H-infinity decentralized Static Output Feedback controller design for large scale Takagi-Sugeno systems

This paper deals with large scale Takagi-Sugeno (T-S) systems stabilization based on a decentralized Static Output Feedback (SOF) non-PDC control scheme. To do so, the overall closed loop dynamics is written using a descriptor redundancy formulation. The latter allows avoiding crossing terms between the controller´s and the system´s matrices. Thus, based on a multiple Fuzzy Lyapunov candidate function and a H-infinity criterion, employed to minimize the effects of the interconnections between subsystems, a LMI based design methodology is proposed. Finally, an academic example illustrates the efficiency of the proposed approach.