Output regulation problem for a class of regular hyperbolic systems

DOI10.1080/00207179.2015.1060363zbMath1332.93155OpenAlexW2271333310MaRDI QIDQ2792699

Xiaodong Xu, Stevan S. Dubljevic

Publication date: 14 March 2016

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2015.1060363

zbMATH Keywords

Riccati equationSylvester equationerror feedback regulatorstate feedback regulatorregular hyperbolic PDE systemstabilising feedback gainstabilising output injection gain

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) First-order hyperbolic equations (35L02)

Related Items (12)

Finite-time output regulation for linear \(2\times 2\) hyperbolic systems using backstepping ⋮ The state feedback servo-regulator for countercurrent heat-exchanger system modelled by system of hyperbolic PDEs ⋮ Discrete output regulator design for linear distributed parameter systems ⋮ Output and error feedback regulator designs for linear infinite-dimensional systems ⋮ Output regulation for general linear heterodirectional hyperbolic systems with spatially-varying coefficients ⋮ Robust Controllers for Regular Linear Systems with Infinite-Dimensional Exosystems ⋮ Finite-dimensional regulators for a class of regular hyperbolic PDE systems ⋮ Optimal tracking control for a class of boundary controlled linear coupled hyperbolic PDE systems: application to plug flow reactor with temperature output feedback ⋮ 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 ⋮ Observer and filter design for linear transport-reaction systems ⋮ Boundary observer design for a class of semi-linear hyperbolic PDE systems with recycle loop

Cites Work

• Unnamed Item
• Well-posed systems -- the LTI case and beyond
• Output regulation for linear distributed-parameter systems using finite-dimensional dual observers
• LQ control design of a class of hyperbolic PDE systems: application to fixed-bed reactor
• Regulator problem for infinite-dimensional systems
• The internal model principle of control theory
• Perturbation theory for linear operators.
• Boundary optimal (LQ) control of coupled hyperbolic PDEs and ODEs
• Pole assignment in linear time-invariant multivariable systems with constant disturbances
• Output regulation for linear distributed parameter systems
• Disturbance Rejection in the Interior Domain of Linear 2 <inline-formula> <tex-math notation="TeX">$\times$</tex-math></inline-formula> 2 Hyperbolic Systems
• The State Feedback Regulator Problem for Regular Linear Systems
• A Direct Approach to Compensator Design for Distributed Parameter Systems
• Robust Regulation of Distributed Parameter Systems with Infinite-Dimensional Exosystems
• Regulator design for distributed parameter systems with constant disturbances
• Output regulation of nonlinear systems
• Robust multivariable PI-controller for infinite dimensional systems
• The robust control of a servomechanism problem for linear time-invariant multivariable systems
• The Linear Multivariable Regulator Problem
• Transfer Functions of Regular Linear Systems. Part I: Characterizations of Regularity
• Disturbance rejection in 2 x 2 linear hyperbolic systems
• Robust controller design for infinite‐dimensional exosystems
• On the Internal Model Structure for Infinite‐Dimensional Systems: Two Common Controller Types and Repetitive Control
• A feedforward–feedback controller for infinite-dimensional systems and regulation of bounded uniformly continuous signals
• Tracking and Regulation in Linear Multivariable Systems

This page was built for publication: Output regulation problem for a class of regular hyperbolic systems