Finite‐time energy‐to‐peak quantized filtering for Markov jump networked systems under weighted try‐once‐discard protocol

Abstract This work addresses the finite‐time energy‐to‐peak filtering issue for networked systems subject to quantization effects and the weighted try‐once‐discard (WTOD) protocol, in which the random changes of coupling connections are governed by a Markov chain. To avoid the conflict in data transmission, the WTOD protocol is introduced to the communication between the sensor node and the filter, which guarantees that just one sensor node has access to send data at each transmission instant. In addition, the quantizer is employed to improve the reliability of data transmission. The objective of this article is to construct a filter such that the filtering error system satisfies the requirements of both the finite‐time boundary and the specified energy‐to‐peak performance. Based on the Kronecker product, the Lyapunov stability theory and an improved matrix decoupling method, some sufficient conditions are established through disposing of convex optimization issues. Ultimately, the availability of the designed filter is illustrated via a numerical example.