Duality-based optimal compensator for boundary control hyperbolic PDEs system: application to a tubular cracking reactor

DOI10.1016/J.JFRANKLIN.2020.07.033zbMath1448.93139OpenAlexW3047875568WikidataQ114160051 ScholiaQ114160051MaRDI QIDQ2005388

Ilyasse Aksikas

Publication date: 7 October 2020

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2020.07.033

zbMATH Keywords

hyperbolic partial differential equationsboundary control distributed parameter systemfinite-dimensional boundary optimal controlleroptimal output feedback boundary control

Mathematics Subject Classification ID

Optimal feedback synthesis (49N35) Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Duality theory (optimization) (49N15)

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Cites Work

• Unnamed Item
• Nonlinear and robust control of PDE systems. Methods and applications to transport-reaction processes
• Representation and control of infinite dimensional systems
• Observer design for a class of nonlinear ODE-PDE cascade systems
• LQ control design of a class of hyperbolic PDE systems: application to fixed-bed reactor
• On asymptotic stability of semi-linear distributed parameter dissipative systems
• Stability and stabilization of infinite dimensional systems with applications
• Observers for infinite dimensional bilinear systems
• Matrix Riccati equations in control and systems theory
• Distributed sliding mode control in systems described by quasilinear partial differential equations
• An observer for infinite-dimensional dissipative bilinear systems
• Backstepping observers for a class of parabolic PDEs
• Finite-dimensional dual state feedback control of linear boundary control systems
• Quadratic Control for Linear Time-Varying Systems
• Optimal linear–quadratic control of coupled parabolic–hyperbolic PDEs
• Boundary Control of PDEs
• Single-step full-state feedback control design for nonlinear hyperbolic PDEs
• Optimal LQ-Feedback Regulation of a Nonisothermal Plug Flow Reactor Model by Spectral Factorization
• LQ-boundary control of a diffusion-convection-reaction system
• Sharp regularity theory for elastic and thermoelastic Kirchhoff equations with free boundary conditions

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