On the Stabilizability of the Burgers Equation by Receding Horizon Control

DOI10.1137/15M1030352zbMath1352.49003MaRDI QIDQ2810571

Behzad Azmi, Karl Kunisch

Publication date: 3 June 2016

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

zbMATH Keywords

asymptotic stabilityinfinite-dimensional systemsBurgers equationmodel predictive controlreceding horizon control

Mathematics Subject Classification ID

Optimal feedback synthesis (49N35) Control/observation systems governed by partial differential equations (93C20) KdV equations (Korteweg-de Vries equations) (35Q53) Asymptotic stability in control theory (93D20) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (13)

Approximation properties of receding horizon optimal control ⋮ On the semi-global stabilizability of the Korteweg-de Vries Equationviamodel predictive control ⋮ Stabilization of 3D Navier-Stokes equations to trajectories by finite-dimensional RHC ⋮ Self-triggered MPC with performance guarantee using relaxed dynamic programming ⋮ Receding horizon control for the stabilization of the wave equation ⋮ A framework for randomized time-splitting in linear-quadratic optimal control ⋮ Feedback control for fluid mixing via advection ⋮ On the Turnpike Property and the Receding-Horizon Method for Linear-Quadratic Optimal Control Problems ⋮ Unnamed Item ⋮ The effect of the terminal penalty in Receding Horizon Control for a class of stabilization problems ⋮ Unnamed Item ⋮ Analysis of a quasi-reversibility method for nonlinear parabolic equations with uncertainty data ⋮ A Hybrid Finite-Dimensional RHC for Stabilization of Time-Varying Parabolic Equations

Cites Work

• \(L_2\)-gain and passivity techniques in nonlinear control
• Invertibility of Riccati operators and controllability of related systems
• On global stabilization of Burgers' equation by boundary control.
• A quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability
• Infinite-dimensional dynamical systems in mechanics and physics.
• Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition
• Constrained model predictive control: Stability and optimality
• Unconstrained model predictive control and suboptimality estimates for nonlinear continuous-time systems
• Recent progress in elliptic equations and systems of arbitrary order with rough coefficients in Lipschitz domains
• Receding Horizon Control with Incomplete Observations
• Analysis and Design of Unconstrained Nonlinear MPC Schemes for Finite and Infinite Dimensional Systems
• Two-Point Step Size Gradient Methods
• A Dissipative Feedback Control Synthesis for Systems Arising in Fluid Dynamics
• Root-Locus and Boundary Feedback Design for a Class of Distributed Parameter Systems
• The SQP method for control constrained optimal control of the Burgers equation
• Distributed and boundarycontrol of the viscous burgers' equation
• Receding horizon optimal control for infinite dimensional systems
• Unconstrained receding-horizon control of nonlinear systems
• Reduced Order Controllers for Spatially Distributed Systems via Proper Orthogonal Decomposition
• On the Infinite Horizon Performance of Receding Horizon Controllers
• Model predictive control: for want of a local control Lyapunov function, all is not lost
• On the stability of receding horizon control with a general terminal cost
• Burgers' equation with nonlinear boundary feedback: \(H^1\) stability, well-posedness and simulation
• Adaptive two-point stepsize gradient algorithm
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