Enhanced fuzzy state estimation of discrete‐time nonlinear systems via a multi‐instant united switch‐type observer

Abstract

AbstractThe performance of state estimation of discrete‐time Takagi–Sugeno systems is enhanced by proposing a featured multiinstant united switch‐type observer. The novelty of the proposed observer lies in both the definition and application of a set of switching modes. Since different time‐variant free matrices can be for the first time introduced in accordance with each switching mode, both the current time and the past time normalized fuzzy weighting functions are together considered for designing the corresponding observer gain matrices with much less conservatism than those recent methods reported in the literature. Furthermore, there are only two tuning parameters which are both located in a limited candidate set and thus this fact does benefit for giving the optimal solution of our developed multiinstant united switch‐type candidates. Finally, numerical comparisons are provided in order to verify the technical superiority of the results developed in this article.