Barrier function based model predictive control

DOI10.1016/j.automatica.2004.03.002zbMath1077.93024OpenAlexW1988538197MaRDI QIDQ705163

Adrian G. Wills, William Paul Heath

Publication date: 26 January 2005

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2004.03.002

zbMATH Keywords

predictive controlself-concordant functionsre-centred barrier functions

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Nonlinear systems in control theory (93C10) Design techniques (robust design, computer-aided design, etc.) (93B51)

Related Items (15)

Funnel Model Predictive Control for Nonlinear Systems with Relative Degree One ⋮ A B-spline-based pseudo-inversion approach for constrained optimal output transition ⋮ A stabilizing iteration scheme for model predictive control based on relaxed barrier functions ⋮ Sufficient conditions for forward invariance and contractivity in hybrid inclusions using barrier functions ⋮ Robust satisfaction of nonlinear performance constraints using barrier-based model predictive control ⋮ Safe reinforcement learning: A control barrier function optimization approach ⋮ Off‐policy model‐based end‐to‐end safe reinforcement learning ⋮ Model-based reinforcement learning for approximate optimal control with temporal logic specifications ⋮ Fast model predictive control with soft constraints ⋮ A design technique for fast sampled-data nonlinear model predictive control with convergence and stability results ⋮ A Hamiltonian decomposition for fast interior-point solvers in model predictive control ⋮ Prediction-driven coordination of distributed MPC controllers for linear unconstrained dynamic systems ⋮ Extremum-seeking control of state-constrained nonlinear systems ⋮ Safe exploration in model-based reinforcement learning using control barrier functions ⋮ Adaptive economic optimising model predictive control of uncertain nonlinear systems

Uses Software

• MA57
• LOQO

Cites Work

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• Set invariance in control
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• Constrained model predictive control: Stability and optimality
• La méthode des centres dans un espace topologique
• A Mathematical View of Interior-Point Methods in Convex Optimization
• Linear systems with state and control constraints: the theory and application of maximal output admissible sets
• Robust receding horizon control of constrained nonlinear systems
• Unconstrained receding-horizon control of nonlinear systems

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