不确定时滞中立系统的鲁棒H_∞滤波

Robust H_∞ Filtering for Neutral Systems with Time-delay and Parameter Uncertainties

研究一类噪声干扰信号和被估计信号带有参数不确定性时的时滞中立系统的鲁棒H∞滤波设计问题。假设参数不确定性具有线性分式形式,给出的滤波器使误差系统渐近稳定且达到指定的干扰抑制水平。该方法将系统中的范数有界不确定作外部干扰处理,将不确定中立系统的鲁棒H∞滤波问题转化为确定系统的H∞滤波设计。最后通过解线性矩阵不等式得到可采用的滤波器。仿真例子验证所得结果的有效性。

The design prolbem of robust H∞ filtering for time-delay neutral systems is considered when the parameteres of the noise signal and the estimated signal is uncertain. The uncertainties are in a fractional form. The designed full-order filter guarantees the robust asymptotic stability and the prescribed disturbance attenuation level for the error system. The norm-bounded uncertainty is regarded as exogenous disturbance and then for uncertain systems the robust H∞ filtering problem can be solved in terms of a scaled H∞ filtering problem without uncertainties. The admissible filtering can be obtained by solving certain linear matrix inequalities. The numerical example shows the effectiveness of the proposed design approach.