一类不确定线性系统容错保成本控制器设计

Guaranteed cost fault-tolerant control for a class of uncertain linear system

考虑了具有参数不确定性的线性定常系统,研究了带有执行器故障和不确定性扰动的保成本容错控制问题。在考虑更一般、更实际的执行器故障模型的基础上,给出了系统鲁棒稳定及容错保成本控制器存在的充分条件。通过求解代数Ricatti方程完成动态反馈控制器的设计。仿真实例验证了所得结果的可行性。比较不考虑故障的控制器与考虑故障的容错控制器的控制效果,进一步说明了对系统进行容错控制的必要性。

For a class of uncertain linear systems, the fault-tolerant design problem of guaranteed cost is presented against the actuator faults. A more practical and general model of actuator faults than outage is considered. The resulting control systems are reliable in that they provide guaranteed stability and cost performance, not only when all actuators are operational, but also when some actuator faults occur. Base on Ricatti equation, a sufficient condition for the existence of reliable control is given. The simulation results show the effectiveness of the design method. Furthermore, the standard system and the fault-tolerant system are compared to show the necessity of reliable control.\;