Finite-Time Distributed Filtering for Multi-Rate Nonlinear Systems Suffering From Denial-of-Service Attacks: A Binary Encoding Scheme

This paper is concerned with filtering problem related to multi-rate systems in sensor networks suffering from denial of service attacks under binary encoding scheme. Binary encoding scheme is used for scheduling the transmission of innovation between sensor nodes due to limited bandwidth. Random bit error is considered in order to reflect the existence of binary bit flipping during actual channel transmission. A switching-model approach is adopted to convert the multi-rate systems into the single-rate ones. Stochastic nonlinearity is characterized by statistical properties to enhance generality. Different occurrence probabilities of attacks in distinct channels are characterized by virtue of a group of random variables following the Bernoulli distribution. The objective of the addressed filtering issue is to design a distributed filter such that the filtering error dynamics is stochastically finite-time bounded and satisfies $H_{\infty }$ performance requirement. Sufficient conditions guaranteeing the satisfaction of specified filtering performance are established with the assistance of matrix inequalities and stochastic analysis techniques. The gain parameters of the distributed filter are determined by solving certain linear matrix inequalities. Simulation outcomes validate the efficacy of the proposed filtering method.