Parallel kinematic machines （PKMs） have the advantages of a compact structure,high stiffness,a low moving inertia,and a high load/weight ratio.PKMs have been intensively studied since the 1980s,and are still attract...Parallel kinematic machines （PKMs） have the advantages of a compact structure,high stiffness,a low moving inertia,and a high load/weight ratio.PKMs have been intensively studied since the 1980s,and are still attracting much attention.Compared with extensive researches focus on their type/dimensional synthesis,kinematic/dynamic analyses,the error modeling and separation issues in PKMs are not studied adequately,which is one of the most important obstacles in its commercial applications widely.Taking a 3-PRS parallel manipulator as an example,this paper presents a separation method of source errors for 3-DOF parallel manipulator into the compensable and non-compensable errors effectively.The kinematic analysis of 3-PRS parallel manipulator leads to its six-dimension Jacobian matrix,which can be mapped into the Jacobian matrix of actuations and constraints,and then the compensable and non-compensable errors can be separated accordingly.The compensable errors can be compensated by the kinematic calibration,while the non-compensable errors may be adjusted by the manufacturing and assembling process.Followed by the influence of the latter,i.e.,the non-compensable errors,on the pose error of the moving platform through the sensitivity analysis with the aid of the Monte-Carlo method,meanwhile,the configurations of the manipulator are sought as the pose errors of the moving platform approaching their maximum.The compensable and non-compensable errors in limited-DOF parallel manipulators can be separated effectively by means of the Jacobian matrix of actuations and constraints,providing designers with an informative guideline to taking proper measures for enhancing the pose accuracy via component tolerancing and/or kinematic calibration,which can lay the foundation for the error distinguishment and compensation.展开更多
针对由天线罩误差引起的寄生回路影响制导系统稳定性的问题,提出了基于状态空间简化模型的天线罩寄生回路稳定性分析方法。为了准确分析天线罩误差特性对制导系统稳定性的影响,首先建立包含天线罩误差特性的导引头部件级模型,并采用低...针对由天线罩误差引起的寄生回路影响制导系统稳定性的问题,提出了基于状态空间简化模型的天线罩寄生回路稳定性分析方法。为了准确分析天线罩误差特性对制导系统稳定性的影响,首先建立包含天线罩误差特性的导引头部件级模型,并采用低阶等效系统拟配方法建立导引头简化模型。该简化模型能够准确表征导引头的工作特性,并有效降低了制导回路状态空间简化模型的阶数;在此基础上,采用小扰动线性化方法建立制导/控制/弹体多回路线性时不变(linear time invariant, LTI)简化模型,并与导引头低阶等效模型结合,建立了包含天线罩误差斜率参数的制导回路,以简化模型状态空间描述形式。基于以上引入天线罩误差特性的制导回路状态空间模型,采用根轨迹方法分析确定了天线罩误差斜率的稳定域,分析了不同的天线罩误差斜率对制导系统稳定性的影响规律。最后,基于制导回路非线性模型进行仿真验证,仿真结果验证了基于简化模型的天线罩寄生回路稳定性分析方法的正确性。展开更多
基金supported by Tianjin Research Program of Application Foundation and Advanced Technology of China (Grant No.11JCZDJC22700)National Natural Science Foundation of China (GrantNo. 51075295,Grant No. 50675151)+1 种基金National High-tech Research and Development Program of China (863 Program,Grant No.2007AA042001)PhD Programs Foundation of Ministry of Education of China (Grant No. 20060056018)
文摘Parallel kinematic machines （PKMs） have the advantages of a compact structure,high stiffness,a low moving inertia,and a high load/weight ratio.PKMs have been intensively studied since the 1980s,and are still attracting much attention.Compared with extensive researches focus on their type/dimensional synthesis,kinematic/dynamic analyses,the error modeling and separation issues in PKMs are not studied adequately,which is one of the most important obstacles in its commercial applications widely.Taking a 3-PRS parallel manipulator as an example,this paper presents a separation method of source errors for 3-DOF parallel manipulator into the compensable and non-compensable errors effectively.The kinematic analysis of 3-PRS parallel manipulator leads to its six-dimension Jacobian matrix,which can be mapped into the Jacobian matrix of actuations and constraints,and then the compensable and non-compensable errors can be separated accordingly.The compensable errors can be compensated by the kinematic calibration,while the non-compensable errors may be adjusted by the manufacturing and assembling process.Followed by the influence of the latter,i.e.,the non-compensable errors,on the pose error of the moving platform through the sensitivity analysis with the aid of the Monte-Carlo method,meanwhile,the configurations of the manipulator are sought as the pose errors of the moving platform approaching their maximum.The compensable and non-compensable errors in limited-DOF parallel manipulators can be separated effectively by means of the Jacobian matrix of actuations and constraints,providing designers with an informative guideline to taking proper measures for enhancing the pose accuracy via component tolerancing and/or kinematic calibration,which can lay the foundation for the error distinguishment and compensation.
文摘针对由天线罩误差引起的寄生回路影响制导系统稳定性的问题,提出了基于状态空间简化模型的天线罩寄生回路稳定性分析方法。为了准确分析天线罩误差特性对制导系统稳定性的影响,首先建立包含天线罩误差特性的导引头部件级模型,并采用低阶等效系统拟配方法建立导引头简化模型。该简化模型能够准确表征导引头的工作特性,并有效降低了制导回路状态空间简化模型的阶数;在此基础上,采用小扰动线性化方法建立制导/控制/弹体多回路线性时不变(linear time invariant, LTI)简化模型,并与导引头低阶等效模型结合,建立了包含天线罩误差斜率参数的制导回路,以简化模型状态空间描述形式。基于以上引入天线罩误差特性的制导回路状态空间模型,采用根轨迹方法分析确定了天线罩误差斜率的稳定域,分析了不同的天线罩误差斜率对制导系统稳定性的影响规律。最后,基于制导回路非线性模型进行仿真验证,仿真结果验证了基于简化模型的天线罩寄生回路稳定性分析方法的正确性。
