Output-feedback H∞ control for parameter varying fuzzy dynamic systems

Author

Hu Yang ; Liu Jizhen ; Lin Zhongwei

Author_Institution

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

fYear

2014

fDate

28-30 July 2014

Firstpage

1811

Lastpage

1816

Abstract

The paper mainly studies the procedure for the linearization and control of Affine Nonlinear Parameter Varying (ANPV) system. The Takagi-Sugeno(T-S) fuzzy modeling approach is adopted to deal with the nonlinearity. As a result, the Linear Parameter Varying(LPV) T-S fuzzy system with required accuracy can be obtained. Then, through bringing in the parameter-dependent Piecewise Quadratic Lyapunov Functions (PQLFs), the H_∞ stability problem and the output-feedback H_∞ control problem of the LPV T-S fuzzy system are explored, respectively. The sufficient conditions are both given in Linear Matrix Inequalities (LMIs) form. At last, the numerical example is executed for validation and the simulation results show the effectiveness of the above approaches.

Keywords

H^∞ control; Lyapunov methods; control nonlinearities; feedback; fuzzy control; linear matrix inequalities; linearisation techniques; nonlinear control systems; nonlinear dynamical systems; piecewise linear techniques; ANPV; H∞ stability problem; LMI; LPV T-S fuzzy system; PQLF; Takagi-Sugeno fuzzy modeling approach; affine nonlinear parameter varying system; linear matrix inequality; linear parameter varying; linearization; nonlinearity; output feedback H_∞ control; parameter varying fuzzy dynamic system; piecewise quadratic Lyapunov functions; sufficient conditions; Accuracy; Approximation methods; Bismuth; Fuzzy systems; Numerical stability; Stability analysis; Symmetric matrices; H∞ control; LPV gain scheduling control; Linear matrix inequalities; Output-feedback control; T-S fuzzy;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6896904

Filename

6896904