Delay-Dependent Guaranteed Cost Control for Uncertain Stochastic Fuzzy Systems with Time-Delay

This paper studies a guaranteed cost control problem for a class of uncertain stochastic nonlinear systems with time-delay which can be approximated by Takagi-Sugeno (T-S) fuzzy model with time-delay and uncertainties (for short, uncertain stochastic fuzzy system with time-delay). By representing this class of stochastic fuzzy systems in the descriptor form and applying a recent result on bound of cross products of vectors and parallel distributed compensation (PDC) technique to state feedback controller design, we obtain new delay-dependent sufficient conditions for the existence of state feedback guaranteed cost controller in terms of linear matrix inequalities (LMIs). Then the upper bound of time-delay can be obtained via modified generalized eigenvalue minimization problem (GEMP) technique in Matlab such that the system can be stabilized for all time-delays whose sizes are smaller than this bound. An illustrative example verifies the effectiveness of the scheme