Optimal Interval Observer for Switched Takagi–Sugeno Systems: An Application to Interval Fault Estimation

The main goal of this article is to design interval observers for continuous nonlinear switched systems. modes are described by the multimodel approach Takagi-Sugeno (T-S) fuzzy systems where premise variables depending on state vector that unmeasurable. In article, we propose T-S consider unmeasurable as bounded uncertainties under common assumptions additive disturbances well measurement noises unknown but bounded. stability and nonnegativity conditions given in terms linear matrix inequality ensure simultaneously convergence error dynamics. Furthermore, absence noises, optimal gains attenuating effect computed using H ? improve accuracy present observers. Theoretical results finally applied a numerical example highlight performance proposed method.