Backstepping observer-based output feedback control for a class of coupled parabolic PDEs with different diffusions

DOI10.1016/J.SYSCONLE.2016.09.004zbMath1350.93041OpenAlexW2527890750MaRDI QIDQ344994

Bai-Nan Liu, Driss Boutat, Da-Yan Liu

Publication date: 25 November 2016

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2016.09.004

zbMATH Keywords

Lyapunov functionbackstepping controlbackstepping observercoupled parabolic partial differential equationsobserver-based output feedback control

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Observability (93B07) Parabolic equations and parabolic systems (35K99) Stability of control systems (93D99)

Related Items (7)

Adaptive stabilisation via passive identifier for an ODE system cascaded by coupled parabolic equations with serious uncertainties ⋮ Local stabilization of coupled nonlinear parabolic equations by boundary control ⋮ Observer design for multivariable transport-reaction systems based on spatially distributed measurements ⋮ State and observer-based feedback control of normal flow equations ⋮ Spatiotemporal sampled-data fuzzy control for switched singularly perturbed PDE systems with average dwell-time switching mechanism ⋮ Sliding mode boundary control for exponential stabilization of linear parabolic distributed parameter systems subject to external disturbance ⋮ Mittag-Leffler convergent backstepping observers for coupled semilinear subdiffusion systems with spatially varying parameters

Cites Work

• Boundary observer design for hyperbolic PDE-ODE cascade systems
• State and output feedback boundary control for a coupled PDE-ODE system
• Boundary control of coupled reaction-diffusion processes with constant parameters
• PDE backstepping control of one-dimensional heat equation with time-varying domain
• Stabilization for a coupled PDE-ODE control system
• Tracking control for boundary controlled parabolic PDEs with varying parameters: combining backstepping and differential flatness
• Backstepping observers for linear PDEs on higher-dimensional spatial domains
• Backstepping observer design for parabolic PDEs with measurement of weighted spatial averages
• Control of coupled partial differential equations. Selected papers originating from the conference on optimal control of coupled systems of partial differential equations, Oberwolfach, Germany, April 17--23, 2005
• Backstepping observers for a class of parabolic PDEs
• On control design for PDEs with space-dependent diffusivity or time-dependent reactivity
• Boundary Control of PDEs
• Nonlinear Eigenvalue Problems in the Stability Analysis of Morphogen Gradients
• Color image enhancement via chromaticity diffusion
• Boundary Feedback Stabilization of an Unstable Heat Equation
• Boundary control of an unstable heat equation via measurement of domain-averaged temperature
• Boundary stabilization of a coupled wave-ODE system with internal anti-damping
• Trajectory Planning for Boundary Controlled Parabolic PDEs With Varying Parameters on Higher-Dimensional Spatial Domains
• Discontinuous feedback stabilization of minimum-phase semilinear infinite-dimensional systems with application to chemical tubular reactor
• Closed-Form Boundary State Feedbacks for a Class of 1-D Partial Integro-Differential Equations
• Stabilization of a System of <formula formulatype="inline"> <tex Notation="TeX">$n+1$</tex></formula> Coupled First-Order Hyperbolic Linear PDEs With a Single Boundary Input
• Anticollocated backstepping observer design for a class of coupled reaction-diffusion PDEs

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