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Positional impulse and discontinuous control for differential inclusion

Авторы: Finogenko I.A., Sesekin A.N.

Журнал: Ural Mathematical Journal

Том: 6

Номер: 2

Год: 2020

Отчётный год: 2020

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Аннотация: Nonlinear control systems presented in the form of differential inclusions with impulse or dis-continuous positional controls are investigated. The formalization of the impulse-sliding regime is carried out.In terms of the jump function of the impulse control, the differential inclusion is written for the ideal impulse-sliding regime. The method of equivalent control for differential inclusion with discontinuous positional controlsis used to solve the question of the existence of a discontinuous system for which the ideal impulse-sliding regimeis the usual sliding regime. The possibility of the combineduse of the impulse-sliding and sliding regimes ascontrol actions in those situations when there are not enough control resources for the latter is discussed.

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