The Indefinite LQ Control for Stochastic T-S Fuzzy System with Intermittent Observations

This paper mainly considers the indefinite linear quadratic (LQ) control problem for the stochastic Takagi-Sugeno (T-S) fuzzy system with intermittent observations. First, the optimal estimation is presented based on the measurement process. This effectively solves the problem of incomplete state information. Second, in allusion to indefinite control weighting matrices, the well-posedness of the indefinite LQ control is analyzed by the feasibility of linear matrix inequalities (LMIs). Finally, using dynamic programming principle, the optimal output feedback controller is designed based on the coupled difference Riccati equations (CDREs).