Adaptive backstepping fractional-order nonsingular terminal sliding mode control of the continuous polymerization reactor

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.