Set-membership filtering for complex networks with constraint communication channels

The set-membership filtering is studied for a class of multi-rate sampling complex networks with communication capacity constraint. For reducing communication load, the weighted try-once-discard scheduling protocol is utilized to transmit the most needed measurement. To improve the filtering performance, a novel mixed compensation method is proposed to obtain a compensatory measurement that is closer to the actual value. Accordingly, a mixed compensation dependent filter is designed, and a filtering error system is obtained. Sufficient conditions are established to ensure that the filtering error system satisfies [Formula: see text] -dependent constraint. Then, a new algorithm is designed to obtain the optimized ellipsoid by minimizing the constraint matrix. Finally, an illustrative example is given to demonstrate the validity of the developed filter.