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Journal of Mathematical Techniques and Computational Mathematics(JMTCM)

ISSN: 2834-7706 | DOI: 10.33140/JMTCM

Impact Factor: 1.3

Adaptive Backstepping Fractional-Order Nonsingular Terminal Sliding Mode Control of the Continuous Polymerization Reactor

Abstract

Danladi King Garba, Shuaibu Ochetengu Yakubu, Mukhtar Ibrahim Bello and Muhammad Baballe Ahmad

This paper proposes an adaptive backstepping fractional order nonsingular fast terminal sliding mode control (AB-FNTSMC) for a polymerization reactor subjected to model uncertainties and environmental disturbances. This controller ensures robust performance in both reaching and sliding mode phases. A fast terminal reaching law is employed to remove the chattering phenomena. An adaptation rules are used to update the upper bounds of the disturbances whose information are not required. A numerical simulation is deployed to evidence the superior performance of the AB-FNTSMC.

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