基于PI 观测器的奇异摄动系统故障诊断和最优容错控制

针对线性奇异摄动系统, 提出一种基于PI (proportional integral) 观测器的故障诊断和最优容错控制方法. 基于奇异摄动系统相关理论和矩阵变换技术, 给出PI 全维观测器存在的条件, 该观测器可以观测系统的快慢状态和故障系统的状态. 在估测到系统状态的基础上进一步考虑最优性, 应用最优控制理论, 设计状态反馈控制器, 提出基于PI 观测器的故障诊断器和最优容错控制器的设计方法. 最后的数值算例验证了所提出方法的可行性和正确性.

Fault diagnosis and optimal fault-tolerance control of singularly perturbed system based on PI observer

A fault diagnosis method and an optimal fault tolerant control method for singularly perturbed systems based on proportional integral(PI) observer are proposed. Firstly, a condition for the existence of the PI observer is given in light of the singularly perturbed system theory and the matrix transformation technique. This observer can detect the fast-slow state and the state of fault system as well. Moreover, a state feedback controller is designed by using the optimal control theory. And the fault diagnosis method and the optimal fault tolerant control method can be obtained based on the PI observer. Finally, two numerical examples are used to illustrate the effectiveness and correctness of the proposed approach.