New results on H∞ filter design for time-delayed discrete-time system with nonlinear sensors

This paper investigates the filtering problems of the time-delayed discrete-time systems with saturation nonlinear sensors, in which process and measurement noise have unknown statistic characteristic but bounded energy. Base on the H_∞ performance analysis of filtering error systems, the filters are well designed for the discrete-time systems with time delays and saturation nonlinear sensors to guarantee the asymptotic stability of the error systems and reduce the effect of the noise signals on the filtering error to the lowest level. A numerical example is given to demonstrate the effectiveness and applicability of the proposed design approaches.