FUZZY SLIDING-MODE CONTROL OF FRACTIONAL-ORDER CHAOTIC SYSTEMS SUBJECT TO UNCERTAIN CONTROL COEFFICIENTS AND INPUT SATURATION

Funing Lin, Guangwang Su, Quanbao Ji, Zongqiao Tang and Jun Fu
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Funing Lin: School of Mathematics and Statistics, Shaanxi Normal University, Xi’an 710119, P. R. China2School of Mathematics and Quantitative Economics, Guangxi University of Finance and Economics, Nanning 530003, P. R. China
Guangwang Su: School of Mathematics and Quantitative Economics, Guangxi University of Finance and Economics, Nanning 530003, P. R. China
Quanbao Ji: School of Mathematics and Physics, Guangxi Minzu University, Nanning 530006, P. R. China
Zongqiao Tang: Management School, Hainan University, Haikou 570228, P. R. China
Jun Fu: Guangxi College for Preschool Education, Nanning 530022, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 10, 1-18

Abstract: In this paper, a novel fuzzy sliding-mode backstepping control approach is put forward to tackle the tracking control issue of fractional-order chaotic nonlinear systems subject to uncertain control coefficient and input saturation. First, a kind of sliding surface with nonlinear term of exponential monotonic attenuation is introduced to facilitate the fast error convergence and the chaos effect suppression. Subsequently, fuzzy logic systems and Nussbaum gains are synthesized to cope with the entire uncertainties including unknown control coefficients. Furthermore, dynamic surface technique is utilized to circumvent the occurrence of “complexity explosion†during the overall backstepping control procedure. By means of the proposed control scheme, system state is guaranteed to maintain close to the sliding surface without any reaching phrase, and whereafter the tracking error converges to a sufficiently small residual set containing the origin. Finally, the comparison between the proposed control scheme and an alternative existing chaos control approach is given through numerical simulation, which further confirms the validity of the obtained results and the superiority of the proposed strategy.

Keywords: Fractional-Order Chaotic System; Fuzzy Logic System; Sliding-Mode Control; Uncertain Control Coefficient; Input Saturation (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X2240237X

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