Generation of chaos from relay feedback systems

摘要

This paper presents a relay feedback system that is equivalent to the Chua circuit. The circuit is referred to as being one of well-known chaotic models in the chaos field and its chaotic nature has been confirmed both theoretically and experimentally. It is shown in this paper that bilinear transformation allows describing the Chua circuit as the chaotic relay feedback system. Benefits associated with the relay feedback design include: (a) In the sampling and zero-order hold discretization, numerical simulation reveals that a double-scroll chaotic attractor is generated for larger sampling-periods compared to the original system, (b) The nonlinear feedback characteristics of Chua's system can be implemented using simple relay circuit.