In this paper, we present a practical Mittag–Leffler stability for a new class of fractional-order nonlinear Takagi–Sugeno fuzzy uncertain systems. Based on fractional-order Lyapunov stability theory and the parallel distributed compensation (PDC) controller techniques, we show the convergence of the solutions of the closed-loop considered system toward a neighborhood of the origin. Furthermore, a numerical example is given to show the applicability of the main result.

中文翻译：

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分数阶非线性模糊系统的实用稳定性

在本文中，我们提出了一类新型分数阶非线性 Takagi-Sugeno 模糊不确定系统的实用 Mittag-Leffler 稳定性。基于分数阶李雅普诺夫稳定性理论和并行分布式补偿（PDC）控制器技术，我们展示了闭环考虑系统的解向原点邻域的收敛性。此外，还给出了数值例子来说明主要结果的适用性。