线性系统的故障检测和最优容错控制

针对系统中含有执行器故障和传感器故障的情况,研究了线性系统的故障检测和最优容错控制问题。利用Riccati矩阵方程和Sylvester方程设计了故障情况下的动态最优容错控制律,并设计了能同时检测出故障状态和系统状态的增广的降维故障检测器,解决了最优控制中故障状态的物理不可实现问题,从而实现了系统的故障检测和容错控制并能满足二次型性能指标。仿真实例验证了这种故障检测方法和最优容错控制的有效性。

Fault Detection and Optimal Fault-tolerant Control for Linear Systems

The fault detection and the optimal fault-tolerant control problems were studied for linear systems with actuator fault and sensor fault. Dynamic optimal fault-tolerant control law for faults was designed by utilizing Riccati matrix equation and Sylvester equation, and an augmented reduced order fault observer was designed which could detect the state of fault and the state of system at the same time, which solved the physically unrealizable problem of fault state in optimal control, so the fault detection and fault-tolerant control of system were realized and the quadratic performance index was satisfied. Simulation example demonstrates the effectiveness of the fault detection scheme and the optimal fault-tolerant control.