基于計算和實驗的方法確定自主運動中時間問題的研究
發(fā)布時間:2019-04-10 14:45
【摘要】:人類無時無刻不在運動,每一次運動都會消耗一定的時間。但是大腦在自主運動之前是否知道運動時間這一問題一直未能被解答。不同的模型采用不同的假設。時間有限模型假設,在自主運動之前,大腦已經(jīng)知道運動時間;時間無限模型假設,大腦不知道運動時間,時間是在運動之后自然呈現(xiàn)出來的。盡管兩種相悖的模型都能在一定條件下擬合實驗數(shù)據(jù),但是這一時間問題卻懸而未決。時間問題并沒有辦法直接回答。本研究才用了獨特的辦法,把時間問題轉化成了空間問題,即比較對外界干擾的修復形狀。本研究基于最優(yōu)控制框架,對以上兩種模型進行了數(shù)學公式上的對比。時間有限模型的控制增益為時變增益,時間無限模型的控制增益為時不變增益。不同的增益導致了,在遇到外界干擾時,對運動的修復軌跡不同。本研究針對這一差別,設計了不同范式的實驗,進行了Matlab仿真。并用相同的參數(shù)進行了行為學實驗,通過行為學實驗結果解釋這一科學問題。實驗結果否定了時間無限理論在自主運動中的適用性,但是并不能完全支持時間有限理論。其中差別可能來自于參數(shù)的選擇。
[Abstract]:Human beings exercise all the time, and each exercise consumes a certain amount of time. But the question of whether the brain knows when to exercise before it moves autonomously has not been answered. Different models adopt different assumptions. The time-limited model assumes that the brain already knows the movement time before the autonomous movement, and the time infinite model assumes that the brain does not know the movement time, and the time appears naturally after the exercise. Although the two contradictory models can fit the experimental data under certain conditions, the time problem is still unresolved. There is no direct answer to the question of time. In this study, a unique method was used to transform the time problem into a spatial problem, that is, to compare the repair shape of external interference. Based on the optimal control framework, the mathematical formulas of the two models are compared. The control gain of time-limited model is time-varying gain, and the control gain of time-infinite model is time-invariant gain. Different gain leads to different track of motion repair in the event of external interference. Aiming at this difference, experiments of different paradigms are designed, and Matlab simulation is carried out. The behavioral experiments were carried out with the same parameters, and the results of behavioral experiments were used to explain this scientific problem. The experimental results deny the applicability of time-infinite theory in autonomous motion, but can not fully support the time-limited theory. The difference may come from the choice of parameters.
【學位授予單位】:天津大學
【學位級別】:碩士
【學位授予年份】:2016
【分類號】:TP391.9
[Abstract]:Human beings exercise all the time, and each exercise consumes a certain amount of time. But the question of whether the brain knows when to exercise before it moves autonomously has not been answered. Different models adopt different assumptions. The time-limited model assumes that the brain already knows the movement time before the autonomous movement, and the time infinite model assumes that the brain does not know the movement time, and the time appears naturally after the exercise. Although the two contradictory models can fit the experimental data under certain conditions, the time problem is still unresolved. There is no direct answer to the question of time. In this study, a unique method was used to transform the time problem into a spatial problem, that is, to compare the repair shape of external interference. Based on the optimal control framework, the mathematical formulas of the two models are compared. The control gain of time-limited model is time-varying gain, and the control gain of time-infinite model is time-invariant gain. Different gain leads to different track of motion repair in the event of external interference. Aiming at this difference, experiments of different paradigms are designed, and Matlab simulation is carried out. The behavioral experiments were carried out with the same parameters, and the results of behavioral experiments were used to explain this scientific problem. The experimental results deny the applicability of time-infinite theory in autonomous motion, but can not fully support the time-limited theory. The difference may come from the choice of parameters.
【學位授予單位】:天津大學
【學位級別】:碩士
【學位授予年份】:2016
【分類號】:TP391.9
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