广义系统的H_2次优控制问题的一个LMIs条件

An LMIs Condition of the H_2 Suboptimal Control Problem for Descriptor Systems

研究具有动态输出反馈的连续广义系统的H2次优控制问题.在H2范数的时域计算方法的基础上,关于连续广义系统进行了H2次优性能分析,得到了满足H2次优性能的线性矩阵不等式组的充要条件.其次,利用线性矩阵不等式(LMI)方法设计了H2次优动态输出反馈控制器.最后,通过数值例子进一步说明了该文的设计方法.

The H2 suboptimal control for continuous-time descriptor systems with dynamic output feedback is studied. Based on the time domain method of computing H2 norm, H2 suboptimal performance analysis for the descriptor systems is presented. The necessary and sufficient conditions of the linear matrix inequalities that make the above systems satisfy the H2 suboptimal performance are obtained. An H2 suboptimal dynamic output feedback controller for continuous-time descriptor systems is designed using linear matrix inequality (LMI) approach. Finally, a numerical example is given to illustrate the design method.