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oai:drops-oai.dagstuhl.de:5612 2024-03-06T10:29:43Z ddc:004 open_access

Tuning PI controller in non-linear uncertain closed-loop systems with interval analysis Alexandre dit Sandretto, Julien Chapoutot, Alexandre Mullier, Olivier PID Tuning Guaranteed numerical integration non-linear ordinary differential equations The tuning of a PI controller is usually done through simulation, except for few classes of problems, e.g., linear systems. With a new approach for validated integration allowing us to simulate dynamical systems with uncertain parameters, we are able to design guaranteed PI controllers. In practical, we propose a new method to identify the parameters of a PI controller for non-linear plants with bounded uncertain parameters using tools from interval analysis and validated simulation. This work relies on interval computation and guaranteed numerical integration of ordinary differential equations based on Runge-Kutta methods. Our method is applied to the well-known cruise-control problem, under a simplified linear version and with the aerodynamic force taken into account leading to a non-linear formulation. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Julien Alexandre dit Sandretto and Alexandre Chapoutot and Olivier Mullier 2015 Is Part Of OASIcs, Volume 44, 2nd International Workshop on Synthesis of Complex Parameters (SynCoP'15) (2015) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/OASIcs.SynCoP.2015.91 urn:nbn:de:0030-drops-56125 https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.SynCoP.2015.91 eng https://creativecommons.org/licenses/by/3.0/legalcode