Journal
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
Volume 58, Issue 5, Pages 1971-1979Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIE.2010.2053339
Keywords
Distributed H-infinity filtering; parameter-dependent linear matrix inequalities (PDLMIs); polynomial systems; sensor networks; stochastic systems; sum of squares (SOS)
Categories
Funding
- Engineering and Physical Sciences Research Council of the U.K. [GR/S27658/01]
- Royal Society of the U.K.
- National 973 Program of China [2009CB320600]
- National Natural Science Foundation of China [60974030]
- Alexander von Humboldt Foundation of Germany
Ask authors/readers for more resources
In this paper, the distributed H-infinity 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 Ito's differential rule. Then, a sufficient condition for the existence of a feasible solution to the addressed distributed H-infinity 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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available