On the Accuracy of the Model Predictive Control Method

DOI10.1137/21M1460430zbMath1498.93207MaRDI QIDQ5097393

Alberto Domínguez Corella, Georgi Angelov, Vladimir M. Veliov

Publication date: 23 August 2022

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

zbMATH Keywords

optimal controlmodel predictive controlmetric subregularityLagrange problem

Mathematics Subject Classification ID

Feedback control (93B52) Model predictive control (93B45)

Related Items

On the strong subregularity of the optimality mapping in an optimal control problem with pointwise inequality control constraints

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear model predictive control. Theory and algorithms.
• Nonsmooth equations in optimization. Regularity, calculus, methods and applications
• Robust model predictive control using tubes.
• Euler discretization for a class of nonlinear optimal control problems with control appearing linearly
• Regularity and conditioning of solution mappings in variational analysis
• Hölder regularity in bang-bang type affine optimal control problems
• Approximating optimal finite horizon feedback by model predictive control
• On the existence of Lipschitz continuous optimal feedback control
• Strong metric subregularity of mappings in variational analysis and optimization
• Metric Regularity of Newton's Iteration
• On Stability of Bang-Bang Type Controls
• Second-Order Runge--Kutta Approximations in Control Constrained Optimal Control
• High Order Discrete Approximations to Mayer's Problems for Linear Systems
• Lipschitzian Stability in Nonlinear Control and Optimization
• An a Priori Estimate for Discrete Approximations in Nonlinear Optimal Control
• Metric sub-regularity in optimal control of affine problems with free end state
• Nominally Robust Model Predictive Control With State Constraints
• Implicit Functions and Solution Mappings