 Robust fixed-time synchronization of fractional order chaotic using free chattering nonsingular adaptive fractional sliding mode controller designMehrdad Shirkavand and Mahdi Pourgholi Chaos, Solitons & Fractals, 2018, vol. 113, issue C, 135-147 Abstract: In this paper, fixed-time synchronization of two fractional order chaotic systems in the presence of uncertainties and exogenous disturbances using a fuzzy adaptive sliding mode controller has been investigated. In the proposed approach, the upper bound of the synchronization time is completely independent of the difference between the initial conditions of the master and slave systems and just depends on the design parameters of the switching surface and controller. Adaption laws are proposed for selecting controllers and switching surface parameters to have a proper control and reduce control dependence on estimation of disturbances upper bound. Furthermore, to remove chattering phenomenon a fuzzy logic system is used. The fixed-time stability and controller design are driven based on Lyapunov stability theorem and simulations results are provided to show the effectiveness of proposed method. Keywords: Fractional-order; Chaos; Fixed-time synchronization; Adaptive sliding mode; Fuzzy system (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:113:y:2018:i:c:p:135-147 DOI: 10.1016/j.chaos.2018.05.020 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
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