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Convex synthesis of controllers for consensus

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2 Author(s)
de Castro, G.A. ; Electr. Eng. Dept., UCLA, Los Angeles, CA, USA ; Paganini, F.

We develop convex conditions that are necessary and sufficient for the existence of a controller that yields a closed loop that achieves consensus. The conditions generate controllers with no particular communication structure, but with optimal /spl Hscr//sub 2/ performance on the non-consensus part of the closed loop. We further explore the conditions to impose topology on the interconnection structure generated by the controllers. This is achieved by restricting a certain Lyapunov matrix to be block diagonal, in order to produce convex synthesis results.

Published in:

American Control Conference, 2004. Proceedings of the 2004  (Volume:6 )

Date of Conference:

June 30 2004-July 2 2004