Interval-Boundary-Dependent Control for Interval Type-2 T–S Fuzzy Systems

Journal of control, automation and electrical systems

article

Park, Bum Yong¹  Shin, JaeWook² 

[1] Department of Electronic Engineering, Kumoh National Institute of Technology;Department of Medical and Mechatronics Engineering, Soonchunhyang University

关键词: Interval type-2 fuzzy system;    Stability analysis;    Relaxation;    Fuzzy control;   

DOI  :  10.1007/s40313-018-0418-3

学科分类：自动化工程

来源: Springer

【 摘 要 】

This paper introduces a state-feedback controller for interval type-2 Takagi–Sugeno fuzzy systems that are described as a convex combination of linear subsystems via normalized time-varying fuzzy weighting parameters, which are unknown but belong to intervals. The introduced structure employs lower and upper interval boundaries directly, rather than alternative parameters generated by the interval boundaries in the studies, which does lead to a stabilization condition of parameterized linear matrix inequalities (LMIs), associated only with the parameters and their interval boundaries. The exact relationship among the parameters and their interval boundaries can, therefore, be fully used to convert parameterized LMIs into LMIs, which provides a great feature distinguished from those in the studies. Two illustrative examples demonstrate the effectiveness and robustness of the derived controller.

【 授权许可】

CC BY