期刊
IEEE TRANSACTIONS ON FUZZY SYSTEMS
卷 19, 期 3, 页码 505-513出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2011.2116027
关键词
Fuzzy control; linear-matrix inequality (LMI); stability analysis; staircase membership functions; Takagi-Sugeno (T-S) fuzzy model
资金
- King's College London
- Engineering and Physical Sciences Research Council [EP/E05627X/1]
- EPSRC [EP/E05627X/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/E05627X/1] Funding Source: researchfish
This paper investigates the stability of fuzzy-modelbased (FMB) control systems. An alternative stability-analysis approach using an artificial fuzzy system based on the Lyapunov stability theory is proposed. To facilitate the stability analysis, the continuous membership functions of the Takagi-Sugeno (T-S) fuzzy model are represented by the staircase ones. With the nice property of the staircase membership functions, it turns the set of infinite number of linear-matrix-inequality (LMI) based stability conditions into a finite one. Furthermore, the staircase membership functions carrying system information can be brought to the stability conditions to relax the stability conditions. The stability of the original FMB control systems is guaranteed by the satisfaction of the LMI-based stability conditions. The proposed stability analysis is applied to the FMB control systems of which the T-S fuzzy model and fuzzy controller do not share the same premise membership functions and, thus, is able to enhance the design flexibility of the fuzzy controller. A simulation example is given to illustrate the merits of the proposed approach.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据