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Adaptive Fuzzy Logic Control for a Class of Unknown Nonlinear Dynamic Systems with Guaranteed Stability

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Abstract

In this paper, a stability analysis is suggested for adaptive fuzzy logic systems (FLSs) without the requirement of states measurement or estimation. Fuzzy logic is viewed as a powerful tool in providing accurate approximation of systems with uncertainties. The proposed methodology exploits the power of adaptive control theory to find a Lyapunov-based adaptation law for FLSs. As such, both stability and tracking problems are addressed for a class of nonlinear dynamic systems. The proposed method yields reduced complexity with respect to many adaptive FLSs available in the literature. In addition, the use of an observer to estimate immeasurable states is not required as in other methods. First, a stability analysis is presented for adaptive control. Then, results are extended to adaptive FLSs with unknown dynamics. A numeric illustrative example highlights the implementation details and the performance of the suggested scheme.

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Authors and Affiliations

  1. Intelligent Robotic and Energy Systems (IRES), Department of Electronics, Carleton University, 1125 Colonel By Drive, Ottawa, ON, K1S 5B6, Canada

    Hicham Chaoui

  2. LUSAC Laboratory, University of Caen Basse-Normandie, Esplanade de la Paix, 14032, Caen, France

    Hamid Gualous

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  1. Hicham Chaoui
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  2. Hamid Gualous
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Correspondence to Hicham Chaoui.

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Chaoui, H., Gualous, H. Adaptive Fuzzy Logic Control for a Class of Unknown Nonlinear Dynamic Systems with Guaranteed Stability. J Control Autom Electr Syst 28, 727–736 (2017). https://doi.org/10.1007/s40313-017-0342-y

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  • DOI: https://doi.org/10.1007/s40313-017-0342-y

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