Abstract
This paper is concerned with robust H∞ filter design for a class of linear distributed delay systems with norm-bounded time-varying parameter uncertainties. The distributed delays are assumed to appear in both state and measurement equations. A new design method is proposed by introducing some relaxation matrices and tuning parameters, which can be chosen properly to lead to a less conservative result. A sufficient condition is obtained to guarantee the existence of desired H∞ filters, which can be constructed by solving a convex optimization problem. A numerical example is included to illustrate the effectiveness and the reduced conservatism of the proposed design technique.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding authors
Rights and permissions
About this article
Cite this article
Wu, L., Shi, P., Gao, H. et al. A New Approach to Robust H∞ Filtering for Uncertain Systems with Both Discrete and Distributed Delays. Circuits Syst Signal Process 26, 229–248 (2007). https://doi.org/10.1007/s00034-006-0226-z
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00034-006-0226-z