Projective Lag-Synchronization of Unknown Chaotic Systems with Input Nonlinearities

摘要

This paper solves the problem of projective lag-synchronization based on output feedback control for chaotic drive-response systems with input dead-zone and sector nonlinearities. This class of the drive-response systems is assumed in Brunovsky form but with unavailable states and unknown dynamics. To effectively deal with both dead-zone and sector nonlinearities, the proposed controller is designed in a variable structure frame-work. To online learn the uncertain dynamics, adaptive fuzzy systems are used. And to estimate the unavailable states, a simple synchronization-error is constructed. To prove the stability of the overall closed-loop system (controller, observer and drive-response system) and to design the adaptive laws, a Lyapunov theory and strictly positive real (SPR) approach are exploited.