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Communication dans un congrès

A global optimization approach for non-linear sliding mode control analysis and design

Dominique Monnet 1 Juan Luis Rosendo 2 Hernán de Battista 2 Benoît Clément 1 Jordan Ninin 1 Fabricio Garelli 2
1 Lab-STICC_ENSTAB_CID_PRASYS
Lab-STICC - Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance
Abstract : The design of sliding mode (SM) comprises the selection of a sliding manifold on the state space and a switching logic. The sliding manifold design is associated with the desired dynamics and closed loop specifications, whereas the switching logic is designed to drive and keep the state on the prescribe manifold. The classical design can lead to over or underestimation of the sliding domain, the closed loop robustness and the necessary control power. Here the design of SM is addressed from the global optimization approach using interval arithmetic. A solution to the analysis and synthesis problems of SM design is provided, where the necessary and sufficient conditions are fulfilled in a guaranteed way. For the analysis problem the proposed methodology allows checking sliding mode behaviour over given state domain and parameter sets. For the synthesis problem, the methodology allows designing the sliding manifold and switching logic with a given optimization criterion. The methodology is illustrated with a concluding example.
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Communication dans un congrès
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Soumis le : mardi 4 septembre 2018 - 09:49:31
Dernière modification le : mercredi 24 juin 2020 - 16:19:52

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  • HAL Id : hal-01867170, version 1

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Dominique Monnet, Juan Luis Rosendo, Hernán de Battista, Benoît Clément, Jordan Ninin, et al.. A global optimization approach for non-linear sliding mode control analysis and design. 9th IFAC Symposium on Robust Control Design (ROCOND'18), Sep 2018, Florianopolis, Brazil. ⟨hal-01867170⟩

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