$\mathcal{H}_{\infty}$ Filtering for Continuous-Time Takagi-Sugeno Fuzzy Systems

This paper investigates the problem of <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$\mathcal{H}_{\infty}$</tex> filtering for continuous-time Takagi-Sugeno fuzzy systems. The method adopts the continuous-time model, effectively capturing the complex characteristics of Takagi-Sugeno fuzzy systems. Utilizing integral Lyapunov functions and employing extra free variables, sufficient conditions in the form of linear matrix inequalities are derived. Compared with existing fuzzy filtering methods, this design significantly reduces the conservativeness. Finally, the effectiveness and superiority of the proposed method are verified through two simulation examples.