Switching Fuzzy Dynamic Output Feedback H ∞ Control for Nonlinear Systems

Abstract—This paper studies the problem of dynamic output feedback H ∞ control for nonlinear systems, which are described by Takagi–Sugeno fuzzy parts with measurable premise variables and uncertainty parts. The uncertainties are parameter depen-dent, unknown, and time varying but bounded. A switching fuzzy dynamic output feedback control scheme is proposed, which de-pends on the measurable premise variables and the bounds of the unknown parameters of the considered system, where the switching mechanism is introduced to handle the unknown pa-rameters. A two-step linear-matrix-inequality-based optimization procedure is developed to design switching fuzzyH ∞ controllers. An example is given to illustrate the effectiveness of the proposed design method. Index Terms—Dynamic output feedback, fuzzy control, linear matrix inequalities (LMIs), nonlinear systems, switching control, Takagi–Sugeno (T–S) fuzzy models. I