Quadratic stability of synchronous machine via Takagi-Sugeno fuzzy control

Author

Najat, Ouaaline ; Rachid, Ahmed ; Noureddine, Elalami

Author_Institution

Tech. Dept., Univ. Hassan 1, Settat, Morocco

fYear

2012

fDate

10-12 May 2012

Firstpage

1169

Lastpage

1174

Abstract

This paper deals the stability analysis of the PDC controller synthesis of a synchronous machine represented by TS fuzzy model. Based on a Quadratic Lyapunov function candidate (QLF), asymptotic stability conditions for continuous system implemented via Linear Matrix Inequalities was estabilished. Nevertheless, when we have a system that has a common control matrix, these additive constraints on the level of the coupled terms lead, obviously, to more conservative conditions. This suggestion guaranteed by deferring the problem only on the dominant terms naturally supposed controllable.

Keywords

Lyapunov methods; continuous systems; control system synthesis; controllability; fuzzy control; linear matrix inequalities; machine control; stability; synchronous machines; PDC controller synthesis; Takagi-Sugeno fuzzy control; additive constraint; asymptotic stability condition; common control matrix; continuous system; controllability; linear matrix inequalities; quadratic Lyapunov function candidate; quadratic stability; synchronous machine; Asymptotic stability; Equations; Linear matrix inequalities; Mathematical model; Stability analysis; Synchronous machines; Vectors; Control PDC; LMI; Takagi-Sugeno fuzzy model; continuous system; quadratic stability; synchronous machine;

fLanguage

English

Publisher

ieee

Conference_Titel

Multimedia Computing and Systems (ICMCS), 2012 International Conference on

Conference_Location

Tangier

Print_ISBN

978-1-4673-1518-0

Type

conf

DOI

10.1109/ICMCS.2012.6320169

Filename

6320169