Abstract: Problems of finitetime stochastic stability and robust H∞ control for stochastic singular TakagiSugeno fuzzy systems with It type were investigated. Firstly， the stochastic singular system with bounded input noise was described by the TS fuzzy model. Meanwhile， definitions of finitetime stochastic stability and robust finitetime H∞ control of such systems were given. And then， based on the finitetime stability control theory， the sufficient condition for the existence of robust H∞ controller which could also satisfy finitetime stability was presented by analyzing a state feedback system. By constructing LyapunovKrasovskii function and applying linear matrix inequality， the description of a feasibility solution problem for the design of the controller was presented. Finally， numerical examples were given to illustrate the effectiveness of the obtained results.

Key words: stochastic singular TS fuzzy systems, robust H∞ control, finitetime stochastic stability, It differential, linear matrix inequality