Backstepping observers for linear PDEs on higher-dimensional spatial domains

DOI10.1016/j.automatica.2014.10.108zbMath1309.93031OpenAlexW2064941489MaRDI QIDQ2342515

Thomas Meurer, Lukas Jadachowski, Andreas Kugi

Publication date: 28 April 2015

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2014.10.108

zbMATH Keywords

backsteppingobserver designparabolic PDEshigher-dimensional spatial domain

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Observability (93B07)

Related Items (14)

Boundary observer design for hyperbolic PDE-ODE cascade systems ⋮ Backstepping observer-based output feedback control for a class of coupled parabolic PDEs with different diffusions ⋮ Boundary control of reaction-diffusion equations on higher-dimensional symmetric domains ⋮ Oblique projection output-based feedback exponential stabilization of nonautonomous parabolic equations ⋮ Boundary control of a coupled Burgers' PDE‐ODE system ⋮ Output Feedback Stabilization of Coupled Reaction-Diffusion Processes with Constant Parameters ⋮ Dissipativity-based controller design for time-delayed T-S fuzzy switched distributed parameter systems ⋮ Estimation and global stability analysis of PDAEs with singular time derivative matrix and wetland conservation application ⋮ Two side observer design for singular distributed parameter systems ⋮ Boundary control of coupled reaction-diffusion processes with constant parameters ⋮ Observer-based finite-time output feedback control of heat equation with Neumann boundary condition ⋮ Boundary control and estimation of reaction–diffusion equations on the sphere under revolution symmetry conditions ⋮ Anticollocated backstepping observer design for a class of coupled reaction-diffusion PDEs ⋮ Dissipative observers for coupled diffusion-convection-reaction systems

Cites Work

• Unnamed Item
• Unnamed Item
• Magnetohydrodynamic state estimation with boundary sensors
• Tracking control for boundary controlled parabolic PDEs with varying parameters: combining backstepping and differential flatness
• The solution of initial-boundary value problems for parabolic equations by the method of integral operators
• Optimal actuator/sensor location for active noise regulator and tracking control problems
• Backstepping observers for a class of parabolic PDEs
• Boundary Control of PDEs
• Boundary Feedback Stabilization of an Unstable Heat Equation
• Hopf-Cole transformation to some systems of partial differential equations

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