中文摘要：

主要研究在任意切换序列下，具有不确定性的时滞离散切换系统的H∞滤波问题。根据Lyapunov稳定性理论，首先针对标称系统，给出了能够保证滤波器误差方程渐进稳定的充分条件，然后考虑不确定性，利用Schur补引理，给出切换系统H∞滤波器的存在条件。仿真结果说明了方法的可行性和有效性。

英文摘要：

H∞ filters is designed for switched discrete - time systems with uncertainties and time - delays under arbitrary switching sequences. According to Lyapunov theory, a sufficient condition guaranteeing the error systems of the filters to be asymptotically stable is developed without uncertainties. Then, by utilizing a lemma and the Schur complement formula, an existing condition of the robust H∞ filters for the switched systems is given. Finally, simulation results illustrate the feasibility and advantage of the robust H∞ filters.