Parameter matching using adaptive synchronization of two Chua's oscillators: MATLAB and SPICE simulations. 7th International Conference on Chaotic Modeling and Simulation, CHAOS 2014

In this paper, we use an adaptive synchronization technique for parameter matching with chaotic persistent excitation (PE). Two Chua's oscillators, identical in every parameter except for one, are set up in a master/slave configuration where the slave's mismatched parameter is adaptable. Using a Lyapunov function and incorporating the presence of PE, an adaptive control law is given to ensure exact parameter matching. A high-fidelity SPICE simulation model is given that incorporates commercially-provided macro models of the integrated circuits used and obviates the need for any user-defined functions. A voltage controlled inductor-gyrator is used as a tunable parameter made up of current feedback op amps (CFOAs). The performance of the adaptive controller is compared over a wide range of parameter values by using MATLAB simulations. SPICE and MATLAB simulations are run with realistic component tolerances to mimic a physical experiment.