Robust finite-horizon filtering for nonlinear time-delay Markovian jump systems with weighted try-once-discard protocol

In this paper, the network-based robust H_∞ filtering problem is investigated for a class of nonlinear delayed Markovian jump systems subject to packet dropouts. To regulate the transmission order of multiple sensor nodes, the Weighted Try-Once-Discard (WTOD) protocol is adopted to avoid data collision and improve transmission accuracy and efficiency. Via the scheduling of WTOD protocol, only one sensor node is allowed to get access to the shared communication network at each step to send data. The purpose of the addressed problem is to design a network-based filter such that, the prespecified H∞ disturbance attenuation level is guaranteed with the help of scheduling of WTOD protocol. Sufficient conditions are established for the existence of desired filter where the filter parameters are obtained by solving the proposed series of recursive linear matrix inequalities (RLMIs). Finally, an illustrative example is given to demonstrate the effectiveness of the presented filter design method.