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

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.