A communication scheme based on chaos synchronization via feedback is presented. The main idea is to construct an augmented dynamical system from the synchronization error system, which is itself uncertain. Dynamic output feedback is applied to perform synchronization in spite of transmitter/receiver mismatches. In this way, the transmitted message (which can be analog or digital) can be recovered. Two illustrative examples are presented. (1) The Chua oscillator is used to show that the message signal is recovered in spite of parametric transmitter/receiver mismatches. (2) Two second-order driven oscillators are presented to show that the message can be recovered in spite of a strictly different model, which results in different master/slave dynamics.
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Femat et al. (2001) studied this question.
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