Distributed H ∞ consensus-based estimation of uncertain systems via dissipativity theory

The study addresses the problem of design of distributed robust filters using the dissipativity theory of distributed systems. The main result is a sufficient condition which guarantees a suboptimal H∞ level of disagreement of estimates in a network of estimators. The condition is formulated in terms of feasibility of certain linear matrix inequalities. For a special case of a distributed estimator neutrally connected over a circulant graph, it is shown using an example that the proposed approach leads to an improved consensus performance.