该文研究一类不确定参数的状态反馈系统的鲁棒容错控制问题,即设计反馈控制器,使闭环系统对可允的参数摄动具有鲁棒性,同时对传感器失效具有完整性。采用Luenberger降维观测器实现了系统状态估计,解决了系统状态不易直接测得的问题。基于Riccati方程和Lyapunov渐近稳定性理论讨论了线性不确定系统在故障情况下的鲁棒镇定问题,给出了传感器失效情况下,系统仍能保持稳定的充分条件,并在此基础上给出了鲁棒容错控制器的设计方法,以设计实例说明了文中设计方法的有效性。
The problem of robust fault- tolerant control for state feedback systems with uncertain parameters is studied. The purpose is to design the feedback controllers so that the closed - loop systems possess robustness for the case of parameter perturbations, and possess integrity for the case of sensor failures. A Luenberger reduced order observer is used to realize the state feedback because the states of the linear system can not be observed directly, Based on Riccatic equation approach and Lyapunov method, a sufficient condition of robust stability for uncertain linear system with sensor failures is presented, based on it a design method of robust fault tolerant controller is given. A design example is used to demonstrate the effectiveness of the presented design method.