Exponential sampled-data control for T–S fuzzy systems: application to Chua's circuit

Nallappan Gunasekaran, Ramasamy Saravanakumar, M. Syed Ali and Quanxin Zhu

International Journal of Systems Science, 2019, vol. 50, issue 16, 2979-2992

Abstract: This study deals with the chaotic phenomenon of nonlinear Chua's circuit for power generator systems. Takagi–Sugeno (T–S) fuzzy model of a nonlinear system is established. By constructing a suitable Lyapunov functional, exponential stability conditions are obtained for fuzzy systems. Based on the sampled-data control theory, extreme sensitivity is visualised in the state trajectory depending on the initial conditions and sampled-data fuzzy controllers are designed in the form of linear matrix inequality (LMI). Finally, some numerical simulation results are shown that the sampled-data fuzzy control system adopts a well-designed methodology.

Date: 2019
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DOI: 10.1080/00207721.2019.1691753

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