着重研究区间系统的鲁棒滤波问题 .通过等价变换 ,将区间系统转换为对应的矩阵范数不确定系统 ,并据此导出区间系统的鲁棒滤波算法 .该算法为一离散验后 ( a posteriori)滤波算法 ,它能保证区间系统的滤波误差有界 .理论分析和实际计算结果表明 ,本算法能达到比验前 ( a priori)滤波小得多的滤波误差的方差上界 The problem of robust filtering in interval systems is emphatically studied, and the interval system is transformed into the corresponding matrix norm-uncertainty system by equivalent transformation, and the robust filtering algorithm of interval systems is deduced.The algorithm is a discrete-time (a posteriori filtering algorithm, which can guarantee the boundedness of the filtering error of the interval system.Theoretical analysis and practical calculation results show that the proposed algorithm can achieve a much smaller variance upper bound of the filtering error than the a priori filter