Distributed H∞ filtering of nonlinear systems with random topology by an event-triggered protocol

Applying an event-triggered protocol, this paper proposes a distributed H-infinity filter design for nonlinear perturbed systems under fading measurements with random topology. Nonlinearities in this system obey the one-sided Lipschitz constraint, which embraces the conventional Lipschitz condition as a special case. The sensor network allows random variations of the interconnection strengths between adjacent nodes, and the connection coefficient is determined as the product of a constant and a stochastic variable with a known probabilistic feature. To reduce the unnecessary data transmission and efficiently use the limited bandwidth, the transmissions are orchestrated by an event-triggered regulating strategy. A stochastic bounded real lemma is established for the resulting error dynamics. Based on the presented matrix decomposition, which removes the direct coupling between the statistical information of interconnection strengths and the filter gain, the distributed H-infinity filter gain can be explicitly expressed and easily solved. The usefulness of the theoretical method is demonstrated in a simulation study.

Automated summary

This paper proposes a distributed H-infinity filter design for nonlinear perturbed systems under fading measurements with random topology using an event-triggered protocol. The system's nonlinearities obey the one-sided Lipschitz constraint, allowing random variations of interconnection strengths and utilizing an event-triggered regulating strategy to reduce unnecessary data transmission and efficiently use limited bandwidth.