Polytopic observers for chaos synchronization
Résumé
In this paper, an observer approach for message-free and message-embedded chaos synchronization issues is investigated. Owing to the fact that for a chaotic motion, the underlying variables range in a compact domain, the chaos generator can be expressed in a polytopic form. Thus, according to the free context or to the embedded context, the synchronization is carried out by designing either a polytopic observer or an unknown polytopic observer. Global synchronization is ensured from the notion of polyquadratic stability which enables to compute the gains of the observers in a systematic way. Those gains are derived from the solutions of a Linear Matrix Inequalities set.
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