谐波驱动系统的非线性输出反馈轨迹跟踪控制

Nonlinear Output Feedback Trajectory Tracking Control for Harmonic Drive Systems

  • 摘要: 利用一类具有“小误差放大, 大误差饱和”功能的非线性饱和函数, 设计了非线性比例及线性微分加系统动力(NP-D+)控制算法.与传统的输出反馈控制算法相比, 在忽略系统柔性影响的条件下, 获得了谐波驱动系统更快的响应速度, 并实现了对系统运动误差的有效补偿. 应用李亚普诺夫稳定性理论证明了闭环系统的半全局渐近稳定性.数值仿真结果证明了所提的NP-D+输出反馈控制算法的有效性.

     

    Abstract: Based on a class of nonlinear saturated functions with the characteristics of "enlargement of small error and saturated in large error", a nonlinear proportional plus linear derivative and system dynamics (NP-D+) control algorithm is designed. Compared with traditional output feedback tracking control algorithms, the algorithm gives a faster response ignoring flexibility effects, and it can compensate for the kinematic error effectively. The semi-global asymptotic stability of the closed-loop system is proved based on Lyapunov theory. Simulation examples verify the effectiveness of the proposed NP-D+ output feedback tracking control algorithm.

     

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