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干扰下参数不确定机械臂的快速终端滑模控制

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为了提高参数不确定机械臂在干扰环境下的跟踪控制精度和收敛速度,这里提出了一种基于不确定补偿的机械臂双非线性快速终端滑模控制方法.建立了二自由度机械臂模动力学型,利用时延估计方法对系统不确定参数和环境不确定干扰进行估计与补偿;设计了一种双非线性快速终端滑模面函数,使系统在任意状态下可以快速趋近平衡点,有效提高了系统的快速收敛能力和鲁棒性;基于李雅普诺夫理论证明了所设计控制器的稳定性.经仿真验证,与时延估计+传统快速终端滑模复合控制相比,这里控制方法的收敛速度和跟踪精度明显更优;与快速终端滑模控制比,这里控制方法能够无波动、无稳态误差地跟踪设定轨迹.上述仿真结果验证了双非线性快速终端滑模方法在参数不确定机械臂控制中的优越性.
Fast Terminal Sliding Mode Control of Parameters Uncertain Manipulator Under Disturbance Condition
In order to improve the tracking control accuracy and convergence speed of the uncertain robotic arm in the disturbance environment,a double nonlinear fast terminal sliding mode control method for the robotic arm based on uncertainty compensa-tion is proposed.A two-degree-of-freedom robotic arm modal model is constructed,and the time-delay estimation method is used to estimate and compensate for the uncertain parameters of the system and the environmental uncertainty disturbance;a du-al nonlinear fast terminal sliding mode surface function is designed so that the system can quickly converge to the equilibrium point in any state,which effectively improves the fast convergence capability and robustness of the system;the stability of the de-signed controller is proved based on Lyapunov theory.The simulation verifies that the convergence speed and tracking accuracy of this control method are significantly better than the time delay estimation+traditional fast terminal sliding mode composite con-trol;compared with the fast terminal sliding mode control,this control method can track the set trajectory without fluctuation and steady-state error.The above simulation results verify the superiority of the dual nonlinear fast terminal sliding mode method in the control of uncertain robotic arm.

Parameters Uncertain ManipulatorTrajectory TrackingFast Terminal Sliding Mode ControlRo-bust

赵亚平、李文飞、陈再良

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苏州农业职业技术学院智慧农业学院,江苏 苏州 215008

莱克电气股份有限公司,江苏 苏州 215009

苏州大学机电工程学院,江苏 苏州 215021

参数不确定机械臂 轨迹跟踪 快速终端滑模控制 鲁棒性

2024

机械设计与制造
辽宁省机械研究院

机械设计与制造

CSTPCD北大核心
影响因子:0.511
ISSN:1001-3997
年,卷(期):2024.406(12)