Stability analysis and design of type-II fuzzy controllers

Author

Xiu, Zhihong ; Wang, Yanhui ; Cheng, Zhanxin

Author_Institution

Dept. of Command Control, Dalian Naval Acad., Dalian

fYear

2008

fDate

2-4 July 2008

Firstpage

2054

Lastpage

2059

Abstract

This paper presents the issues of stability analysis and design of the so-called type-II fuzzy controllers, a class of fuzzy controllers whose fuzzy rules employ singleton consequents. Firstly, the analytical structure of type-II fuzzy controllers is studied in detail, and the interpolation model of double-input single-output (DISO) type-II fuzzy controllers is deduced. Secondly, a numerical methodology for the piecewise quadratic stability analysis of the closed-loop system constructed by a type-II controller and a target plant expressed by Takagi-Sugeno (T-S) fuzzy model is proposed. The new method proposed in this paper employs two new strategies to release the conservatism of the previous ones: the region-wise affine transformation and the piecewise quadratic Lyapunov function. Thirdly, the optimization and design methods of type-II fuzzy controllers are also proposed based on the interpolation model and stability analysis.

Keywords

Lyapunov methods; control system analysis; control system synthesis; fuzzy control; interpolation; stability; Takagi-Sugeno fuzzy model; closed loop system; double-input single-output controller; fuzzy rules; interpolation model; piecewise quadratic Lyapunov function; piecewise quadratic stability analysis; region-wise affine transformation; type-II fuzzy controller design; Fuzzy control; Stability analysis; Fuzzy Control; Optimal Design; Quadratic Stability; Structure Analysis; Type-II Fuzzy Controller;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference, 2008. CCDC 2008. Chinese

Conference_Location

Yantai, Shandong

Print_ISBN

978-1-4244-1733-9

Electronic_ISBN

978-1-4244-1734-6

Type

conf

DOI

10.1109/CCDC.2008.4597687

Filename

4597687