Observer design for Interconnected Takagi-Sugeno systems with Immeasurable Premise Variables

Abstract This paper deals with observer design for a class of Interconnected Takagi-Sugeno systems with Immeasurable Premise Variables. Asymptotic stability and -stability of Luenberger-like Interconnected Multiple Observers are examined. Finsler’s Lemma is used to relax -stability conditions through the introduction of additional slack variables. The designed conditions are expressed as Linear Matrix Inequalities. The proposed approaches are applied in simulation to a Proton Exchange Membrane Fuel Cell (PEMFC) system and a four-tank system.