Adaptive fault estimation for descriptor systems with time-varying delays in Finite Time

Inhalt:
This paper studies the problem of fast and accurate fault estimation for a class of descriptor systems with time-varying delays based on an adaptive finite time robust observer. This descriptor system is detectable, and time-varying delay is considered in finite time. Based on this model, the AFTRO is proposed. This observer has a non-singular structure which is easier to calculate, and by the adaptive algorithm, the fast fault estimation is implemented. Disturbance of the descriptor systems is considered, and finite time boundness of the observer is analyzed. Meanwhile, considering the accurate fault estimation, the robustness of the estimation error to the fault is guaranteed by H infinite technology in finite time. Sufficient conditions for the existence of the observer is proved, and using the LMI technology, the calculation of the constraint matrices of the observer is formulated as an optimization problem. Simulation example as three machine bus is given, and the simulation results are presented to illustrate the efficiency of the proposed method.