Decentralized Fuzzy $H_{\infty}$ Filtering for Nonlinear Interconnected Systems With Multiple Time Delays
Hongbin Zhang, Chuangyin Dang, Jian Zhang · IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics) · 2010
In general, due to the interaction among subsystems, it is difficult to design an Hinfinity filter for nonlinear interconnected systems. This paper introduces a decentralized Hinfinity fuzzy filter design for nonlinear interconnected systems with multiple time delays via T-S fuzzy models. The T-S fuzzy model consists of N time-delay T-S fuzzy subsystems. The decentralized Hinfinity filter is designed based on this model, which the asymptotic stability and a prescribed Hinfinity performance index are guaranteed for the overall filtering error system. A sufficient condition for the existence of such a filter is established by using linear matrix inequalities that are numerically feasible. A simulation example is given to show the effectiveness of this approach.