# Magnetohydrodynamic state estimation with boundary sensors

@article{Vzquez2008MagnetohydrodynamicSE, title={Magnetohydrodynamic state estimation with boundary sensors}, author={Rafael V{\'a}zquez and Eugenio Schuster and Miroslav Krsti{\'c}}, journal={Autom.}, year={2008}, volume={44}, pages={2517-2527} }

## 32 Citations

A Closed-Form Full-State Feedback Controller for Stabilization of 3D Magnetohydrodynamic Channel Flow

- Mathematics
- 2009

We present a boundary feedback law that stabilizes the velocity, pressure, and electromagnetic fields in a magnetohydrodynamic (MHD) channel flow. The MHD channel flow, also known as Hartmann flow,…

Infinite-dimensional backstepping and applications to flows in electromagnetic fields

- Mathematics2008 16th Mediterranean Conference on Control and Automation
- 2008

Numerous physical processes are modeled by partial differential equations and are often instrumented with boundary actuators and sensors. A major new effort has been underway in recent years to…

Boundary Observer for Output-Feedback Stabilization of Thermal-Fluid Convection Loop

- EngineeringIEEE Transactions on Control Systems Technology
- 2010

A 2-D model of thermal fluid convection that exhibits the prototypical Rayleigh-Bernard convective instability is considered, and a highly accurate approximation to the control kernels and observer output injection gains is found in closed form.

Backstepping observers for linear PDEs on higher-dimensional spatial domains

- MathematicsAutom.
- 2015

Detectability and global observer design for Navier-Stokes equations with unknown inputs

- Mathematics
- 2021

We present easy-to-verify detectability conditions for Navier-Stokes Equation (NSE) in two spatial dimensions with periodic boundary conditions, and describe a generic class of “detectable”…

Boundary control and observation of coupled parabolic PDEs

- Mathematics
- 2016

Reaction-diffusion equations are parabolic Partial Differential Equations (PDEs) which
often occur in practice, e.g., to model the concentration of one or more substances, distributed
in space,…

Attenuation of Vortex Shedding by Model-Based Output Feedback Control

- EngineeringIEEE Transactions on Control Systems Technology
- 2013

We demonstrate for the first time the effectiveness of output feedback controllers previously designed for the Ginzburg-Landau model in attenuating vortex shedding in an actual flow past a 2-D…

BacksteppingObserversforlinearPDEs onHigher-DimensionalSpatialDomains

- Mathematics
- 2015

The extension of the backstepping-based state observer design is considered for systems governed by parabolic PDEs defined on a higher-dimensional cuboidal spatial domain with the measured output…

Backstepping for Linear Diffusion–Convection–Reaction Systems with Varying Parameters on Parallelepiped Domains

- Mathematics
- 2013

The backstepping approach presented in the previous chapter for boundary controlled distributed–parameter systems defined on a 1–dimensional domain with a single control and output located at the…

## References

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A nonlinear Lyapunov-based boundary control law is proposed for mixing enhancement in a magnetohydrodynamic (MHD) channel flow, also known as Hartmann flow. This flow is characterized by an…

A Closed-Form Observer for the Channel Flow Navier-Stokes System

- EngineeringProceedings of the 44th IEEE Conference on Decision and Control
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The observer design for non-discretized Navier-Stokes partial differential equations has so far been an open problem. We present a nonlinear PDE observer that estimates the velocity and pressure…

State estimation in wall-bounded flow systems. Part 1. Perturbed laminar flows

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In applications involving the model-based control of transitional wall-bounded flow systems, it is often desired to estimate the interior flow state based on a history of noisy measurements from an…

Electromagnetic Flow Control : Characteristic Numbers and Flow Regimes of a Wall-Normal Actuator

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Electromagnetic (EM) flow control of boundary layers refers to the use of 'wall-flush' electrodes (j, current density) and 'sub-surface' magnets (B, magnetic induction) used in combination to create…

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Effects of the Lorentz force on near-wall turbulence structures are investigated using the direct numerical simulation technique with the assumption of no induced magnetic field at low magnetic…

Drag reduction in transitional linearized channel flow using distributed control

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This work focuses on feedback control of incompressible transitional Newtonian channel flow described by the twodimensional linearized Navier-Stokes equations. The control objective is to use…

State estimation in wall-bounded flow systems. Part 2. Turbulent flows

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- 2006

This work extends the estimator developed in Part 1 of this study to the problem of estimating a turbulent channel flow at $Re_{\tau}\,{=}\,100$ based on a history of noisy measurements on the wall.…

Linear feedback control and estimation of transition in plane channel flow

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- 2003

Modern linear control theory has recently been established as a viable tool for developing effective, spatially localized convolution kernels for the feedback control and estimation of linearized…

Turbulent boundary layer control utilizing the Lorentz force

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Direct numerical simulations (DNS) of a turbulent channel flow at low Reynolds number (Reτ=100,200,400, where Reτ is the Reynolds number based on the wall-shear velocity and channel half-width) are…

Nonlinear Control of Incompressible Fluid Flow: Application to Burgers' Equation and 2D Channel Flow☆

- Mathematics
- 2000

Abstract This paper proposes a methodology for the synthesis of nonlinear finite-dimensional feedback controllers for incompressible Newtonian fluid flows described by two-dimensional Navier–Stokes…