首页|Stability analysis and robust H_∞ filtering for discrete-time nonlinear systems with time-varying delays
Stability analysis and robust H_∞ filtering for discrete-time nonlinear systems with time-varying delays
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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 H_∞ with 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.