Static Output Feedback controller design for Takagi-Sugeno systems - a Fuzzy Lyapunov LMI approach

This paper deals with Takagi-Sugeno (T-S) systems stabilization based on a static output feedback (SOF) non-PDC control law. To investigate SOF stabilization, the closed loop dynamics is written using a descriptor redundancy formulation. This approach allows avoiding appearance of crossing terms between the controller´s and the T-S system´s matrices. Thus, based on a fuzzy Lyapunov candidate function (FLF), a LMI based design methodology is provided. Then, a H-infinity criterion is considered to attenuate external disturbances. Finally, an academic example illustrates the efficiency of the proposed approach.