Design of Dissipative Filter for Delayed Nonlinear Interconnected Systems via Takagi-Sugeno Fuzzy Modelling

摘要: This chapter is concerned with the problem of dissipative filtering of delayed nonlinear interconnected systems. The Takagi-Sugeno fuzzy rules are used to model the considered nonlinear interconnected system. A delay-dependent condition is established by constructing the delay-dependent Lyapunov-Krasovskii functional and using a new integral inequality to ensure that the resulting closed-loop system is asymptotically stable and has a strict - dissipativity. In addition, by solving a set of linear matrix inequalities (LMIs), a suitable filter is designed. In the case of filtering, it will be shown that the presented method has better filtering performance than the existing methods. The validity of the developed filter design technique is justified by a simulation example.