Piecewise Integral Sliding-Mode Control for T–S Fuzzy Systems

Author

Xi, Zhiyu ; Feng, Gang ; Hesketh, Tim

Author_Institution

Sch. of Electr. Eng. & Telecommun., Univ. of New South Wales, Sydney, NSW, Australia

Volume

19

Issue

1

fYear

2011

Firstpage

65

Lastpage

74

Abstract

This paper addresses the issue of piecewise integral sliding-mode control (ISMC) for the Takagi-Sugeno (T-S) fuzzy systems. ISMC is chosen to stabilize the T-S fuzzy system because of its superior capability in treating uncertainties. Individual integral sliding surfaces are designed in different operating regions of the T-S fuzzy system. Conditions on the existence of the sliding mode in the associated region are given. The chattering phenomenon around region boundaries is analyzed, and the prevention of such chattering is discussed. An illustrative example is finally given to show the efficiency of the proposed method.

Keywords

fuzzy control; piecewise linear techniques; variable structure systems; T-S fuzzy system; Takagi-Sugeno fuzzy systems; chattering phenomenon; individual integral sliding surfaces; piecewise integral sliding mode control; Bismuth; Closed loop systems; Fuzzy systems; Sliding mode control; Stability analysis; Surface treatment; Trajectory; Piecewise; T–S; sliding mode;

fLanguage

English

Journal_Title

Fuzzy Systems, IEEE Transactions on

Publisher

ieee

ISSN

1063-6706

Type

jour

DOI

10.1109/TFUZZ.2010.2082553

Filename

5593877