Robust fault estimation observer in the finite frequency domain for descriptor systems

ABSTRACT

This paper considers robust fault estimation in the finite frequency domain for linear continuous-time descriptor systems. Based on state augmentation, we propose a fault estimation observer with a non-singular structure. To attenuate the effect of unknown disturbance and fault variation on fault estimation, a fault estimation observer is designed in the finite frequency domain using H _∞ optimisation technique. With the design conditions formulated as a set of linear matrix inequalities, the presented fault estimation observer can be efficiently designed. The applicability of the proposed method is verified by numerical simulations of a multi-machine infinite bus system.

KEYWORDS:

• Descriptor system
• fault estimation observer
• finite frequency domain
• linear matrix inequalities

Acknowledgments

The authors would like to thank the anonymous reviewers for their help remarks, which helped to improve the quality of this paper

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

Natural Science Foundation of China [grant number 61403104], [grant number 61773145], [grant number U1509217] and the Australian Research Council [grant number DP170102644].