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

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

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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.

Inspec keywords: linear matrix inequalities; H∞ control; graph theory; uncertain systems

Other keywords: distributed robust filters; distributed H consensus based estimation; linear matrix inequalities; uncertain systems; distributed estimator; circulant graph; dissipativity theory

Subjects: Combinatorial mathematics; Optimal control; Linear algebra (numerical analysis)

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