一类线性系统区域极点配置静态输出反馈可靠控制

A Class of Linear Systems Regional Pole Assignment Static Output Feedback Reliable Controller

考虑连续线性系统,在连续增益故障模型的前提下,提出带有执行器故障的圆形区域极点配置的静态输出反馈的可靠控制问题。本文利用线性矩阵不等式(LMI)在考虑执行器故障模型的基础上,给出圆形区域极点配置的静态输出反馈的可靠控制器存在的充分条件。通过成果的仿真,并进一步说明当系统发生故障时,正常控制的闭环系极点可能离开所给定的圆形区域,而可靠控制的闭环系统仍然会保持极点在给定的圆形区域内。从而看出对系统进行极点配置的静态输出反馈的可靠控制的必要性。

Considering the continuous linear system, on the premise of continuous gain fault model, we put forward the circular area with actuator failure of static output feedback pole assignment problem of reliable control. In this paper, based on the linear matrix inequality （LMI）, and considering actuator failure model, the circular regional pole assignment was given a sufficient condition for the existence of the static output feedback reliable controller. The simulation results show that, when the system failure occurs, the reasonable control of the closed-loop system poles may leave the given circular area, and reliable control of the closed-loop system will remain on the pole in the given circular area. So it＇s necessary that the static output feedback pole assignment is carried out on the system of reliable control.