Multiple delay-dependent event-triggered finite-time H∞ filtering for uncertain networked random systems against state and input constraints

•There are few tries to investigate a fault detection filter for networked random systems against state with input constraints. The filter can be utilized in more practical constraint circumstances.•Multiple delay-dependent Lyapunov function is designed to obtain stability results with less conservatism.•Both mean-square finite-time boundedness and input-output finite- time mean square stabilization are considered for networked random systems in this paper, which is rarely researched concurrently at present. In this article, multiple delay-dependent event-triggered finite-time H∞ filtering as well as fault-tolerant control is discussed for networked random systems subject to state as well as input constraints. This is the first time to explore fault detection issue via filtering for networked random models. First, an event-triggered scheme is designed. Secondly, a zero order holder is studied. According to this event-triggered mechanism, a fault detection filter, a fault weighting system and a controller are investigated for the networked random system. And then an augmented system can be got. Sufficient conditions of mean-square finite-time boundedness with input-output finite-time mean square stabilization can be provided through the framework of linear matrix inequalities. Finally, these effectiveness and merits are verified by an example.