MKE Scheme for the Control of Dynamic Constrained Redundant Robots Based on Discrete-time Neural Network

Baiyan Liu, Dan Su, Mei Liu, Yang Shi, Shuai Li
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Abstract

It is necessary to make physical constraints on the joints for the redundant robot motion control in order to avoid damage. In this paper, a discrete-time neural network model with minimum kinetic energy as the performance index is proposed, which has predominant convergence performance. Then, a solution in robot motion control is studied and further transformed into a dynamic quadratic programming (QP) with equality and inequality constraints. In addition, for solving the formulated QP problem, a continuous-time neural network model is designed by introducing the Lagrange multiplier method, and a discrete-time neural network model is obtained by the Euler forward difference formula. Moreover, the simulations on robot motion control are carried out, and the simulative results further substantiate the superiority, thus extending a solution for motion control of redundant robots with double-bound constraints.
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基于离散时间神经网络的动态约束冗余机器人MKE控制方案
冗余机器人运动控制需要对关节进行物理约束,以避免损伤。本文提出了一种以最小动能为性能指标的离散时间神经网络模型,该模型具有较好的收敛性能。然后,研究了机器人运动控制问题的求解方法,并将其转化为具有等式和不等式约束的动态二次规划问题。此外,为了求解公式化的QP问题,引入拉格朗日乘子法设计了连续时间神经网络模型,利用欧拉正演差分公式得到离散时间神经网络模型。此外,对机器人运动控制进行了仿真,仿真结果进一步验证了该方法的优越性,从而为具有双界约束的冗余机器人运动控制问题提供了一种解决方案。
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