一类关联时滞组合系统的H_∞滤波

针对当输入噪声为有限能量信号时的渐近稳定的线性滤波器的设计问题,基于Lyapunov稳定性理论,结合线性矩阵不等式技术,提出了一类关联时滞组合系统的H_∞滤波器的设计方案,并利用有界实引理给出了滤波器存在的一个充分条件。为了使得滤波器具有良好的稳态性能,考虑了LMI的优化问题。并将滤波器的设计问题转化为具有线性矩阵不等式约束的凸优化求解问题。通过求解一组LMI,可以得到最优滤波器。

H-infinity Filtering for a Class of Interconnected Time-delay Combined Systems

Asymptotic stable linear filtering design problem is considered,when the input noises are limited energy signal.Based on Lyapunov stability theory and linear matrix inequality (LMI),the method of H-infinity filter design is presented.Moreover,a sufficient condition is ob- tained using bounded real lemma.In order to guarantee the excellent steady performance of filters,the optimization of LMI is considered.The filter design problem is converted into a convex optimization problem with LMI.By solving a set of LMIs,the optimal filer can be gained.