ADAPTIVE OBSERVER-BASED SYNCHRONISATION OF CHAOTIC SYSTEMS IN PRESENCE OF INFORMATION CONSTRAINTS

We analyze performance of adaptive chaotic synchronisation system under information constraints in assumption that some system parameters are unknown and only system output is measured. Such a problem was studied previously in absence of information constraints based on adaptive observer scheme, allowing for its usage for message transmission systems. We provide analytical bounds for the closed-loop system performance (asymptotic error) and conduct a numerical case study for a typical chaotic system, namely the Chua circuit, in presence of information constraints. It is shown that the time-varying quantiser with one-step memory provides reasonable approximation for the minimum transmission rate for adaptive state estimation.