不确定系统的鲁棒容错H_∞控制

Robust Fault-Tolerant H_∞ Control for Uncertain Linear Systems

针对不确定线性连续系统,研究了执行器失效情况下的鲁棒容错H∞控制问题.利用LMI给出了对任意执行器故障均保持渐近稳定且满足给定干扰衰减指标的鲁棒容错H∞控制器存在的充要条件,进一步给出鲁棒容错最优H∞控制器的优化设计算法.采用所设计的状态反馈控制器,当任意执行器出现故障时,闭环系统仍保持渐近稳定且满足给定的干扰衰减性能指标.

The robust fault-tolerant H∞ control for uncertain linear systems with actuator failures was studied. By means of LMI, the sufficient and necessary condition of robust fault-tolerant H∞ controller in existence was given such that the systems could keep asymptotical stability against actuator failures and satisfy the disturbance attenuation index prescribed. Furthermore, the designing arithmetic method of optimal robust fault-tolerant H∞ controller was provided. Using the state-feedback controller designed, the closed-loop systems can possess integrity against arbitrary actuator failures and have robustness to all admissible uncertainties, and guarantee H∞ performance index prescribed.