Stability and stabilization of stochastic linear parameter varying T-S fuzzy system

Author

Jizhen Liu ; Yang Hu ; Taihua Chang ; Tingting Yang ; Zhongwei Lin ; Mingyang Li

Author_Institution

State Key Lab. of Alternate Electr. Power Syst. with Renewable Energy Sources, North China Electr. Power Univ., Beijing, China

fYear

2014

fDate

2-5 Sept. 2014

Firstpage

40

Lastpage

45

Abstract

This paper studies the stability and stabilization of stochastic Linear Parameter Varying (LPV) Takagi-Sugeno (T-S) fuzzy system. Concretely, the affine T-S fuzzy linearization approach is used to deal with the nonlinearity of the parameter-dependent stochastic nonlinear system and the stochastic LPV T-S fuzzy system is obtained. While bringing in the parameter-dependent Piecewise Quadratic Lyapunov Functions (PQLFs) and considering the approximation error, the stability problem and stabilization problem of the stochastic LPV T-S fuzzy system are discussed and the sufficient conditions are deduced in Linear Matrix Inequalities (LMIs) form.

Keywords

fuzzy control; linear matrix inequalities; linearisation techniques; nonlinear control systems; nonlinear dynamical systems; stability; stochastic systems; LMI; LPV system; PQLF; Takagi-Sugeno fuzzy system; affine T-S fuzzy linearization approach; linear matrix inequalities; parameter-dependent piecewise quadratic Lyapunov functions; parameter-dependent stochastic nonlinear system; stability; stabilization; stochastic linear parameter varying T-S fuzzy system; Educational institutions; Electronic mail; Fuzzy systems; Laboratories; Power system stability; Renewable energy sources;

fLanguage

English

Publisher

ieee

Conference_Titel

Methods and Models in Automation and Robotics (MMAR), 2014 19th International Conference On

Conference_Location

Miedzyzdroje

Print_ISBN

978-1-4799-5082-9

Type

conf

DOI

10.1109/MMAR.2014.6957322

Filename

6957322