Further improved results on H∞ filtering for discrete time-delay systems

Authors:
Jia You;Huijun Gao;Michael V. Basin
Affiliations:
Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Heilongjiang, China;Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Heilongjiang, China;Autonomous University of Nuevo Leon, Mexico
Venue:
Signal Processing
Year:
2013

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Abstract

This paper investigates the H"~ filtering problem for a class of discrete-time systems with time-varying delay. A model transformation is first applied by employing a two-term approximation for delayed state variables, which has a smaller approximation error than the other one-term approach. By using Scaled Small Gain Theorem and Lyapunov-Krasovskii functional approach, sufficient conditions are provided for the stability of the filtering error system with a prescribed H"~ performance level. In addition, sufficient conditions for the existence of the H"~ filters are established which are less conservative than the existing results in the literature. Finally, numerical examples are provided to illustrate effectiveness of the proposed filtering scheme.