离散切换系统H_∞非脆弱滤波器设计

Nonfragile H_∞ filter design for discrete-time switched systems

研究离散线性切换系统非脆弱H_∞滤波器设计问题,假设滤波器增益含有区间不确定性,采用平均驻留时间技术,并利用LMIs给出非脆弱H_∞滤波器的设计方案。当采用经典的顶点方法时,需要求解的LMI数量呈指数级增长,系统维数较高时,可能超过当前的运算能力,故提出一种明确有效的概率算法。预先制定的概率水平可以保证鲁棒性,并给出为达到所需概率水平而需要的采样数量。该算法可以显著减少参与设计的LMI的数量。最后用数值仿真证明了方法的有效性。

This paper concerned with the problem of nonfragile H∞filter design for the discrete-time switched linear systems.It supposed that the filter had interval-type gain variation.By adopting the average dwell time approach and linear matrix inequalities(LMI)technique,this paper proposed a nonfragile H∞filter design scheme.The amount of LMI grew exponentially when used classic vertex approach.For high dimensional systems,it might exceed the processing capacity of MATLAB LMI toolbox.Thus,it presented an efficient probability algorithm,and found the bound on the number of samples required to attain a-priori specified level,and to guarantee the robustness.The proposed algorithm can significantly reduce the amount of involved LMI.Finally,a numerical example illustrates the effectiveness of the proposed algorithm.