A developed observer-based type-2 fuzzy control for chaotic systems

Mohammad Hosein Sabzalian, Ardashir Mohammadzadeh, Sakthivel Rathinasamy and Weidong Zhang

International Journal of Systems Science, 2023, vol. 54, issue 15, 2921-2940

Abstract: This study presents a novel observer-based fuzzy control for chaotic systems (CSs). A class of CSs with unmeasurable states, unknown input constraints and unknown dynamics is taken to account. A generalised type-2 (GT2) fuzzy logic system (FLS) is formulated to approximate the uncertainties. The parameters of GT2-FLS are adjusted through the tuning rules that are extracted from robustness investigation. The proposed method is applied on CSs and it is demonstrated that the suggested observer and control system result in good performance in versus of disturbances, uncertainties, unknown and time-varying input nonlinearities, unmeasurable states and noisy faults. Comparison with other type of fuzzy systems demonstrates that the proposed GT2-FLS based controller is more effective.

Date: 2023
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DOI: 10.1080/00207721.2021.1918282

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