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Elimination of the sliding mode breakdown in forced motion of controlled objects

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Abstract

A method for compensation of external disturbances that cause a breakdown of the sliding mode, intended for stabilization of dynamic objects with time-variable parameters, is proposed. The control consists of two components. The discontinuous part acts in the whole phase space. It must perform the task of fetching and establishing conditions of occurrence and stability of the sliding mode along the sliding plane. The compensating part is formed by the switching function integration while the trajectory moves away from the boundary layer. In free motion, the compensation signal is zero, which allows control energy to be saved.

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Correspondence to G. A. Mamedov.

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Original Russian Text © G.A. Mamedov, G.A. Rustamov, Z.R. Gasanov, 2009, published in Avtomatika i Vychislitel’naya Tekhnika, 2009, No. 2, pp. 28–36.

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Mamedov, G.A., Rustamov, G.A. & Gasanov, Z.R. Elimination of the sliding mode breakdown in forced motion of controlled objects. Aut. Conrol Comp. Sci. 43, 74–79 (2009). https://doi.org/10.3103/S0146411609020035

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  • DOI: https://doi.org/10.3103/S0146411609020035

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