Relay feedback design of chaotic systems on piecewise linear feedback

In this paper, a relay feedback model of Chua's chaotic system is presented. It is shown that a piecewise-linear feedback element in Chua's system can be converted to a simple relay, and the equivalent relay feedback system is directly designed by applying the bilinear transformation. A feature associated with the relay feedback design is that chaos can be generated for larger sampling-periods compared to the original system in the sampling and zero-order hold discretization.

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