Delta算子系统基于输出反馈的鲁棒协方差控制

Robust covariance output feedback controllers design for Delta operator systems

研究Delta算子描述的线性不确定系统基于输出反馈的鲁棒协方差控制问题,即设计输出反馈控制器,使Delta算子不确定系统鲁棒稳定,且稳态输出协方差矩阵具有给定上界。利用线性矩阵不等式(LMI)方法,给出Delta算子不确定系统输出反馈鲁棒协方差控制器存在的充分条件,并在此基础上,提出Delta算子不确定系统输出反馈鲁棒协方差控制器设计算法。数值算例表明设计方法的可行性。

The problem of robust covariance control for the delta operator formulated linear uncertain systems based on output feedback is studied. The aim is to design an output feedback controller such that the delta operator uncertain system is robustly stable, and the output covariance matrix is less then a given positive definite matrix. Based on linear matrix inequality （LMI） approach, an existence condition of the robust covariance output feedback controller for the delta operator uncertain system is given, and then the design procedure of the controller is suggested. A numerical example is provided to illustrate the design method.