Title :
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
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;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6896904
