Date: 28 Jul 2006

Passivity-Based Agreement Protocols: Continuous-Time and Sampled-Data Designs

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Abstract

We pursue a group agreement problem where the objective is to achieve synchronization of group variables. We assume a bidirectional information flow between members, and study a class of feedback laws that are implementable with local information available to each member. We first review a unifying passivity framework for the group agreement problem in continuous-time. Then, we extend the results to a class of sampled-data systems by exploiting the passivity properties of the underlying continuous-time system, and prove semiglobal asymptotic stability as the sampling period and a feedback gain are reduced.