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Chapitre d'ouvrage
From Pure State and Input Constraints to Mixed Constraints in Nonlinear Systems
Abstract : We survey the results on the problem of pure/mixed state and input constrained control, with multidimensional constraints, for finite dimensional nonlinear differential systems with focus on the so-called admissible set and its boundary. The admissible set is the set of initial conditions for which there exist a control and an integral curve satisfying the constraints for all time. Its boundary is made of two disjoint parts: the subset of the state constraint boundary on which there are trajectories pointing towards the interior of the admissible set or tangentially to it; and a barrier, namely a semipermeable surface which is constructed via a generalized minimum-like principle with nonsmooth terminal conditions. Comparisons between pure state constraints and mixed ones are presented on a series of simple academic examples.
https://hal-mines-paristech.archives-ouvertes.fr/hal-01528089
Contributeur : François Chaplais <>
Soumis le : samedi 27 mai 2017 - 03:02:50
Dernière modification le : mercredi 14 octobre 2020 - 03:52:33
Contributeur : François Chaplais <>
Soumis le : samedi 27 mai 2017 - 03:02:50
Dernière modification le : mercredi 14 octobre 2020 - 03:52:33