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Fast terminal sliding mode control of harmonic drive system considering nonlinear attributes

机译:考虑非线性属性的谐波驱动系统快速终端滑模控制

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Precision positioning performance is degraded by nonlinear effects of dynamic error and flexibility with harmonic drive systems. To compensate for dynamic error in the presence of nonlinear flexibility in high precision tracking, the nonlinear dynamic equation with dynamic error of harmonic drive is established by Lagrange method. Then, it is inverted to the state equation for control design. The nonlinear term is introduced into the design of the sliding mode based on the idea of terminal sliding mode control. Then, Fast terminal sliding mode controller is designed and the asymptotical stability of the system is guaranteed using Lyapunov method. The control scheme not only guarantees the convergence of the output tracking error in a finite time period but keeps the state of the system always at the terminal sliding surface. Simulation results show that the controller realize complete compensation of output errors with fast transient response. It is verified the feasibility of the control scheme.
机译:谐波驱动系统的动态误差和灵活性的非线性效应会降低精确定位性能。为了补偿高精度跟踪中存在非线性柔性的动态误差,采用拉格朗日方法建立了具有谐波误差动态误差的非线性动力学方程。然后,将其反转为状态方程以进行控制设计。基于终端滑模控制的思想,将非线性项引入滑模的设计中。然后,设计了快速终端滑模控制器,并使用Lyapunov方法保证了系统的渐近稳定性。该控制方案不仅保证在有限的时间段内收敛输出跟踪误差,而且始终将系统状态保持在终端滑动表面上。仿真结果表明,该控制器以快速的瞬态响应实现了输出误差的完全补偿。验证了该控制方案的可行性。

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