具有测量数据随机丢失的l_2-l_∞滤波器型迭代学习控制

Iterative learning control based on l_2-l_∞ filter for stochastic systems with missing measurements

研究了具有测量数据随机丢失的一类离散系统的滤波器型迭代学习控制.采用满足Bernoulli分布的二进制序列来描述数据传输的随机丢失,利用线性矩阵不等式方法,设计具有随机丢失系统的l2-l∞滤波器,给出滤波误差系统均方指数稳定且具有给定的l2-l∞性能的充分条件,和滤波器型迭代学习控制收敛的充分条件.仿真实例说明了该设计方法的有效性.

This paper deals with the problem of the ILC based on l2-l∞ filter for stochastic discrete - time systems with missing measurements. The random missing measurements are described by a binary switching sequence satisfying a conditional probability distribution. One purpose is to obtain 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 （LMI）. The other purpose is to design the ILC based on filter. The simulation results show the validity of the proposed design approach.