【摘要】 研究一类中立时滞微分系统的无偏H∞滤波问题.基于线性矩阵不等式技术设计无偏H∞滤波器,使得滤波误差系统是渐进稳定的,同时满足其传递函数的H∞范数最小或小于某一给定的正数γ.同标准的H∞滤波方法相比,无偏H∞滤波方法简化了滤波器的设计过程,而且滤波误差系统的稳定性独立于中立时滞微分系统.仿真结果表明该方法的有效性和可行性.更多还原

【Abstract】 This paper considers the unbiased H_∞ filtering for a class of linear neutral delay differential systems. A linear matrix inequality approach is proposed to design an unbiased H_∞ filter, so that the filtering error system is asymptotically stable and the H_∞ norm of the transfer function of error system is minimized or less than a positive scalar γ. Compared to standard H_∞ filtering approach (without the unbiased condition), the unbiased H_∞ filtering approach simplifies the designing procedure, and the resulting error system is internal stable, independent of the stability of the original system. The simulation example proves that the method is effective and feasible.更多还原