多滑模观测器的非线性系统不确定性诊断与重构修改

Uncertainty Diagnosis and Reconstruction of the Nonlinear System Based on Multi-sliding Mode Observers

  • 摘要: 针对一类系具有不确定性的非线性系统,给出一种基于多滑模观测器的非线性系统不确定性诊断与重构方法.该方法利用非线性转换将初始系统分为2个子系统, 采用多重滑模处理多重输入干扰.在干扰分布矩阵结构假设下,多重滑模观测器的设计确保对未知输入的完全可观性,未知输入通过估计输出误差在多重滑模处重建.同时, 估计反馈增益的设计保证了残差估计的渐近稳定性.实验仿真以单节机械手为例,验证了所提方法可实现对不确定信息的有效诊断与重构.

     

    Abstract: Uncertainty diagnosis and reconstruction of the nonlinear system based on multi-sliding mode observers is proposed for a class of nonlinear system with uncertainty. The method divides the original system into two subsystems via nonlinear transformation, and the multi-input external disturbance can be eliminated by multi-sliding mode. The unknown input can be guaranteed to be observed and reconstructed by the design of the multi-sliding mode observers under hypothetical construct of the disturbance distribution matrix and the unknown inputs can be reconstructed via the outputs estimated error on the multi-sliding mode. Simultaneously, the estimation feedback gain design assures the asymptotical stability of the residual errors. Finally, the effectiveness of the proposed method is demonstrated by a simulation example on a single-link flexible joint robot.

     

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