Backstepping boundary control of Burgers' equation with actuator dynamics
From MaRDI portal
Publication:1589499
DOI10.1016/S0167-6911(00)00068-2zbMath0980.93032OpenAlexW2171472659WikidataQ59622061 ScholiaQ59622061MaRDI QIDQ1589499
Krstić, Miroslav, Liu, Wei-Jiu
Publication date: 12 December 2000
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0167-6911(00)00068-2
Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) KdV equations (Korteweg-de Vries equations) (35Q53) Flow control and optimization for incompressible viscous fluids (76D55)
Related Items (30)
Internal rapid stabilization of a 1-D linear transport equation with a scalar feedback ⋮ Adaptive stabilization for an uncertain reaction-diffusion equation with dynamic boundary condition at control end ⋮ Exponential stabilization of cascade ODE-linearized KdV system by boundary Dirichlet actuation ⋮ Boundary control of an axially moving accelerated/decelerated belt system ⋮ Rapid stabilization of a linearized bilinear 1-D Schrödinger equation ⋮ Boundary output feedback of second-order distributed parameter systems ⋮ Global Stabilization of Compressible Flow between Two Moving Pistons ⋮ Backstepping approach to the adaptive regulator design for a one-dimensional wave equation with general input harmonic disturbance ⋮ Null controllability and finite time stabilization for the heat equations with variable coefficients in space in one dimension via backstepping approach ⋮ Constrained control of 1-D parabolic PDEs using sampled in space sensing and actuation ⋮ Adaptive constrained tracking control for dynamical actuator driven linear \(2 \times 2\) hyperbolic PDE systems with nonlinear uncertainties ⋮ Small-time local stabilization for a Korteweg-de Vries equation ⋮ Delay-compensated control of sandwiched ODE-PDE-ODE hyperbolic systems for oil drilling and disaster relief ⋮ The stability and stabilization of heat equation in non-cylindrical domain ⋮ Boundary stabilization in finite time of one-dimensional linear hyperbolic balance laws with coefficients depending on time and space ⋮ Absolute stability of the Kirchhoff string with sector boundary control ⋮ Local rapid stabilization for a Korteweg-de Vries equation with a Neumann boundary control on the right ⋮ Exponential stabilization of the stochastic Burgers equation by boundary proportional feedback ⋮ Nonlinear bilateral output-feedback control for a class of viscous Hamilton-Jacobi PDEs ⋮ Low dimensional modelling and Dirichlét boundary controller design for Burgers equation ⋮ Asymptotic behavior of Boussinesq system of KdV-KdV type ⋮ Adaptive stabilization for a reaction-diffusion equation with uncertain nonlinear actuator dynamics ⋮ Backstepping approach to the arbitrary decay rate for Euler–Bernoulli beam under boundary feedback ⋮ Infinite dimensional backstepping-style feedback transformations for a heat equation with an arbitrary level of instability ⋮ A numerical approach to an optimal boundary control of the viscous Burgers' equation ⋮ Boundary Stabilizability of the Linearized Compressible Navier--Stokes System in One Dimension by Backstepping Approach ⋮ Global Stabilization of a Class of Nonlinear Reaction-Diffusion Partial Differential Equations by Boundary Feedback ⋮ A weak maximum principle-based approach for input-to-state stability analysis of nonlinear parabolic PDEs with boundary disturbances ⋮ Finite-time internal stabilization of a linear 1-D transport equation ⋮ A dynamic compensator for in-domain control of Burgers' equation
Cites Work
- Adaptive nonlinear control without overparametrization
- Viscous scalar conservation law with nonlinear flux feedback and global attractors
- On global stabilization of Burgers' equation by boundary control.
- Adaptive control of Burgers' equation with unknown viscosity
- Feedback control for unsteady flow and its application to the stochastic Burgers equation
- A Dissipative Feedback Control Synthesis for Systems Arising in Fluid Dynamics
- Distributed and boundarycontrol of the viscous burgers' equation
- Stabilization of Elastic Plates with Dynamical Boundary Control
- Stabilization of a rotating body beam without damping
- Burgers' equation with nonlinear boundary feedback: \(H^1\) stability, well-posedness and simulation
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Backstepping boundary control of Burgers' equation with actuator dynamics