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基于概率-区间混合模型的六足机器人运动稳定性优化设计方法

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针对中枢模式发生器(central pattern generator,CPG)模型的不确定性参数对六足机器人运动稳定性的影响,提出了一种基于概率-区间混合模型的六足机器人运动稳定性优化设计方法.首先,建立了六足机器人数值模型,并基于Matsuoka和 Kimura模型建立了六足机器人CPG模型;其次,通过概率-区间混合模型来描述CPG模型的不确定性变量,并建立了六足机器人运动稳定性优化数学模型;再次,采用Karush-Kuhn-Tucker(KKT)最优化条件和基于最大熵原理的二次四阶矩方法对六足机器人运动稳定性优化设计问题进行解耦,将三层嵌套优化设计问题转化为单层优化设计问题,实现对优化问题的高效求解;最后,基于径向基函数建立六足机器人运动稳定性优化近似模型,并利用遗传算法求解最优设计解.结果表明,采用所提出的方法能够高效求解CPG模型的最优参数,提高了六足机器人的运动稳定性.因此,该方法在机器人运动控制领域具有较高的应用价值.
Optimization design method for kinematic stability of hexapod robot based on probability-interval hybrid model
Considering the influence of the uncertain parameters of central pattern generator(CPG)model on the kinematic stability of hexapod robot,an optimization design method for the kinematic stability of hexapod robot based on a probability-interval hybrid model was proposed.Firstly,the numerical model of the hexapod robot was established,and the CPG model of the hexapod robot was established based on the Matsuoka and Kimura models.Secondly,the uncertainty variables of the CPG model were described by the probability-interval hybrid model,and the kinematic stability optimization mathematical model of the hexapod robot was also constructed.Then,Karush-Kuhn-Tucker(KKT)optimization condition and the second order fourth moment method based on the maximum entropy principle were used to decouple the kinematic stability optimization design problem of the hexapod robot,and the three-level nested optimization design problem was transformed into a single-level optimization design problem,which realized the efficient solution of the optimization problem.Finally,the kinematic stability approximate model of hexapod robot was established based on radial basis function,and the optimal design solution was obtained by genetic algorithm.The results showed that the proposed method could effectively solve the optimal parameters of the CPG model and improve the kinematic stability of the hexapod robot.Therefore,this method has high application value in the field of robot motion control.

hexapod robotkinematic stabilityprobability modelinterval modeldecoupling strategy

刘鑫、李飞虎

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长沙理工大学 汽车与机械工程学院,湖南 长沙 410114

六足机器人 运动稳定性 概率模型 区间模型 解耦策略

国家自然科学基金资助项目湖南省杰出青年科学基金资助项目湖南省研究生科研创新项目

522752352021JJ10040CX20220900

2024

工程设计学报
浙江大学 中国机械工程学会

工程设计学报

CSTPCD北大核心
影响因子:0.694
ISSN:1006-754X
年,卷(期):2024.31(5)