In this paper, we develop a parameter matching technique using adaptive synchronization with a chaotic attractor. 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 Lyapunov functions and incorporating the presence of chaotic signals, adaptive control laws are designed to ensure exact parameter matching. One of the derived adaptive controllers is experimentally validated by using an adaptive inductor-gyrator composed of current feedback op-amps (CFOAs). The experimental results are compared to high-fidelity SPICE simulations, and performance of adaptive controllers are compared over a wide range of parameter values using MATLAB.

Parameter Matching Using Adaptive Synchronization of Two Chua's Oscillators

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 conguration 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 pa- rameter matching. A high-delity SPICE simulation model is given that incorporates commercially-provided macro models of the integrated circuits used and obviates the need for any user-dened 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 us- ing MATLAB simulations. SPICE and MATLAB simulations are run with realistic component tolerances to mimic a physical experiment.

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 develop 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 Lyapunov functions and incorporating the presence of PE, adaptive control laws are designed to ensure exact parameter matching. One of the derived adaptive controllers is experimentally validated by using an adaptive inductor-gyrator composed of current feedback op-amps (CFOAs).

Parameter matching using adaptive synchronization of two Chua's oscillators

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 conguration 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 pa- rameter matching A high-delity SPICE simulation model is given that incorporates commercially-provided macro models of the integrated circuits used and obviates the need for any user-dened 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 us- ing MATLAB simulations SPICE and MATLAB simulations are run with realistic component tolerances to mimic a physical experiment

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Parameter Matching Using Adaptive Synchronization of Two Chua's Oscillators: MATLAB and SPICE Simulations

In this paper, a secure communication scheme of delayed chaotic system with channel noises is investigated. Based on the idea of chaotic cryptography, instead of encoding the message in a chaotic system signal directly, the plain signal is encrypted by using a muti-shift cipher scheme, which is more complicated and could increase the communication security. By using adaptive techniques, the transmitter and the receiver are synchronized in the presence of channel noises, and the encoded signal can be recovered by the receiver. Finally, theoretical analysis and numerical simulation show the effectiveness of the proposed scheme.

Baotong Cui

Papers

A new adaptive synchronization scheme of delayed chaotic system for secure communication with channel noises