部分测量数据丢失的网络化系统的l_2-l_∞滤波

l_2-l_∞filtering for networked systems with missing measurements

在网络系统中,滤波器得到的观测量通过有限带宽的通道进行传送可能发生丢失.本文研究一类具有测量数据部分丢失的网络化系统的l2-l∞滤波器设计问题.测量数据的丢失采用已知概率分布的二进制切换序列来描述.利用线性矩阵不等式方法,设计全阶和降阶滤波器.所设计的滤波器使得滤波误差系统均方指数稳定,而且保证相对于所有有界的外界扰动信号,滤波误差系统具有一定的l2-l∞扰动衰减水平.数字仿真表明设计方法的有效性.

In networked systems, observation data transmitted to the estimator through limited bandwidth channels may be lost. The problem of l2-l∞ filter design is addressed for networked systems with missing measurements. The missing measurements are described by a binary switching sequence satisfying a conditional probability distribution. The main purpose is to obtain both full- and reduced-order filters such that the filter error systems are exponentially mean-square stable and guarantee a prescribed energy-to-peak disturbance attenuation level in term of linear matrix inequalities （LMIs）. An illustrative numerical example is provided to demonstrate the usefulness and flexibility of the proposed design approach.