IEEE Trans Cybern. 2022 Jun;52(6):4198-4208. doi: 10.1109/TCYB.2020.3024754. Epub 2022 Jun 16.
This article investigates the design of the l-l dynamic output-feedback (DOF) controller for interval type-2 (IT2) T-S fuzzy systems with state delay. For nonlinear systems, the IT2 fuzzy model is an efficient modeling method which can better express uncertainties than the (type-1) fuzzy model. In addition, state delay is also a general factor that affects system performance. After analyzing the stability of the system, based on convex linearization and the projection theorem, this article proposes a delay-dependent output-feedback controller design method. The IT2 membership functions (MFs) of the fuzzy controller are chosen to be different from those of the model so as to increase the freedom of controller selection. A membership-function-dependent (MFD) method based on the staircase MFs is applied to relax the stability analysis results. Finally, a numerical simulation example is given to illustrate the effectiveness of the results.
本文研究了具有状态时滞的区间型 2（IT2）T-S 模糊系统的 l-l 动态输出反馈（DOF）控制器设计。对于非线性系统，IT2 模糊模型是一种有效的建模方法，它比（类型 1）模糊模型能够更好地表达不确定性。此外，状态时滞也是影响系统性能的一个普遍因素。本文在分析系统稳定性的基础上，基于凸线性化和投影定理，提出了一种时滞相关的输出反馈控制器设计方法。模糊控制器的 IT2 隶属函数（MF）被选择为与模型的隶属函数不同，以增加控制器选择的自由度。应用基于阶梯 MF 的隶属函数相关（MFD）方法来放宽稳定性分析结果。最后，给出了一个数值仿真例子来说明结果的有效性。
