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

Danladi King Garba 1, Shuaibu Ochetengu Yakubu 1, Mukhtar Ibrahim Bello 2 and Muhammad Baballe Ahmad 3, *

1 Department of Mechanical Engineering, Nigerian Defence Academy, (NDA),Kaduna, Nigeria.
2 Department of Computer Science, Kano State Polytechnic, Nigeria.
3 Department of Mechatronics Engineering (NDA), Kaduna, Nigeria.
 
Global Journal of Research in Engineering and Technology, 2022, 01(01), 032–045.
Article DOI: 10.58175/gjret.2022.1.1.0014
Publication history: 
Received on 27 August 2022; revised on 03 October 2022; accepted on 06 October 2022
 
Abstract: 
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.
 
Keywords: 
Adaptive Control; Polymerization reactor; Fractional-order; Nonsingular Fast terminal sliding mode control
 
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