不确定线性系统区域极点配置静态输出反馈可靠控制

对含有状态不确定项的线性系统,在连续增益故障模型的基础上,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.首先给出了在不考虑故障时设计控制器使系统保持渐近稳定的充分条件;然后讨论了对于同一系统同一控制器在考虑执行器故障时系统出现不稳定;接下来,针对同一故障模型重新设计静态输出反馈控制器使系统在发生故障后仍保持渐近稳定.利用线性矩阵不等式(LMI),在考虑执行器故障模型的基础上,给出了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.仿真结果进一步说明当系统发生故障时,正常控制的闭环系统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.

Uncertain Linear Systems Reliable Regional Pole Assignment Static Output Feedback Control

To contain state uncertainties of linear system,on the premise of continuous gain fault model,put forward the circular area with actuator failure static output feedback pole assignment problem of reliable control.First of all,the designed controller without considering fault to keep system sufficient conditions for the asymptotic stability of; Then the same controller for the same system was discussed when considering actuator fault system instability; Next,in view of the same fault model to static output feedback controller is designed to make system remains asymptotically stable after failure. In this paper,based on the linear matrix inequality( LMI),on the basis of considering actuator failure model,circular regional pole assignment is given a sufficient condition for the existence of the static output feedback reliable controller. Through the results of the simulation,and further shows that when a system failure occurs,the reasonable control of the closed-loop system poles may leave a given by the circular area,and reliable control of the closed-loop system will remain on the pole in a given circular area.To see the static output feedback pole assignment was carried out on the system of the necessity of reliable control.