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.

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