Robust-Adaptive synchronization of drive and response systems using coupled chaotic adaptive synchronous observers

摘要

In this paper, robust-adaptive control methodology is developed by augmenting the a-modification as well as the use of filters with already established control scheme based on nonlinear and adaptive coupled chaotic adaptive Synchronous observers for synchronization of the nonlinear drive and response systems, by the same authors. The purpose of this amendment is to develop an adaptive control scheme capable of synchronizing two nonlinear systems even impelled by the disturbances and noises. The effect of disturbances and effect of noise reduces the efficacy of previously proposed control methodology. The a-modification facilitates the adaptation of unknown parameters with bounds in the divergence of their values and thus enhances the robustness in adaptive control scheme. Along with the disturbance rejection by a-modification, the effect of noise in output measurement is catered by the use of low pass filters. The authenticity of proposed amendments is validated by simulation of synchronization of FitzHugh-Nagumo neural drive and response system under the effect of disturbances and noise.