Stability analysis of linear linguistic control systems

Author

Zhao, Liang

Author_Institution

Coll. of Electr. Eng., Henan Univ. of Technol., Zhengzhou, China

Volume

2

fYear

2011

fDate

25-28 July 2011

Firstpage

905

Lastpage

909

Abstract

This paper presents numerical procedure of linear linguistic control systems(LLCSs) and their stabilities using IT2 fuzzy approach. Firstly, When multiple uncertain property of information is considered, interval type-2 fuzzy sets (IT2FSs) are rightly employed to be basic variables in the LLCSs. Consequently, linear conventional control systems (LCCSs) are abstracted into their linguistic counterparts. Secondly, their numerical procedure can be obtained by IT2 fuzzy decomposition theorem. Thirdly, their stabilities are also investigated. Existence of stable linguistic state vector (LSV) and stability condition is discussed in detail. Finally, properties of LLCSs are compared with those of LCCSs by several numerical examples, which confirms that it is correct that our proposing LLCSs and their stabilities.

Keywords

fuzzy control; linear systems; stability; IT2 fuzzy approach; IT2FSs; LLCS; LSV; interval type 2 fuzzy sets; linear conventional control systems; linear linguistic control systems; linguistic counterparts; linguistic state vector; numerical procedure; stability analysis; Asymptotic stability; Control systems; Eigenvalues and eigenfunctions; Fuzzy sets; Numerical stability; Pragmatics; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Information Processing (ICICIP), 2011 2nd International Conference on

Conference_Location

Harbin

Print_ISBN

978-1-4577-0813-8

Type

conf

DOI

10.1109/ICICIP.2011.6008381

Filename

6008381