WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 20, 2021
Stability Analysis and Robust H∞ Filtering for Discrete-time Nonlinear Systems with Time-varying Delays
Authors: ,
Abstract: In this paper, we investigate the problem of robust H∞ filter design for a class of discrete-time nonlinear systems. The systems under consider involves time-varying delays and parameters uncertainties. The main objective is to design a linear full-order filter to ensure that the resulting filtering error system is asymptotically stable with a prescribed H∞ performance level. By constructing an appropriate Lyapunov-Krasovskii functional, some novel sufficient conditions are established to guarantee the filter error dynamics system is robust asymptotically stable with H∞ performance γ , and the H∞ filter is designed in term of linear matrix inequalities. Finally, a numerical example is provided to illustrate the efficiency of proposed method.
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Keywords: Filtering, Lyapunov-Krasovskii functional, discrete-time systems, H∞ performance, time-varying delays
Pages: 281-288
DOI: 10.37394/23202.2021.20.31