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串联系统多参数广义不确定度传递模式与多反馈控制
引用本文:唐冰松,周志鹏,唐健. 串联系统多参数广义不确定度传递模式与多反馈控制[J]. 数学的实践与认识, 2021, 0(7): 195-205
作者姓名:唐冰松  周志鹏  唐健
作者单位:浙江广厦建设职业技术大学管理工程学院;南京航空航天大学经济与管理学院;湖州音锋机器人有限公司
基金项目:国家自然科学基金(51508273)。
摘    要:将多参数广义不确定度的概念引入串联系统参数不确定度的传递问题中,建立了串联系统多参数广义不确定度传递模型,该模型不仅揭示了参数不确定度在传递过程中的变化情况,传递细节表明传递矩阵元素对最后的传递结果有重要影响.文中阐述了传递矩阵的特征以及各个子系统在串联系统中的主次作用.针对串联系统建立了多参数广义不确定度多反馈控制模...

关 键 词:串联系统  子系统  多参数广义不确定度  传递矩阵  多反馈控制模型

The Propagation Mode and Multiple Feedback Control of Multiple Parameters Generalized Uncertainty in Series System
TANG Bing-song,ZHOU Zhi-peng,TANG Jian. The Propagation Mode and Multiple Feedback Control of Multiple Parameters Generalized Uncertainty in Series System[J]. Mathematics in Practice and Theory, 2021, 0(7): 195-205
Authors:TANG Bing-song  ZHOU Zhi-peng  TANG Jian
Affiliation:(Zhejiang Guangsha Vocational and Technical University of Construction,Dongyang 322100,China;Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China;Huzhou Enfon Robotics Co.,Ltd,Huzhou 313000,China)
Abstract:The concept of multiple parameters generalized uncertainty(MPGU) is introduced in parameter uncertainty propagation problem for series system in the paper.A multiple parameters generalized uncertainty model for series system is proposed.This model shows some detail information not only about the variation in the process of parameter uncertainty propagation,but also significant influence formed by elements in the propagation matrix.The characteristic of propagation matrix and the dominant or collateral role of every subsystem in the series system are both illustrated in detail.In the end,a multiple feedback control model of MPGU in the series system is proposed.Furthermore,multi-class feedback control models referring to single subsystem,double subsystems and even multi-subsystem are acquired later.The model proposed in this paper demonstrates theoretically the output parameters uncertainty variation and its upper bound area norm when the modification of the propagation matrix is achieved,which can be regarded as a good support in engineering.
Keywords:series system  subsystem  MPGU  propagation matrix  multiple feedback control model
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