Multi-sensor optimal H∞ fusion filters for a class of nonlinear intelligent systems with time delays

Abstract

This paper proposes a nonlinear system model, which is composed of a linear time-delay dynamic system and a bounded static nonlinear operator. Base on the H∞ performance analysis of this nonlinear model, H ∞ fusion filter is designed for this model with multiple sensors to guarantee the asymptotic stability of the fusion error system and reduce the effect of the noise signals on the filtering error to a lowest level. The parameters of the filter are obtained by solving the eigenvalue problem (EVP). Some delayed (or non-delayed) intelligent systems composed of neural networks or Takagi and Sugeno (T-S) fuzzy models can be transformed into this nonlinear model, then the multi-sensor optimal H∞ fusion filters for them are designed. © 2009 Springer Berlin Heidelberg.