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arXiv cs/0511069cs.RO
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刚性连杆机器人的非线性滚动时域控制

Nonlinear Receding-Horizon Control of Rigid Link Robot Manipulators

R. Hedjar, P. Boucher

摘要:

采用近似非线性滚动时域控制律来处理刚性连杆机器人的轨迹跟踪控制问题。推导出的非线性预测法使用的预测跟踪误差和预测的控制努力的二次型性能指标。该控制律的一个关键特征是,对于它们的实现,不需要执行在线优化,并且保证了平滑参考轨迹的渐近跟踪。结果表明,该控制器实现了位置跟踪目标,通过链接位置测量。证明了输出跟踪误差稳定收敛到原点。为了提高闭环系统对有效载荷不确定性和粘性摩擦的鲁棒性,在回路中引入了积分作用。一个非线性观测器被用来估计速度。两连杆刚性机器人的仿真结果进行验证所提出的控制器的性能。关键词:滚动时域控制,非线性观测器,机械手,积分作用,鲁棒性。

英文摘要:

The approximate nonlinear receding-horizon control law is used to treat the trajectory tracking control problem of rigid link robot manipulators. The derived nonlinear predictive law uses a quadratic performance index of the predicted tracking error and the predicted control effort. A key feature of this control law is that, for their implementation, there is no need to perform an online optimization, and asymptotic tracking of smooth reference trajectories is guaranteed. It is shown that this controller achieves the positions tracking objectives via link position measurements. The stability convergence of the output tracking error to the origin is proved. To enhance the robustness of the closed loop system with respect to payload uncertainties and viscous friction, an integral action is introduced in the loop. A nonlinear observer is used to estimate velocity. Simulation results for a two-link rigid robot are performed to validate the performance of the proposed controller. Keywords: receding-horizon control, nonlinear observer, robot manipulators, integral action, robustness.

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