Adaptive fixed-time control for Lorenz systems

This paper focuses on the problem of fixed-time chaos suppression and stabilization of a class of Lorenz systems with uncertain parameters. Based on the fixed-time stability theory, adaptive control and backstepping algorithm, a novel adaptive practical fixed-time controller is proposed. It is shown that the presented control scheme can guarantee that all the signals of the closed-loop system are bounded and chaotic phenomenon is suppressed in the fixed time. Both the theoretical analysis and simulation results verify the effectiveness of the proposed control strategy.