Fault detection for singular switched linear systems with multiple time-varying delay in finite frequency domain

作者：Zhai, Ding^*; Lu, Anyang; Li, Jinghao; Zhang, Qingling

来源：International Journal of Systems Science, 2016, 47(13): 3232-3257.

DOI：10.1080/00207721.2015.1112932

• Multiple time-varying delay
• fault detection filter
• finite frequency
• continuous-time singular switched linear systems
• linear matrix inequalities

This paper deals with the problem of the fault detection (FD) for continuous-time singular switched linear systems with multiple time-varying delay. In this paper, the actuator fault is considered. Besides, the systems faults and unknown disturbances are assumed in known frequency domains. Some finite frequency performance indices are initially introduced to design the switched FD filters which ensure that the filtering augmented systems under switching signal with average dwell time are exponentially admissible and guarantee the fault input sensitivity and disturbance robustness. By developing generalised Kalman-Yakubovic-Popov lemma and using Parseval's theorem and Fourier transform, finite frequency delay-dependent sufficient conditions for the existence of such a filter which can guarantee the finite-frequency H- and H-infinity performance are derived and formulated in terms of linear matrix inequalities. Four examples are provided to illustrate the effectiveness of the proposed finite frequency method.

• 出版日期2016
• 单位东北大学