A functional observer–controller design problem of Takagi-Sugeno fuzzy systems with unmeasured premise variables and external disturbance is investigated in this paper. First, robust state feedback controller is designed based on a relaxed fuzzy Lyapunov approach. With an estimation membership functions of transformation technique, a fuzzy functional observer is introduced to estimate the unmeasured premise variables and system control input. By using a robust separation principle, the observer and controller errors system is proved to be stable and robust to external disturbance. Finally, the estimation and control effects of the proposed method are verified through several engineering examples.

中文翻译：

---

具有外部扰动的不可测前提变量 Takagi-Sugeno 系统的函数观测器-控制器方法

本文研究了具有不可测前提变量和外部干扰的 Takagi-Sugeno 模糊系统的函数观察器-控制器设计问题。首先，基于松弛模糊李雅普诺夫方法设计鲁棒状态反馈控制器。利用变换技术的估计隶属函数，引入模糊函数观测器来估计未测量的前提变量和系统控制输入。通过使用鲁棒分离原理，观测器和控制器误差系统被证明对外部干扰是稳定和鲁棒的。最后，通过几个工程实例验证了所提方法的估计和控制效果。