Design of a stable Takagi-Sugeno Fuzzy Control system via LMIs with disturbance rejection

Author

Namazov, Manafeddin ; Tekgun, Burak ; Celikkale, I. Emre

Author_Institution

Dept. of Electr. & Electron. Eng., Cumhuriyet Univ., Sivas, Turkey

fYear

2012

fDate

2-4 July 2012

Firstpage

1

Lastpage

5

Abstract

In this paper, we have presented the control of an inverted pendulum system controlled by a dc motor via a gear train using the T-S fuzzy approach. Stability conditions of this system with disturbance rejection can be formulized in terms of linear matrix inequalities (LMIs), which can be solved using the LMI Toolbox in MATLAB. To simplify the procedure of T-S fuzzy modeling and control, a software tool designed by the authors was proposed which is called the “Modeling Takagi-Sugeno Fuzzy Control Toolbox”. This toolbox works in Matlab/Simulink environment.

Keywords

DC motors; control system synthesis; fuzzy control; fuzzy systems; gears; linear matrix inequalities; nonlinear control systems; pendulums; software tools; stability; DC motor; LMI toolbox; Matlab-Simulink environment; T-S fuzzy approach; T-S fuzzy modeling; disturbance rejection; gear train; inverted pendulum system control; linear matrix inequalities; modeling Takagi-Sugeno fuzzy control toolbox; software tool; stability conditions; stable Takagi-Sugeno fuzzy control system design; DC motors; Fuzzy control; MATLAB; Mathematical model; Nonlinear systems; Stability analysis; LMIs; PDC; T-S fuzzy model; disturbance rejection;

fLanguage

English

Publisher

ieee

Conference_Titel

Innovations in Intelligent Systems and Applications (INISTA), 2012 International Symposium on

Conference_Location

Trabzon

Print_ISBN

978-1-4673-1446-6

Type

conf

DOI

10.1109/INISTA.2012.6246945

Filename

6246945