A New Finite-Time Control of Rigid Manipulator with FTSMC Approach

Ming Wang, T. Zhang
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Abstract

This paper investigates the finite-time trajectory tracking control problem for rigid robotic manipulators. The objective is to control all the links of rigid manipulators to converge into the desired form of motion in a finite time respectively. Based on the finite-time control technique, a new motion tracking control law, which is suitable for a class of rigid manipulators with model uncertainties and external disturbances, is proposed using the fast terminal sliding mode control (FTSMC) scheme. The proposed method can drive the system states reach zero without requiring the explicit dynamic model. Rigorous proof is given by using Lyapunov and matrix theory. Simulation results are presented to validate the effectiveness of our theoretical analysis.
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基于FTSMC的刚性机械臂有限时间控制新方法
研究了刚性机械臂的有限时间轨迹跟踪控制问题。目标是控制刚性机械臂的所有连杆分别在有限时间内收敛到期望的运动形式。基于有限时间控制技术,采用快速终端滑模控制(FTSMC)方案,提出了一种适用于一类具有模型不确定性和外部干扰的刚性机械臂的运动跟踪控制律。该方法可以在不需要显式动态模型的情况下驱动系统状态趋近于零。利用李雅普诺夫理论和矩阵理论给出了严密的证明。仿真结果验证了理论分析的有效性。
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