带有时滞和非线性扰动的中立系统的H_∞滤波设计

H_∞ filtering for neutral systems with time-varying delays and nonlinear perturbations

主要讨论带有混合时滞和非线性扰动的不确定中立型系统的H∞滤波设计问题。基于带有混合时滞和非线性扰动,构造了新颖的李雅普诺夫泛函,继而得到了一个新的中立型系统鲁棒稳定的延迟相关条件。通过采用线性矩阵不等式、Lyapunov稳定性理论及凸组合方法获得了具有更小保守性的结果。在满足H∞性能指标条件下,提出了一些新的滤波器存在的充分条件,使得滤波误差系统是渐近稳定的。为了方便使用MATLAB软件解答,将结果用线性矩阵不等式的形式给出,利用LMI工具箱进行求解,最后得到相应数据。和已有的文献相比,该方法得到的判据具有较小保守性。最后通过数值例子验证了该方法的有效性和优越性。

The problem of H∞filtering for uncertain linear neutral systems with mixed timevarying delays and nonlinear perturbations is discussed in this paper.Based on the mixed timevarying and nonlinear pertuibations,a novel Lyapunov functional is constructed.A new delaydependent stability criterion is derived to guarantee the robust stability of the neutral system.The Lyapunov Krasovskii stability theory and LMI technique and the convex combination technique are adopted to reduce the conservatism of obtained results.Some new delay-dependent sufficient conditions are presented to ensure that the filtering error system is asymptotically stable with a prescribed level of H∞ noise attenuation.In order to use MATLAB toolbox,the study changes the stability criterion into linear matrix inequality,and gets the corresponding date.The method to get the criterion is more conservative compared with the existing literature.Finally,one numerical example is given to illustrate the effectiveness of the proposed method.