H∞filtering of networked systems with time-varying sampling rates

Authors:
Renato A. Borges;Ricardo C. L. F. Oliveira;Chaouki T. Abdallah;Pedro L. D. Peres
Affiliations:
Electrical and Computer Engineering Department, University of New Mexico;School of Electrical and Computer Engineering, University of Campinas, Campinas, SP, Brazil;Electrical and Computer Engineering Department, University of New Mexico, Albuquerque, NM;School of Electrical and Computer Engineering, University of Campinas, Campinas, SP, Brazil
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

Citing 9
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Abstract

In this paper, the problem of robust filter design for networked systems with time-varying sampling rate is investigated. The design conditions are obtained by using the Lyapunov theory and the Finsler's Lemma. A robust filter, that minimizes an upper bound to the H∞ performance of the estimation error, is obtained as the solution of an optimization problem. A path-dependent Lyapunov function is used in order to obtain less conservative design conditions. Robust filters based on affine parameter-dependent Lyapunov functions can be obtained as a particular case of the proposed method. Numerical examples illustrate the results.