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.

中文翻译：

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Lorenz系统的自适应固定时间控制

本文重点研究一类参数不确定的Lorenz系统的固定时间混沌抑制和镇定问题。基于固定时间稳定性理论，自适应控制和反推算法，提出了一种新型的实用实用的固定时间控制器。结果表明，所提出的控制方案可以保证闭环系统的所有信号有界，并在固定时间内抑制了混沌现象。理论分析和仿真结果均验证了所提出控制策略的有效性。