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中国物理学会期刊

受扰统一混沌系统的主动自适应模糊积分滑模控制

CSTR: 32037.14.aps.61.220504

Active adaptive fuzzy integral sliding mode control for unified chaotic system with uncertainties and disturbance

CSTR: 32037.14.aps.61.220504
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  • 针对受扰统一混沌系统, 提出一种主动自适应模糊积分滑模控制方法. 在保持原非线性积分滑模控制暂态性能的同时, 设计了一种改进非线性积分滑模控制方法, 保证了系统的稳定性.所提出控制方法减小了统一混沌系统的不可控状态和自适应模糊补偿项的逼近精度对系统状态误差的影响. 基于Lyapunov稳定性理论分析了系统的稳定性. 数值仿真结果表明,在存在参数摄动和外部扰动时, 能将统一混沌系统控制到目标点上. 数值仿真验证了所提出控制方法的有效性.

     

    An active adaptive fuzzy integral sliding mode controller is proposed for a unified chaotic system with parametric uncertainties under external perturbation. An improved control method is designed to guarantee the stability, while maintaining the transient performances of the original nonlinear integral sliding mode control. The proposed method reduces the effects of both the uncontrollable state of unified chaotic system and approximation error of adaptive fuzzy compensator on system state error. The stability of the controller is analyzed by Lyapunov stability theorem. The simulation results show that the system states can be controlled to target points with parametric uncertainties under external perturbation. The effectiveness of this method is illustrated by the numerical simulation.

     

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