This paper presents an output-feedback exponential stabilization condition of sampled-data polynomial fuzzy control systems under variable sampling rates. Compared with previous work, the proposed method is less conservative because of the newly developed time-dependent fuzzy Lyapunov–Krasovskii functional that is based on the conventional fuzzy Lyapunov function. Moreover, the controller is allowed to contain polynomial gain matrices, thereby improving the control performance and design flexibility. This is realized by assuming the difference between the continuous- and discrete-time state vectors as time-varying norm-bounded uncertainties, which are manipulated using a robust control technique. A new sufficient condition is introduced to cast the stability condition containing the integral term as the sum-of-square conditions. Finally, the effectiveness of the proposed method is validated by simulations.

中文翻译：

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多项式模糊系统采样数据输出反馈稳定的模糊 Lyapunov-Krasovskii 泛函方法

本文提出了可变采样率下采样数据多项式模糊控制系统的输出反馈指数稳定条件。与以前的工作相比，由于新开发的基于传统模糊 Lyapunov 函数的时间相关模糊 Lyapunov-Krasovskii 函数，所提出的方法不太保守。此外，控制器允许包含多项式增益矩阵，从而提高控制性能和设计灵活性。这是通过将连续时间和离散时间状态向量之间的差异假设为时变范数有界不确定性来实现的，这些不确定性是使用鲁棒控制技术进行操作的。引入了一个新的充分条件，将包含积分项的稳定性条件转换为平方和条件。最后，