Multi-objective synthesis for Takagi-Sugeno model subject to input saturation via dynamic output feedback controller

This paper is to propose a systematic method for the design of a dynamic output feedback controller for nonlinear systems in Takagi-Sugeno form subject to input saturation. The proposed method is based on a new technique for modeling the saturation effect that allows taking its nonlinearity effects into the problem of controller design. Based on Lyapunov theory, sufficient conditions for ensuring the system global stability are formulated in terms of linear matrix inequalities (LMIs) considering the L₂ -gain performance specification under amplitude bounded exogenous disturbances. An example is presented to illustrate the effectiveness of the proposed method.