Guaranteed Fault-estimation Algorithm Based on Interval Set Inversion Observer Filtering

A guaranteed fault-estimation algorithm based on interval set inversion observer filtering is proposed for linear discrete-time systems with unknown but bounded disturbance and noise. The minimal conservative interval observer is designed by minimizing the F-norm of the state error. Vector Boolean operations and dimensional operations are used to develop a new interval set inversion algorithm to further contract the guaranteed interval estimation results of the observer. The computational complexity, memory requirements, and accuracy of the proposed algorithm are also analyzed. Finally, simulation examples are provided to verify the efficiency and practicability of the proposed algorithm.

Automated summary

A fault estimation algorithm based on interval set inversion observer filtering for linear discrete-time systems with unknown but bounded disturbance and noise is proposed. The algorithm minimizes the F-norm of the state error to design a conservative interval observer. Vector Boolean operations and dimensional operations are used to contract the guaranteed interval estimation results of the observer. The computational complexity, memory requirements, and accuracy of the algorithm are also analyzed.