A novel observer-based finite-time control method for modified function projective synchronization of uncertain chaotic (hyperchaotic) systems

This paper presents a novel observer-based finite-time control (NOBFTC) method for the modified function projective synchronization of chaotic (hyperchaotic) systems in the presence of uncertainties and external disturbances. First, a novel finite-time convergence observer is proposed to estimate the uncertainty term. Then, an NOBFTC law is designed to provide robustness, high precision, and fast and finite-time modified function projective synchronization. Moreover, no chattering phenomenon exists due to the continuity of the proposed controller. The global finite-time stability of the closed-loop system is rigorously proven. Numerical simulations are presented to demonstrate the robustness, effectiveness, and feasibility of the proposed strategy and to verify the theoretical results.

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