不确定时变时滞中立系统的鲁棒H_∞滤波器设计

Design of robust H_∞ filter for uncertain systems with time-varying delays

研究带有时变状态滞后和时变中立滞后的不确定系统的鲁棒H∞滤波器设计问题,讨论的不确定项是范数有界的.设计一个满阶滤波器,使得对于所容许的不确定性和时变滞后,滤波误差动态系统是渐近稳定的且满足描述的H∞性能水平.使用LM I方法得到了要求的H∞滤波器存在的充分条件,同时给出了相应的鲁棒H∞滤波器.通过数值算例验证了这种方法的有效性.

The problem of robust H∞ filter for uncertain systems with time-varying state delays and time-varying neutral delays is considered.The uncertainties are norm bounded.The purpose is to design a full filter such that the filtering error dynamic system is asymptotically stable and satisfies a prescribed H∞ performance level,for all admissible uncertainties and time-varying delays.A sufficient condition for the existence of H∞ filter is obtained by solving certain linear matrix inequalities and the corresponding robust H∞ filter is given.At last the effectiveness of the proposed design method is demonstrated by a numerical example.