Wang Likui, Lam Hak-Keung
IEEE Trans Cybern. 2020 Nov;50(11):4855-4860. doi: 10.1109/TCYB.2019.2933696. Epub 2019 Aug 28.
This article further studies the problem of observer design for the continuous-time Takagi-Sugeno (T-S) fuzzy system with unmeasurable premise variables. A membership function-dependent Lyapunov function is designed to obtain the observer-based controller. Different from the existing results, a switching method is proposed to deal with the time derivative of membership functions. Several problems such as, too many parameters, and the small local stabilization region in the existing papers are solved by applying the switching method. In addition, two algorithms are designed to obtain the controller gains and observer gains. In the end, two examples are provided to demonstrate the effectiveness of the proposed approach.
本文进一步研究了具有不可测前提变量的连续时间 Takagi-Sugeno（T-S）模糊系统的观测器设计问题。设计了一种依赖于隶属函数的李雅普诺夫函数来获得基于观测器的控制器。与现有结果不同的是，提出了一种切换方法来处理隶属函数的时间导数。通过应用切换方法，解决了现有文献中诸如参数过多和局部稳定区域过小等几个问题。此外，设计了两种算法来获得控制器增益和观测器增益。最后，给出了两个例子来证明所提方法的有效性。
