Output and error feedback regulator designs for linear infinite-dimensional systems

DOI10.1016/j.automatica.2017.06.003zbMath1373.93139OpenAlexW2729501232MaRDI QIDQ1679092

Xiaodong Xu, Stevan S. Dubljevic

Publication date: 8 November 2017

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2017.06.003

zbMATH Keywords

exponential stabilityinfinite-dimensional systemsoutput feedback regulatorauxiliary Sylvester equationerror feedback regulator

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Linear systems in control theory (93C05) PDEs in connection with control and optimization (35Q93)

Related Items (22)

Output regulation for a heat equation with unknown exosystem ⋮ Robust output regulation of the linearized Boussinesq equations with boundary control and observation ⋮ Compensating PDE actuator and sensor dynamics using Sylvester equation ⋮ Adaptive error feedback regulator design for 1 D heat equation ⋮ Stability analysis of heat exchangers with delayed boundary feedback ⋮ Output tracking for a 1-D wave equation with velocity recirculation via boundary control ⋮ Robust output regulation for a flexible wing with external disturbances and input saturation ⋮ Robust output regulation of four strings based on coupled exosystem observers ⋮ Adaptive error feedback regulator problem for a 1-D wave equation with velocity recirculation ⋮ Robust output regulation for a flexible wing system with unknown output disturbances and references ⋮ Finite-dimensional regulators for a class of regular hyperbolic PDE systems ⋮ Output tracking for one-dimensional wave equation with non-collocated control and output configuration ⋮ Disturbance estimator and servomechanism based performance output tracking for a 1-d Euler-Bernoulli beam equation ⋮ Repetitive control for nonlinear systems: an actuator-focussed design method ⋮ Boundary output tracking for an Euler-Bernoulli beam equation with unmatched perturbations from a known exosystem ⋮ 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 ⋮ Output regulation boundary control of first-order coupled linear MIMO hyperbolic PIDE systems ⋮ Robust tracking error feedback control for output regulation of Euler-Bernoulli beam equation ⋮ Adaptive Error Feedback Regulation Problem for an Euler--Bernoulli Beam Equation with General Unmatched Boundary Harmonic Disturbance ⋮ Dynamics compensation approach to stabilization and observation for abstract linear systems ⋮ Performance boundary output tracking for a wave equation with control unmatched disturbance

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