线性不确定系统的容错控制

Fault-Tolerant Control of Linear Systems with Uncertainties

利用H∞ 鲁棒控制的成果 ,对一类线性不确定系统提出了一种新的鲁棒容错控制器设计方法·当传感器和执行器在指定子集内发生故障且存在对象扰动和测量噪声情况下 ,不确定性具有范数有界时 ,通过构造确定性的辅助系统 ,求解Hamilton Jacobi不等式 (HJIs)的正定解 ,设计了容错鲁棒控制器·该控制器对传感器和执行器故障具有完整性 ,对扰动和不确定性具有鲁棒性 ,确保了闭环系统渐近稳定和H∞ 性能·结果表明该方法为解决一类线性不确定性系统的容错控制问题提供了一条新的途径·

A new design method for robust fault tolerant controller of an uncertain linear system was put forward by using H ∞ robust control results. When some sensor and actuator are fault within a pre specified subset of sensors and actuators, have the plant disturbance and measurement noise,and the uncertainties of the system are of norm bounded,a robust fault tolerant controller is designed by constructing an auxiliary system without uncertainties in the term of positive define solution of Hamilton Jacobi inequalities(HJIs). The controller is not only integrity against sensor and actuator fault, but also robustness in the presence of plant disturbance and measurement noise,and guarantees the robust asymptotic stability and H ∞ performance of the close loop system. The controller presents a new way to solve fault tolerant robust control problem of the linear system with uncertainties.