Stability analysis of SIRMs based type-2 fuzzy logic control systems

Author

Li, Chengdong ; Yi, Jianqiang ; Wang, Tiechao

Author_Institution

Sch. of Inf. & Electr. Eng., Shandong Jianzhu Univ., Jinan, China

fYear

2010

fDate

18-23 July 2010

Firstpage

1

Lastpage

7

Abstract

This paper tries to provide a stability analysis approach for the single input rule modules (SIRMs) based type-2 fuzzy logic control systems. First, in the neighbor of the equilibrium point, the closed-form input-output mappings of type-2 SIRMs (T2SIRMs) are explored, and the derivatives of T2SIRMs at the equilibrium point are computed. Then, how to compute the Jacobian matrix of the SIRMs based type-2 fuzzy logic control systems, which is a fundamental step for local stability analysis, is presented. At last, two examples on stabilization control of the TORA system and the inverted pendulum system are given. The results in both examples demonstrate that the stability analysis results agree completely with the control results.

Keywords

Jacobian matrices; control system analysis; fuzzy control; nonlinear control systems; stability; Jacobian matrix; TORA system; closed-form input-output mapping; inverted pendulum system; single input rule module; stability analysis; stabilization control; type-2 SIRM; type-2 fuzzy logic control system; Control systems; Eigenvalues and eigenfunctions; Engines; Fuzzy logic; Iterative algorithm; Jacobian matrices; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems (FUZZ), 2010 IEEE International Conference on

Conference_Location

Barcelona

ISSN

1098-7584

Print_ISBN

978-1-4244-6919-2

Type

conf

DOI

10.1109/FUZZY.2010.5584126

Filename

5584126