基于分数阶微积分的机械臂滑模控制的研究

针对机械臂这类非线性与不确定性的系统,将分数阶微积分理论与滑模控制策略的优点相互结合,提出一种有效的分数阶滑模控制方法。在控制器的设计过程中,分别以分数阶趋近律与分数阶滑模控制律两种手段将分数阶微积分引入到滑模控制中,并运用Lyapunov理论进行证明,从而确保系统的稳定性。将提出的控制方法应用于二关节机械臂上,使用MATLAB仿真软件进行仿真验证。结果表明,所提控制策略可有效提高关节的跟踪速度与跟踪精度,控制器具有良好的有效性和鲁棒性。

Research on Sliding Mode Control of Robotic Arm Based on Fractional Calculus

An effective fractional order sliding mode control method is proposed for the nonlinear and uncertain robotic arm system by combining the advantages of the fractional calculus theory and the sliding mode control strategy. In the design of the controller, the fractional calculus is introduced into the sliding mode control by using the fractional order reaching law and the fractional order sliding mode control law respectively, and is proved by the Lyapunov theory to ensure the stability of the system. The proposed control method is applied to a two-joint robotic arm and is verified by the MATLAB simulation software. The results show that the proposed control strategy can effectively improve the tracking speed and tracking accuracy of the joints, and the controller is of good effectiveness and strong robustness.