Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 49, Issue 9, Pages 1502-1519Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2004.834123
Keywords
dissipativity; distributed control; large-scale systems; linear matrix inequalities (LMIs)
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We consider the problem of synthesizing a distributed dynamic output feedback controller achieving H-infinity performance for a system composed of different interconnected sub-units, when the topology of the underlying graph is arbitrary. First, using tools inspired by dissipativity theory, we derive sufficient conditions in the form of finite-dimensional linear matrix inequalities when the interconnections are assumed to be ideal. These inequalities are coupled in a way that reflects the spatial structure of the problem and can be exploited to design distributed synthesis algorithms. We then investigate the case of lossy interconnection links and derive similar results for systems whose interconnection relations can be captured by a class of integral quadratic constraints that includes constant delays.
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