双时滞系统的故障诊断和动态最优容错控制

Fault diagnosis and dynamic optimal fault-tolerant control for systems with double time-delays

中文关键词  时滞系统  故障诊断  容错控制  降维状态观测器  线性变换  最优控制

英文关键词  time-delay systems  fault diagnosis  fault-tolerant control  reduced-order state observer  linear transformation  optimal control

中文摘要

      对含有状态时滞和控制时滞的线性时滞系统, 研究系统发生不可直接测量的传感器故障和执行故障时的故障诊断和最优容错控制问题. 首先基于时滞系统的线性变换, 利用Riccati矩阵方程和Sylvester方程设计了故障情况下的最优容错控制律, 并证明了最优容错控制律的存在唯一性. 然后通过构造一种新的含有故障的增广系统的降维状态观测器, 实现了故障的实时在线诊断和系统状态的观测, 解决了最优容错控制的物理不可实现问题. 最后利用故障诊断的结果给出了物理可实现的动态最优容错控制律. 仿真实例验证了故障诊断方法和动态最优容错控制方法的可行性和有效性.

英文摘要

      Fault diagnosis and optimal fault-tolerant control are studied for linear systems with time-delays in both control vector and state vector, when unmeasured actuator faults and sensor faults occur in the systems. Based on the linear transformation of time-delay systems, the optimal fault-tolerant control law for the faulty system is designed by utilizing Riccati matrix equation and Sylvester equation, and the existence and uniqueness of the optimal fault-tolerant control law is proved. The real-time and on-line fault diagnosis and the observation of system states are realized by constructing a new reduced-order state observer for the augmented system with faults, and the physically unrealizable problem is solved. Finally, the physically realizable dynamic optimal fault-tolerant control law is obtained by utilizing the results of fault diagnosis. Simulation example has demonstrated the feasibility and validity of the proposed fault diagnosis scheme and the dynamic optimal fault-tolerant control scheme.