The problem of synchronization of chaotic systems in the presence of additive bounded noise is considered. Two kinds of adaptive synchronization algorithms are evaluated by simulation: (i) an algorithm of adaptive observers made robust by parametric feedback or dead zone; (ii) an algorithm of parameter identification with implicit adjustable model and augmented signals. The results are illustrated by numerical examples of synchronization of Chua systems. Application of the proposed adaptive synchronization algorithms to the problem of signal transmission is discussed.