一类时滞切换奇异系统的指数H_∞滤波器研究

Study on Exponential H∞ Filter Design for Class of Time-Delay Switched Singular System

研究了一类时滞切换奇异系统的指数H∞滤波问题。为了提高控制系统的稳定性,解决系统的指数H∞滤波的难点问题,提出利用平均驻留时间方法,首先给出了使得滤波误差系统在切换信号下具有指数可容许性并且具有相应的H∞性能指标的条件,然后以一组线性矩阵不等式的形式给出了期望滤波器存在的充分条件,并给出了相应的滤波器参数求解。所设计的指数H∞滤波器不但保证系统参数不确定时闭环系统指数稳定,而且满足所期望的H∞性能指标。最后用数值仿真实例来说明设计方法的有效性和可行性。

The problem of the exponential H∞ filtering design for time-delay switched singular system was addressed to improve the stability and resolve the hard problem of exponential H∞ filter, thus, an approach based on average dwell time was presented, Firstly, a sufficient condition for the exponential admissibility and the H∞ performance for the filtering error system under the switching signal were proposed. Then, in terms of LMIS, a sufficient condition for existence of the desired filter was given and the filter parameters were solved as well. The exponential H∞ filter was designed not only to guarantee the closed-loop system with uncertain parameter to be exponential stable, but also to satisfy the expected H∞ performance. Finally, a simulation example was given to illustrate the effectiveness and feasibility of the proposed method.