Output regulation for coupled linear parabolic PIDEs

DOI10.1016/J.AUTOMATICA.2018.11.033zbMath1415.93129OpenAlexW2904013924WikidataQ128829578 ScholiaQ128829578MaRDI QIDQ1737665

Joachim Deutscher, Simon Kerschbaum

Publication date: 24 April 2019

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2018.11.033

zbMATH Keywords

observerboundary controlbacksteppingoutput regulationparabolic systemsdistributed-parameter systems

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Hyperbolic equations and hyperbolic systems (35L99) Integro-partial differential equations (35R09)

Related Items (14)

Discrete output regulator design for linear distributed parameter systems ⋮ Robust output regulation of a thermoelastic system ⋮ Adaptive error feedback regulator design for 1 D heat equation ⋮ Output regulation for a first-order hyperbolic PIDE with state and sensor delays ⋮ Robust output regulation for a flexible wing system with unknown output disturbances and references ⋮ Boundary stabilization in finite time of one-dimensional linear hyperbolic balance laws with coefficients depending on time and space ⋮ Output tracking for one-dimensional wave equation with non-collocated control and output configuration ⋮ Adaptive output regulation for one-dimensional parabolic equation with nonlocal term ⋮ 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 ⋮ Boundary observers for coupled diffusion-reaction systems with prescribed convergence rate ⋮ Bilateral backstepping control of coupled linear parabolic PDEs with spatially varying coefficients ⋮ Stabilization of Crystallization Models Governed by Hyperbolic Systems ⋮ Performance output tracking for a one-dimensional wave-heat cascade system with unmatched disturbance

Cites Work

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• Boundary control of coupled reaction-diffusion processes with constant parameters
• Disturbance rejection in general heterodirectional 1-D linear hyperbolic systems using collocated sensing and control
• Output regulation for linear distributed-parameter systems using finite-dimensional dual observers
• Backstepping state feedback regulator design for an unstable reaction-diffusion PDE with long time delay
• Sampled-data boundary feedback control of 1-D parabolic PDEs
• Inertia characteristics of self-adjoint matrix polynomials
• Fast projection methods for minimal design problems in linear system theory
• Linear operator theory in engineering and science. Repr. of the 1971 orig., publ. by Holt, Rinehart \& Winston, Inc.
• On the stabilizability problem in Banach space
• Output regulation for general linear heterodirectional hyperbolic systems with spatially-varying coefficients
• Perturbation theory for linear operators.
• Transfer functions for infinite-dimensional systems
• Backstepping Design of Robust Output Feedback Regulators for Boundary Controlled Parabolic PDEs
• The State Feedback Regulator Problem for Regular Linear Systems
• Boundary Control of PDEs
• One-Parameter Semigroups for Linear Evolution Equations
• Backstepping Control of Coupled Linear Parabolic PIDEs With Spatially Varying Coefficients
• Output Feedback Stabilization of Coupled Reaction-Diffusion Processes with Constant Parameters
• Sliding Mode Control of the Orr--Sommerfeld Equation Cascaded by Both the Squire Equation and ODE in the Presence of Boundary Disturbances
• Robust State Feedback Regulator Design for General Linear Heterodirectional Hyperbolic Systems
• The Internal Model Principle for Systems with Unbounded Control and Observation
• Boundary Control of Coupled Reaction-Advection-Diffusion Systems With Spatially-Varying Coefficients

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