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Robust Fault Estimation Based on Proportional Differential (PD) Learning Observer for Linear Continuous-time Systems with State Time-varying Delay

Fuqiang You and Chao Wang*
International Journal of Control, Automation, and Systems, vol. 20, no. 1, pp.58-72, 2022

Abstract : This article studies the fault estimation problem of linear systems with unkown state time-varying delay. A new PD learning observer (LO) is proposed to realize the simultaneous estimation of system states and actuator fault. Furthermore, the time-delay dependence criterion of the existence of the proposed observer is given through the technique of linear matrix inequalites (LMIs). Because the mismatch between the original system and the observer system in the time delay term has a bad influence on the fault estimation, the H∞ performance index is introduced. At the same time, the problem of sensor fault estimation based on PD learning observer for time-delay systems is studied. Finally, three simulation examples are used to prove the effectiveness of the proposed method.

Keyword : Fault estimation, H∞ performance index, linear continuous-time systems, linear matrix inequalities, PD learning observer.

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