线性不确定系统的鲁棒容错H∞控制设计

研究了线性不确定系统的鲁棒容错H∞控制问题.当系统既有状态滞后,又有控制输入滞后,而且状态和控制输入的不确定项均满足匹配条件时,运用线性矩阵不等式(LMI)方法,提出了一种针对不确定系统的鲁棒容错反馈控制设计方法.利用该方法设计的闭环系统,不仅在传感器发生故障时具有完整性,而且对于系统的参数不确定性具有鲁棒性.以设计实例及仿真结果验证了这种方法的有效性.

Design of robust fault-tolerant H∞ control for linear uncertain systems

The problem of robust fault-tolerant control for linear uncertain systems is studied. The system considered has uncertainties and delays in both state and control input, and the admissible parameter uncertainties satisfy the matching conditions. The design method of the robust fault-tolerant state feedback controller for a class of uncertain systems is given by using linear matrix inequality. The proposed closed-loop systems based on this design method remain intact in the case of sensor faliures and robust in the presence of parameter uncertainties. An illustrative example and the simulation results are given to demonstrate the effectiveness of the proposed design method.