Analysis of stabilizing control of discrete-time fuzzy bilinear system

Author

Guo, Zhang ; Chunxia, Duan ; Yanhua, Zhao

Author_Institution

Dept. of Electr. Eng. & Autom., Luoyang Inst. of Sci. & Technol., Luoyang, China

fYear

2012

fDate

23-25 May 2012

Firstpage

2712

Lastpage

2716

Abstract

This paper presents stability analysis and controller synthesis for discrete-time fuzzy bilinear system 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

asymptotic stability; bilinear systems; compensation; control system synthesis; discrete time systems; fuzzy control; linear matrix inequalities; LMI; PDC method; controller synthesis; discrete time fuzzy bilinear system; global asymptotic stability; linear matrix inequality; multiple-input system; parallel distributed compensation method; single-input system; stability analysis; sufficient conditions; Control systems; Fuzzy control; Linear matrix inequalities; Mathematical model; Nonlinear systems; Stability analysis; asymptotically stability; discrete-time fuzzy bilinear system; fuzzy control; linear matrix inequality (LMI);

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2012 24th Chinese

Conference_Location

Taiyuan

Print_ISBN

978-1-4577-2073-4

Type

conf

DOI

10.1109/CCDC.2012.6244432

Filename

6244432