不确定系统静态输出反馈可靠控制

Static Output Feedback Reliable Control with Uncertain Systems

针对含有状态不确定项的线性系统,提出具有执行器故障的静态输出反馈控制问题。首先给出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。最后,数值仿真验证了本文结果的有效性。

For linear systems with uncertainties of state,this paper proposed a static output feedback control with actuator failure.Firstly,a sufficient condition of asymptotic stability was presented in designing the controller when the fault was not considered.Then we discussed the instability of the system when the fault occurred for the same system and controller.Next,for the same fault model,we redesigned the static output feedback controller to make the system remain asymptotically stable after the fault occurred.A simulation example was given to illustrate the feasibility and effectiveness of the results.