Disturbance

DOI10.1137/18M1172727;zbMath1421.93071MaRDI QIDQ5232209

Hua-Cheng Zhou, Wei Guo

Publication date: 30 August 2019

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://epubs.siam.org/doi/pdf/10.1137/18M1172727

zbMATH Keywords

adaptive controlEuler-Bernoulli beam equationerror feedback regulator problem

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Stability in context of PDEs (35B35) Adaptive control/observation systems (93C40) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10)

Related Items (13)

Robust output regulation of a thermoelastic system ⋮ Boundary PID output regulation for Euler-Bernoulli beam equation ⋮ Robust output regulation for a flexible wing with external disturbances and input saturation ⋮ A simple approach to estimate unmatched disturbances for nonlinear nonautonomous systems ⋮ Adaptive error feedback regulator problem for a 1-D wave equation with velocity recirculation ⋮ Non-collocated tracking for an Euler-Bernoulli beam subject to disturbances with unknown frequencies ⋮ Output Regulation for Euler–Bernoulli Beam with Unknown Exosystem Using Adaptive Internal Model ⋮ Observer-based nonlinear control for a flexible wing with non-collocated and unknown output constraints ⋮ Adaptive LQ Control Using Reduced Hamiltonian for Continuous-Time Systems with Unmatched Input Disturbances ⋮ Backstepping-based adaptive error feedback regulator design for one-dimensional reaction-diffusion equation ⋮ A backstepping approach to adaptive error feedback regulator design for one-dimensional linear parabolic PIDEs ⋮ Robust tracking error feedback control for output regulation of Euler-Bernoulli beam equation ⋮ A dynamic compensator for in-domain control of Burgers' equation

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