连续凸多面体不确定系统的鲁棒L_2-L_∞滤波

Robust L_2-L_∞ filtering for polytopic continuous-time uncertain systems

基于新的鲁棒稳定条件,提出了依赖于参数的凸多面体不确定连续系统的鲁棒L2-L∞性能新判据。利用该判据,采用增广线性矩阵不等式技术推导了此类系统的全阶和降阶的鲁棒L2-L∞滤波新方法。与已有的方法相比,所提出的算法具有较低的保守性。数值例子说明了设计方法的有效性。

Based on a new robust stability condition, this paper derives the robust L2-L∞ performance criteria for polytopic continuous-time uncertain systems. The main purpose is to design the systems＇ full and reduced-order robust L2-L∞ filtering via dilated linear matrix inequality （DLMI）, with the result that less conservativeness is achieved compared with earlier results. The numerical examples illustrate the validity of the proposed approach.