In this paper, the concept of practical output feedback controller for Takagi-Sugeno fuzzy models is introduced. Some new sufficient conditions are obtained to ensure the exponential stability using state estimation of the fuzzy control systems in presence of perturbations. We show that all state trajectories of the closed-loop fuzzy system are bounded and approach a sufficiently small neighborhood of the origin. First we consider the stability with state feedback fuzzy controllers and a natural form of observers for the considered models is designed where some restrictions are imposed on the perturbations for their practical exponential convergence. We then show that the state feedback controller and the observer always yield a stabilizing output feedback controller provided that the stabilizing property of the control and the asymptotic convergence of the observer are guaranteed by the Lyapunov method using positive definite matrices. In this sense, it is shown that the separation principle holds, the challenges are discussed and some analysis oriented tools are provided. An example in dimensional two is given to show the effectiveness of the proposed fuzzy-observer-based control approach.

本文介绍了高木-Sugeno模糊模型的实际输出反馈控制器的概念。在存在扰动的情况下，使用模糊控制系统的状态估计可获得一些新的充分条件，以确保指数稳定性。我们表明，闭环模糊系统的所有状态轨迹都是有界的，并且接近原点的足够小的邻域。首先，我们考虑了状态反馈模糊控制器的稳定性，并为所考虑的模型设计了自然形式的观测器，其中对扰动施加了一些限制，以实现其实际的指数收敛。然后，我们证明，只要使用正定矩阵的Lyapunov方法保证了控制的稳定特性和观察者的渐近收敛性，状态反馈控制器和观察者总是会产生稳定的输出反馈控制器。从这个意义上讲，它表明分离原理成立，讨论了挑战并提供了一些面向分析的工具。在第二维中给出了一个例子来说明所提出的基于模糊观测器的控制方法的有效性。