计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2013年
17期
266-270
,共5页
机械臂%关节%自由度%旋转副
機械臂%關節%自由度%鏇轉副
궤계비%관절%자유도%선전부
manipulator%joint%degree of freedom%rotation extent
根据机械臂关节轴线方向建立了连杆坐标系,利用Denavit-Hartenberg(D-H)法得到连杆坐标系变换矩阵;通过连杆坐标系变换矩阵得到机械臂正运动控制模型;通过正运动模型得到逆运动控制模型,逆运动控制模型是多目标约束优化问题,该模型的最优解既可以保证控制精度,又可以保证各个关节角变动幅度的总代价(定义为旋转副)达到最小。为了求解机械臂逆运动模型,提出了自适应多种群差分演化算法(AMPDE),多种群策略可以提升个体共享群体信息的能力,自适应变异策略可以提升种群多样性,数值实验表明该算法可以有效求解机械臂逆运动学模型。
根據機械臂關節軸線方嚮建立瞭連桿坐標繫,利用Denavit-Hartenberg(D-H)法得到連桿坐標繫變換矩陣;通過連桿坐標繫變換矩陣得到機械臂正運動控製模型;通過正運動模型得到逆運動控製模型,逆運動控製模型是多目標約束優化問題,該模型的最優解既可以保證控製精度,又可以保證各箇關節角變動幅度的總代價(定義為鏇轉副)達到最小。為瞭求解機械臂逆運動模型,提齣瞭自適應多種群差分縯化算法(AMPDE),多種群策略可以提升箇體共享群體信息的能力,自適應變異策略可以提升種群多樣性,數值實驗錶明該算法可以有效求解機械臂逆運動學模型。
근거궤계비관절축선방향건립료련간좌표계,이용Denavit-Hartenberg(D-H)법득도련간좌표계변환구진;통과련간좌표계변환구진득도궤계비정운동공제모형;통과정운동모형득도역운동공제모형,역운동공제모형시다목표약속우화문제,해모형적최우해기가이보증공제정도,우가이보증각개관절각변동폭도적총대개(정의위선전부)체도최소。위료구해궤계비역운동모형,제출료자괄응다충군차분연화산법(AMPDE),다충군책략가이제승개체공향군체신식적능력,자괄응변이책략가이제승충군다양성,수치실험표명해산법가이유효구해궤계비역운동학모형。
The link bar coordinate systems is established based on axis direction of joint axis. The coordinate system transforma-tion matrix is derived according to Denavit-Hartenberg(D-H)notation, the forward kinematics model in the light of coordinate system transformation matrix is set up, the inverse kinematics model is set up based on forward kinematics model, the inverse kinematics model is multiple object optimization problem, the optimal solution of inverse kinematics model has the characteristic of high accuracy and minimizes the rotation extent. For the purpose of solving inverse kinematics model, the adaptive mutation multiple population differential evolution algorithm is proposed, multi-population strategy improves the ability of information sharing by individuals, and adaptive mutation method can promote the diversity of individuals, and the numerical results indi-cate that the new algorithm can solve inverse kinematics model efficiently.