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 Hinfin 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.
American Control Conference
Permitted by IEEE: http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5159948
Abdallah, Chaouki T.; Renato A. Borges; Ricardo C.L.F. Oliveira; and Pedro L.D. Peres. "H? filtering of networked systems with time-varying sampling rates." American Control Conference (2009): 3372-3377. doi:10.1109/ACC.2009.5159948.