基于一个新的鲁棒稳定条件,提出了依赖于参数的凸多面体不确定离散时间系统的鲁棒l_2-l_∞及H_∞性能新判据,利用该判据,采用线性矩阵不等式技术推导了此类系统的鲁棒滤波新方法。该方法通过求解一个凸优化问题设计稳定的全阶滤波器,使相对于所有能量有界的外界扰动信号,滤波误差系统的l_2-l_∞或H_∞性能指标小于一定值,与已有的基于二次稳定的滤波方法相比,所提出的算法具有较低的保守性。 Based on a new condition of robust stability, a new criterion of robust l_2-l_∞ and H_∞ performance for parameter-dependent convex polytopic uncertain discrete-time systems is proposed. By using this criterion, linear matrix inequality A New Robust Filter Method for Class Systems. The method designs a stable full-order filter by solving a convex optimization problem so that the l_2-l_∞ or H_∞ performance index of the filtering error system is less than a certain value relative to all energy-bounded disturbance signals, Compared with the quadratic stable filtering method, the proposed algorithm has low conservativeness.