Finite-time robust fault detection filter design for interconnected systems concerning with packet dropouts and changing structures

ABSTRACT

This paper studies the problem of finite-time robust fault detection filter design for interconnected systems with packet dropouts and changing structures. There are some packet dropouts occurring in the network before transmitting to the robust fault detection filter. Different from previous results, taking cases of randomly disconnected interconnections among these subsystems into account, a switched scheme is introduced to address the problem of failed interconnection. Meanwhile, an arbitrary switching signal is introduced to denote which one subsystem is activated at the instant of disconnection of interconnection. The filter is designed to guarantee the finite-time boundedness and the achievement of the $H_{\mathrm{\infty }}$ performance to the fault detection system. Sufficient conditions on the existence of desired filter are presented in term of feasible linear matrix inequalities by using the switched Lyapunov functional approach based on stochastic functional. Two examples are finally given to show the effectiveness of our method.

KEYWORDS:

• Fault detection
• interconnected systems
• finite-time boundedness
• packet dropout
• arbitrary switching signal

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [61503071], Natural Science Foundation of Jilin Province [20180520211JH] and Science Research of Education Department of Jilin Province [201693, JJKH20170106KJ].