H∞ Filtering for Discrete-Time Stochastic Systems with Nonlinear Sensor and Time-Varying Delay

الملخص EN

The H∞ filtering problem for a class of discrete-time stochastic systems with nonlinear sensor and time-varying delay is investigated.

By using the Lyapunov stability theory, sufficient conditions are proposed to guarantee the asymptotical stablity with an prescribe H∞ performance level of the filtering error systems.

These conditions are dependent on the lower and upper bounds of the discrete time-varying delays and are obtained in terms of a linear matrix inequality (LMI).

Finally, two numerical examples are provided to illustrate the effectiveness of the proposed methods.