l1 Filtering for Multirate Positive Systems With Weighted Try-Once-Discard Protocol

In this paper, the (partial) l
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filtering problem of a class of positive multirate systems is studied under the scheduling of the weighted try-once-discard (WTOD) communication protocol. Firstly, the multirate system is transformed into a single-rate model by utilizing the iterative state equation method. The signal transmission between the sensor nodes and the filter is carried out in wireless communication networks. In order to reduce the communication burden and avoid the possible network congestion, the WTOD protocol is used to schedule the transmission sequence of the sensor nodes. Secondly, filters are designed in both the general form and the observer-based form. In addition, sufficient criteria are provided by the co-positive Lyapunov function method, which ensures the existence of the filters as well as the exponential stability and specified l
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-gain performance index of the filtering error systems. Additionally included are the explicit design approaches for the filter gain matrices. Lastly, a numerical example is provided to confirm the usefulness of the suggested outcomes.