Analysis of stabilizing control of discrete-time fuzzy bilinear system

Author

He Yong ; Zhao Yanhua ; Zhang Guo

Author_Institution

Luoyang Inst. of Sci. & Technol., Luoyang, China

fYear

2012

fDate

24-27 June 2012

Firstpage

14

Lastpage

18

Abstract

The paper presents stability analysis and controller synthesis for T-S discrete-time fuzzy bilinear system (DFBS) with single-input and multiple-input, respectively. Based on the parallel distributed compensation (PDC) method, some sufficient conditions are derived to guarantee the global asymptotically stability of the overall fuzzy system. The conditions are represented in terms of linear matrix inequality (LMI) and the corresponding controller can be obtained by solving a set of linear matrix inequalities. Numerical examples are given to show the effectiveness of the presented methods.

Keywords

discrete time systems; fuzzy control; linear matrix inequalities; linear systems; stability; DFBS; LMI; PDC; T-S discrete time fuzzy bilinear system; asymptotically stability; controller synthesis; corresponding controller; discrete time fuzzy bilinear system; linear matrix inequalities; linear matrix inequality; parallel distributed compensation; stability analysis; stabilizing control; Biological system modeling; Bismuth; Scalp; asymptotically stability; discrete-time fuzzy bilinear system (DFBS); fuzzy control; linear matrix inequality (LMI);

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical & Electronics Engineering (EEESYM), 2012 IEEE Symposium on

Conference_Location

Kuala Lumpur

Print_ISBN

978-1-4673-2363-5

Type

conf

DOI

10.1109/EEESym.2012.6258575

Filename

6258575