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Journal of Automation and Information Sciences

Publication de 12  numéros par an

ISSN Imprimer: 1064-2315

ISSN En ligne: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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On Extremal Step-by-Step Realization of Sliding Modes

Volume 36, Numéro 7, 2004, pp. 17-30
DOI: 10.1615/JAutomatInfScien.v36.i7.30
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RÉSUMÉ

For a controllable differential system uniform approximation of sliding modes was considered by means of trajectories generated by piecewice-constant controls. The conditions of solution uniqueness associated with each control were not imposed. Two discrete rules of extremal shift were investigated. It was shown that 1) by a discrete version of Kryazhimskii method one can approximate some trajectories of the bundle generated by the given generalized control; 2) there exist generalized trajectories which are not approximated by admissible trajectories; 3) if the controllable system satisfies the conditions of Kanke general uniqueness theorem, then any arbitrary sliding mode is approximated by Krasovskiy extremal shift rule.

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