Finite memory state observer design for polytopic systems. Application to sensor fault diagnosis

International audience; The proposed paper addresses the Finite Memory Observer (FMO) design applied to polytopic models. After a brief introduction on FTO for linear systems, the nonlinear models represented in a Takagi-Sugeno (T-S) or Polytopic form are then considered. The considered observer design will be applied to investigate the fault diagnosis for nonlinear discrete-time systems subject to unknown input where joint system states and unknown inputs estimation is proposed.