Event-triggered Nonfragile Observer Design for Interval Type-2 T-S Fuzzy Systems with Unmeasurable Premise Variables and Bounded Disturbances

Abstract

In this study, the designing problem of event- triggered nonfragile state observer of discrete time nonlinear systems affected by both unmeasurable premise variables and bounded disturbances is investigated. The complex nonlinear systems are expressed utilizing interval type-2 Takagi-Sugeno fuzzy models with upper and lower membership functions. A design scheme of nonfragile observer is presented for estimating the states. Event-triggered mechanism as a powerful way to realize a tradeoff between system performance and signal transmission frequency is introduced to alleviate network transmission load. A fuzzy observer design approach is presented within the frame of quadratic boundedness theory, and the criterion of the estimated error dynamical system possessing quadratic stability is given. The desirable observer parameter matrices are given in virtue of linear matrix inequality. Through a simulation example, the feasibility of the addressed fuzzy observer methodology is verified.