Institute of Electrical and Electronics Engineers, IEEE Transactions on Industrial Electronics, 5(58), p. 1971-1979, 2011
Full text: Download
In this paper, the distributed H ∞ filtering problem is addressed for a class of polynomial nonlinear stochastic systems in sensor networks. For a Lyapunov function candidate whose entries are polynomials, we calculate its first- and second-order derivatives in order to facilitate the use of Itô's differential rule. Then, a sufficient condition for the existence of a feasible solution to the addressed distributed H ∞ filtering problem is derived in terms of parameter-dependent linear matrix inequalities (PDLMIs). For computational convenience, these PDLMIs are further converted into a set of sums of squares that can be solved effectively by using the semidefinite programming technique. Finally, a numerical simulation example is provided to demonstrate the effectiveness and applicability of the proposed design approach.