Decentralized Static Output Feedback control of interconnected fuzzy descriptors

This paper addresses the stabilization issue based on decentralized Static Output Feedback (SOF) non-Parallel-Distributed-Compensation (non-PDC) controllers for large scale nonlinear descriptors. The overall nonlinear plant is represented by interconnections between n Takagi-Sugeno (T-S) fuzzy descriptors. In order to avoid the appearance of crossing terms between local controllers and T-S subsystems, the closed-loop dynamics is written using a descriptor redundancy formulation. The stability conditions, obtained from a multiple fuzzy Lyapunov function (MFLF) candidate, are proposed in term of Linear Matrix Inequality (LMI). Finally, an academic example is provided to illustrate the efficiency of the proposed approach.