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An adaptive super-twisting sliding mode algorithm for robust control of a biotechnological process

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Abstract

In this paper, a robust super-twisting sliding mode control with adaptive tuning law is developed for a nonlinear biotechnological process, which takes place inside a continuous stirred tank bioreactor. A super-twisting algorithm (STA) is firstly designed to obtain high robustness as well as preserve fast convergence with high accuracy. The benefit of this approach is that its design procedure is independent of the prior knowledge of the bound value of the uncertainties and perturbations. However, the STA has a drawback that provides a chattering in the control loop. In order to overcome this drawback, an adaptive tuning algorithm is developed to adjust the STA control law without frequency switching and alleviate the undesired chattering phenomenon. Then, the robustness can be achieved despite the existence of the unknown uncertainties and external perturbations for the nonlinear process. In addition, a formal proof of the global uniform asymptotic stability based on Lyapunov criterion of the closed-loop process is derived. Several simulation results show that the proposed adaptive super-twisting algorithm guarantees the performance of the STA under external disturbance and parametric uncertainty with less chattering and illustrate the overall performance improvements.

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Authors and Affiliations

  1. Power Electronics and Industrial Control Laboratory (LEPCI), Faculty of Technology, University of Sétif 1, 19000, Sétif, Algeria

    Semcheddine Bouyahia, Samia Semcheddine & Billel Talbi

  2. Intelligent Systems Laboratory (LSI), Faculty of Technology, University of Sétif 1, 19000, Sétif, Algeria

    Oussama Boutalbi

  3. Growth and Characterization of New Semiconductors Laboratory (LCCNS), Faculty of Technology, University of Sétif 1, 19000, Sétif, Algeria

    Younes Terchi

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  1. Semcheddine Bouyahia
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  2. Samia Semcheddine
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  3. Billel Talbi
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  4. Oussama Boutalbi
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Correspondence to Billel Talbi.

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Bouyahia, S., Semcheddine, S., Talbi, B. et al. An adaptive super-twisting sliding mode algorithm for robust control of a biotechnological process. Int. J. Dynam. Control 8, 581–591 (2020). https://doi.org/10.1007/s40435-019-00551-8

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  • DOI: https://doi.org/10.1007/s40435-019-00551-8

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