MPC for continuous piecewise-affine systems

DOI10.1016/j.sysconle.2003.11.010zbMath1157.93439OpenAlexW1999856942MaRDI QIDQ2503617

Ton J. J. van den Boom, Bart De Schutter

Publication date: 21 September 2006

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2003.11.010

zbMATH Keywords

Hybrid systemsModel predictive controlPiecewise-affine systemsMax--min-plus-scaling systems

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Canonical structure (93B10) Discrete event control/observation systems (93C65)

Related Items (10)

A model predictive approach to dynamic control law design in discrete-time uncertain systems ⋮ Irredundant lattice representations of continuous piecewise affine functions ⋮ On optimization of stochastic max-min-plus-scaling systems -- an approximation approach ⋮ Sampling‐based 3‐D line‐of‐sight PWA model predictive control for autonomous rendezvous and docking with a tumbling target ⋮ Model predictive scheduling of semi-cyclic discrete-event systems using switching max-plus linear models and dynamic graphs ⋮ Model predictive control for uncertain max–min-plus-scaling systems ⋮ Modeling and control of switching max-plus-linear systems with random and deterministic switching ⋮ Max-plus-linear model-based predictive control for constrained hybrid systems: linear programming solution ⋮ MPC for continuous piecewise-affine systems ⋮ An algorithm for solving two-sided interval system of max-plus linear equations

Uses Software

• MIQP
• Optimization Toolbox
• QDES

Cites Work

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• Controllability of piecewise linear systems
• An algebra for piecewise-linear minimax problems
• Model predictive control: Theory and practice - a survey
• Control of systems integrating logic, dynamics, and constraints
• Finding all essential terms of a characteristic maxpolynomial.
• Max-min representation of piecewise linear functions
• Piecewise linear control systems. A computational approach
• Analysis of discrete-time piecewise affine and hybrid systems
• MPC for continuous piecewise-affine systems
• Observability and controllability of piecewise affine and hybrid systems
• Canonical piecewise-linear representation
• Nonlinear regulation: The piecewise linear approach
• A comparison of piecewise-linear model descriptions
• Canonical piecewise-linear analysis
• Piecewise affine functions and polyhedral sets^∗
• Model predictive control for max-plus-linear discrete event systems
• Equivalence of hybrid dynamical models

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