Approximation of Model Predictive Control Laws for Polynomial Systems

DOI10.1002/asjc.863zbMath1305.93070OpenAlexW1922004067MaRDI QIDQ5172925

Massimo Canale, Dario Piga, Diego Regruto, Vito Cerone

Publication date: 6 February 2015

Published in: Asian Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/asjc.863

zbMATH Keywords

model predictive controlpolynomial optimizationLMI relaxation

Mathematics Subject Classification ID

Uses Software

• SeDuMi
• GloptiPoly

Cites Work

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• Explicit Approximate Model Predictive Control of Constrained Nonlinear Systems with Quantized Input
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• Analysis of Non-polynomial Systems Using the Sum of Squares Decomposition
• Nonlinear Systems Analysis
• A Nonlinear Sum-of-Squares Model Predictive Control Approach
• Efficient Model Predictive Control for Nonlinear Systems via Function Approximation Techniques
• Nonlinear Model Predictive Control and Sum of Squares Techniques
• A Set-Theoretic Method for Verifying Feasibility of a Fast Explicit Nonlinear Model Predictive Controller
• Approximate explicit constrained linear model predictive control via orthogonal search tree
• Solving quadratic distance problems: an LMI-based approach
• A Multiresolution Approximation Method for Fast Explicit Model Predictive Control
• Computational Complexity Certification for Real-Time MPC With Input Constraints Based on the Fast Gradient Method
• An online active set strategy to overcome the limitations of explicit MPC
• GloptiPoly
• The explicit linear quadratic regulator for constrained systems

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