当前位置: X-MOL 学术Neural Comput. & Applic. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Stability analysis of T-S fuzzy-model-based coupled control systems with nonlinear T-S fuzzy control and its application
Neural Computing and Applications ( IF 6 ) Pub Date : 2021-06-19 , DOI: 10.1007/s00521-021-06170-9
Jiayi Liu , Yongmei Cui , Huihui Song , Xuewei Zhang , Yanbin Qu

Takagi-Sugeno (T-S) fuzzy model offers a general and systematic framework to represent a nonlinear plant and provides an effective platform to facilitate stability analysis and control synthesis. This paper is concerned with the stability of the equilibrium point of a class of T-S fuzzy-model-based coupled control systems (TSFCCSs). Combined the Lyapunov method and graph theory, a systematic method to construct a global Lyapunov function for TSFCCSs is proposed, and then the substantial criteria of global stability at the equilibrium point with the condition of the system topology property are obtained. The theoretical results are suitable for the microgrid which is an application of the coupled control system. The significance of the presented results is that the global asymptotic stability of the microgrid can be achieved at the equilibrium point owing to the proposed secondary nonlinear T-S fuzzy control. Finally, one numerical simulation of a microgrid with six-generator seven-bus topology is presented to illustrate the progressiveness and feasibility of our results.



中文翻译:

基于TS模糊模型的非线性TS模糊控制耦合控制系统稳定性分析及其应用

Takagi-Sugeno (TS) 模糊模型提供了一个通用和系统的框架来表示非线性对象,并提供一个有效的平台来促进稳定性分析和控制综合。本文关注一类基于TS模糊模型的耦合控制系统(TSFCCSs)平衡点的稳定性。结合李雅普诺夫方法和图论,提出了一种构造TSFCCS全局李雅普诺夫函数的系统方法,进而得到了系统拓扑性质条件下平衡点全局稳定性的实质判据。理论结果适用于耦合控制系统的应用微电网。所呈现结果的意义在于,由于所提出的二次非线性 TS 模糊控制,可以在平衡点实现微电网的全局渐近稳定性。最后,提出了一个具有六发电机七总线拓扑结构的微电网的数值模拟,以说明我们结果的渐进性和可行性。

更新日期:2021-06-19
down
wechat
bug