未定系數法 的英文怎麼說
中文拼音 [wèidìngxìshǔfǎ]
未定系數法
英文
method of undetermined coefficients- 未 : Ⅰ副詞1 (沒) did not; have not 2 (不) not Ⅱ名詞1 (地支的第八位) the eighth of the twelve ear...
- 定 : Ⅰ形容詞1 (平靜; 穩定) calm; stable 2 (已經確定的; 不改變的) fixed; settled; established Ⅱ動詞...
- 系 : 系動詞(打結; 扣) tie; fasten; do up; button up
- 數 : 數副詞(屢次) frequently; repeatedly
- 法 : Ⅰ名詞1 (由國家制定或認可的行為規則的總稱) law 2 (方法; 方式) way; method; mode; means 3 (標...
- 未定 : uncertain; undecided; undefined
- 系數 : [數學] coefficient; ratio; modulus; quotient; factor
-
According to the geometry of slope measurements for the subjective wavefront optometer, a wavefont reconstruction model using zernike polynomial with normalization factor is put forward. based on householder transformation and gram - schmidt orthogonalization method, two methods for working out unknown zernike coefficients are bring forward. the error propagation parameter for the wavefront reconstruction model is deduced
深入研究了帶標準化因子的zernike多項式的性質;針對主觀式像差儀波前斜率采樣方案,提出了採用帶標準化因子的zernike多項式對眼測試波前進行重建的數學模型;提出了兩種求解方法,即基於householder變換求解法和基於gram - schmidt正交化求解法,用於確定重建模型中的未知模式系數;推導出了該波前重建模型對斜率測量誤差的傳遞系數。2. nonlinear source term identification problem about a quasilinear parabolic heat equation is investigated. for the given function determined, the existence and the uniqueness of the solution of the state equation are proved and the dependence of the solution of the state equation on the identification parameter is discussed ; then the identifiability is verified ; through choosing suitable basic functions, the above identification problem can be transformed into a constant coefficients identification problem ; and an practical iterative algorithm for solving the identification problem is presented, the feasibility and validity of the algorithm is verified by the numerical experiments
2 、研究一擬線性拋物型熱傳導方程非線性未知源項的識別問題;對于給定識別函數,論證了狀態方程解的存在惟一性、方程解與識別函數的依賴關系和可識別性;通過選取適當的基函數,把對非線性源項的識別轉化成常系數識別問題;給出了實現非線性源項識別的迭代演算法,通過數值實驗證明了演算法的有效性。The conventional variable structure control technique for uncertain system requires that the uncertainty bound is known as a premise to assure robustness. the requirement creates an over - conservative controller and enlarges chattering. the proposed controller regards the influence of unknown disturbances and parameter uncertainties as an equivalent disturbance and generates an on - line estimation used in smc to cancel the slowly varying uncertainties by the mechanism of time delay. the reaching law approach is used to get the conditions and band of quasi - sliding mode. the new methodology offers a robust feedback control with much lower gains and reduces chattering without a prior knowledge of the uncertainty bounds or matched conditions
常規變結構控制用於不確定系統,須利用不確定性界確保系統的魯棒性,控制器過于保守且抖振變大.本文把未知干擾和參數不確定性的影響等效為名義系統的外界干擾,利用時延技術對干擾進行在線估計,並將估計值引入到變結構控制中,從而抵消掉系統中的慢變不確定性,利用離散趨近律法,推出了準滑動模態的存在條件及其帶寬.該方法克服了以往控制方法中須已知不確定性界的限制,且不必滿足匹配條件,用較低的控制增益保證了系統的魯棒性,降低了準滑動模態帶即削弱了抖振Abstract : the conventional variable structure control technique for uncertain system requires that the uncertainty bound is known as a premise to assure robustness. the requirement creates an over - conservative controller and enlarges chattering. the proposed controller regards the influence of unknown disturbances and parameter uncertainties as an equivalent disturbance and generates an on - line estimation used in smc to cancel the slowly varying uncertainties by the mechanism of time delay. the reaching law approach is used to get the conditions and band of quasi - sliding mode. the new methodology offers a robust feedback control with much lower gains and reduces chattering without a prior knowledge of the uncertainty bounds or matched conditions
文摘:常規變結構控制用於不確定系統,須利用不確定性界確保系統的魯棒性,控制器過于保守且抖振變大.本文把未知干擾和參數不確定性的影響等效為名義系統的外界干擾,利用時延技術對干擾進行在線估計,並將估計值引入到變結構控制中,從而抵消掉系統中的慢變不確定性,利用離散趨近律法,推出了準滑動模態的存在條件及其帶寬.該方法克服了以往控制方法中須已知不確定性界的限制,且不必滿足匹配條件,用較低的控制增益保證了系統的魯棒性,降低了準滑動模態帶即削弱了抖振Synthesizing the two identification methods of weighted least square and resricted memory, the mutivariable system recursive estimate algorithems of unknown parameter of autoregressive models in the presence of controlled inputare are given
摘要將加權最小二乘法和限定記憶兩種參數估計方法相綜合,給出了多變量系統帶控制輸入的自回歸模型未知參數的遞推估計演算法。In the first part, hilbert ' s 16th problem and the studies on it are introduced, and the results of zq - equivariant vector fields of degree 5 ( q = 2, 3, 5, 6 ) are given. in the second part, the definitions of zq - equivariant vector fields and the method of detection functions are stated, and all the forms of nontrivial zq - equivariant planar polynomial vector fields of degree 7 are obtained. in the third part, a concrete numerical example of zt - equivariant perturbed planar hamiltonian system of degree 7 is constructed, and for the unperturbed vector field having maximal number of centers, its global phase portraits are analyzed ( having at least 9 topologically different phase portraits ). then, for a given parameter group, its phase portrait trend is studied
第一部分介紹了hilbert第16問題以及它的研究與發展現狀,給出了近年來利用李繼彬提出的判定函數法得出的z _ q -等變( g = 2 , 3 , 5 , 6 )的5次系統關於它的第二部分的研究結果;第二部分介紹了z _ q -等變向量場以及判定函數法,給出了7次平面多項式系統的所有非平凡z _ q -等變向量場具有的形式;第三部分給出了一個7次平面擾動hamilton系統,研究了它的具有最大中心數的未擾動系統( z _ 7 -等變)的全局象圖,得到了9種不同的拓撲圖形。This paper firstly applied sequential cluster method to set up the classification standard of precipitation state based on the fact that there are much uncertainty and imprecise characteristics in the precipitation course ; then this paper presented a method which is called markov chain with weights to predicted the future precipitation state by regarding the standardized self - coefficients as weights based on the special characteristics of precipitation being a dependent stochastic variable ; and applied this method to a real hydrological observation station with nearly 50 years precipitation information in shanxi province at last, an ideal result was obtained
摘要首先基於降水過程存在大量不確定性、不精確性的特點,應用有序聚類的方法建立降水豐枯狀況的分級標準;然後針對降水量為相依隨機變量的特點,採取以規范化的各階自相關系數為權重,用加權的馬爾可夫鏈模型來預測未來降水的豐枯變化狀況;最後以山西省某水文站近50年的降水資料為實例對該方法進行了具體的應用,獲得了較為滿意的結果。On the basis of collecting and processing many datum and materials. firstly. this paper analyzes main activities and cost constitutions of each stage of the life cycle of a fcs, and lay a foundation for later analysis and evaluation of system lcc. secondly, a basis method and usage range for estimating the system lcc are introduced. a multivariate linear regression model of pcs development cost and cost driven factor is built by use of the parametric method and supplies the base of cost estimation of newly - developed systems. thirdly, combine actual examples and make statistical analysis of lcc of a certain pcs developed by our institute, predict unhappened usage and service cost with grey prediction method, obtain proportion of each constitute to the lcc. forthly, according to actual conditions, use the fuzzy theory to overall evaluate efficacy of the fcs, fifthly, combimng our actual conditions, investigate specific measures of how to implement the life cycle cost management in our institute and put forward a new conception of developing web - based flight control system lcc management information system with pdm as the platform. at last, investigate important factors such as reliability and maintainability that may affect the life cycle cost of the fcs in detail, and put forward specific methods of lowering the life cycle cost of the fcs
論文在收集和整理大量資料的基礎上,首先深入分析了飛控系統壽命周期各階段的主要活動以及各階段的費用構成,為以後系統壽命周期費用的分析和評價奠定了基礎;其次,介紹了壽命周期費用估算的基本方法和使用范圍,並利用參數法建立了飛控系統研製費用與費用驅動因子的多元線性回歸模型,為新研系統的費用估算提供了依據;第三,結合實例對我所研製的某型飛控系統的壽命周期費用進行統計分析,運用灰色預測方法對未發生的使用及維修費用進行預測,得出了該系統的壽命周期費用以及各組成部分所佔比例;第四,根據實際情況,首次運用模糊理論對飛控系統的系統效能進行了綜合評價,構造了飛控系統系統效能模糊綜合評價模型;第五,結合我所實際,探討了如何在本單位實施加強壽命周期費用管理的具體措施,提出以pdm為平臺,開發基於web的飛控系統lcc管理信息系統的新構思;最後,對影響飛控系統壽命周期費用的重要因素如可靠性和維修性等進行了詳細地研究,提出了降低飛控系統壽命周期費用的具體方法。The new method of design robust h _ asac controller with mixed uncertainty is presented. the main ideal of the new method is as follows : the reduced modals are taken as additional disturbance for system, the original problem is transformed into the problem of robust performance design for the parameter uncertain system. then the parameter uncertain problem is reduced to the standard h _ control problem to solve
2 .首次基於魯棒h _控制理論,提出了設計具有復合攝動的結構振動聲輻射系統魯棒h _控制器的新方法,即:通過將未建模動態作為系統的附加干擾,把復合攝動問題的魯棒性能設計問題轉化為參數不確定系統的魯棒性能設計問題,然後將參數不確定問題變化為標準h _控制問題求解。The simulation methods and content about the mesh generation, the boundary condition of rotating wheels and moving ground of single car, and about the steady study on the two car running in row and overtaking process has shown the calculation results reliability and the numerical simulation methods feasibility. based on the comparison and analysis of mesh strategy, the descartes mesh strategy and the tetrahedron + prism mesh strategy are chosen. the continuous unsteady overtaking process of the vehicles, traveling with constant but unequal speed is replaced by a finite numerber of steps ; in each the relative position of both vehicles changes
最後利用滑動交接面技術和動網格技術進行了瞬態的轎車超過某國產大型運輸車的數值模擬研究,在此之前國內外對此項技術均未有系統的研究和可借鑒的結論,以側向間距0 . 5倍轎車車寬為典型,用定性和定量兩種方法對比分析了超車過程中的轎車和運輸車與其單車情況及前文穩態模擬的異同,並將六種側向間距的瞬態結果與單車情況和穩態模擬結果進行了對比分析。Abstract : a group of phase shifting algorithms is derived by the method of undeterminedcoefficients ( ucm ). the unknown coefficients are set in a general algorithm expression, and then solved by adding bonding equations according to error compensation requirements. thus the algorithm design and error alalysis are carried out simultaneously. phase shifting algorithms derived by this method are insensitive to one or more error sources which are considered in algorithm design
文摘:提出了一種以誤差補償為目的的新的相移演算法設計方法?待定系數法,該方法首先在演算法表達式中引入一系列待定參數,根據對誤差補償的要求提供約束方程,從而解出這些未知參數.待定系數法使得演算法設計和誤差分析是同時進行的,改變了以往先設計演算法再進行誤差分析和評價的過程,由待定系數法導出的相移演算法對演算法設計中所考慮的誤差源具有良好的補償性能To unknown slip surface slope, ascertaining the location of the critical slip surface is the key problem in the process calculating the slope stability safety factor by traditional methods
對未知滑動面邊坡,臨界滑動面位置的確定是傳統計算邊坡穩定安全系數方法中的關鍵問題。An sm based identifier is presented to deal with the parameter identification problem for a class of parameter uncertain nonlinear dynamic systems with input nonlinearity. an smc algorithm is employed to ensure the global reaching condition of the sliding mode for the nonlinear system, and an identifier is designed to identify the uncertain parameters of the nonlinear system
論文的主要內容如下:針對一類相對于輸入為非線性的系統,設計了滑模變結構控制器保證非線性系統的全局漸近穩定,在此基礎上,考慮到系統運行在滑模面上時所具有的特點,提出了一種基於滑模變結構控制的參數辨識方法來辨識非線性系統的未知參數。Then detailed, analyze the agriculture public fiscal expenditure scale through the years, made a conclusion that the total amounts of agriculture fiscal expenditure increase continuously, however the scale descends continuously. comparing with other province, henan agriculture public finance expending is very low in scale. inquiry into agriculture public finance expending scale descent, and predict future 10 - year agriculture public finance expenditure total amount ; make use of the quantitative analysis method analysis henan province agriculture public finance expenditure benefit, include the agriculture public finance expenditure to the contribution of agriculture increase, the flexibility coefficient of the agriculture public fiscal expenditure, agriculture public fiscal expenditure construction performance etc, and analyze to make the factor that invite performance ' s develop ; finally, on the above analytic foundation, put forward public finance frame bottom agriculture public fiscal expenditure funds management mode
本文首先在導言中闡述了國內外關于農業財政支出的相關理論,為后續的研究提供理論基礎和分析的方法論;然後詳細、具體地分析歷年來河南農業財政支出規模變動情況,得出農業財政支出總量雖不斷增長,支出規模卻在波動中不斷下降、與其它省份相比河南農業財政支出規模偏低的結論,探討了河南農業財政支出規模下降的原因,並預測未來十年河南農業財政支出總量;接著運用定量的分析方法分析河南農業財政支出效益情況,包括農業財政支出對農業增長的貢獻,農業財政支出的彈性系數變化,農業財政支出結構效益等,並分析制約效益發揮的因素? ?農業財政支出資金管理不善;最後,在上述分析的基礎上,提出公共財政框架下農業財政支出資金全過程管理模式,具體包括:農業財政支出投放體系、支農資金管理體系、支農項目管理體系、評估體系、決策體系以及監督體系等六大體系。However, when the plant has uncertain parameters or the variant gain coefficient of iterative leaning control, the present method has some defects, such as lipschitz continuity of nonlinear function and the dependence of convergence analysis on actually unknown ideal input
但當被控對象含有不確定的參數或迭代學習控制律的增益系數時變時,現有的方法存在很大缺陷,如要求非線性項滿足lipschitz連續性,控制律的收斂性分析依賴于實際上是未知的理想輸入,初值重置問題等。The paper attempt to applied sequential cluster method to set up the classification standard, then it regards the correlation coefficients of record values as weights and predicts the future loads by using markov chain model with weights. this method make the best of the information comprised in load series and solved the problem of obtaining weather information. not only the concrete value of the monthly sales electric energy but its range in the future is gained
實際上,各月份的氣象、經濟因素之間具有一定的相關性,這些相關信息已經包含在負荷序列中,本文嘗試將馬爾可夫鏈理論應用於負荷預測之中,應用聚類分析的方法確定分級標準,將負荷分為不同的狀態,根據狀態之間的轉移概率來推測未來負荷的發展變化,並將觀測值之間的相關系數作為權值進行綜合預測,更加合理地利用了負荷序列中包含的信息,不僅可以預測出未來負荷的具體值,而且得到了其所屬的區間,具有一定的實用價值。( 2 ) using the method of parameter identification in literature [ 117 - 118 ], selecting gain function : giving the initial value of the parameter observer from the time serial of output variables of the system, the numerical simulation result shows that the parameter observer proposed in this paper can identify the unknown parameters of the system quickly and exactly no matter if the parameters keep invariable or change in some rule, and the identifying speed is faster than the method in [ 117 - 118 ], when the unknown parameters are being identified, vith parameter compensator, it can synchronizes two hyperchaotic systems completely even if some parameters mismatch
( 2 )採用文獻[ 117 - 118 ]提出的參數辨識方法,通過選取更一般的增益函數: l _ i ( x _ i ) = kx _ ii = 1 , 2 , 3並根據系統輸出變量的時間序列給出參數觀測器的初始值來進行參數辨識,數值模擬結果表明:採用本文的參數觀測器,在系統參數固定或變化的情況下,都可對系統未知參數實現快速高精度辨識,辨識的速度快于文獻[ 117 - 118 ]提出的方法;在辨識參數的同時,結合參數補償器,使兩個參數不匹配的超混沌系統同步。Utilizing backstepping procedure, general expression of control strategy for hvdc converters is acquired. the control strategy can restrain the nonlinear uncertainty through injection of nonlinear damping terms in virtual controllers. the proposed decentralized adaptive control scheme guarantees that all the signals in the closed - loop system are bounded in the presence of high order interconnections and bounded disturbances
設計中引入自適應非線性阻尼項來抑制系統非線性不確定參數和未知有界干擾的影響,同時採用反演設計方法來克服控制器設計的復雜性,最後獲得高壓直流輸電系統換流站的分散魯棒自適應控制策略的一般表達式,並提供了整個系統的穩定性證明。This paper studies a design method of decentralized signal detection system which consists of adaptive fuzzied local - detectors and a data fusion rule of on - line self - learning weights. the local - detectors for inaccurate signal parameters are modeled by means of fuzzy sets which can be adapted to change of the inaccurate signal parameteres. the data fusion center where the optimal declsion rules are used as objective function can learn the local decision weights on - line. the robustness of the fuzzied local - detectors and the adaptability of the self - learned fusion rule make it true that the detection performance of the decentralized detection system is improved under uncertainty and this system can also process the decentralized signal detection with a unknown parameter of unknown distribution or non - random unknown parameter
本文研究了一種由局部自適應模糊檢測器和在線自學習融合演算法所構成的分散式信號檢測系統的設計方法.由模糊集對不精確信號參數的局部檢測器進行建模,該模糊模型可自適應不精確信號參數的變化.融合中心以最佳融合規則作為目標函數在線自學習局部判決的權重.局部模糊檢測器的魯棒性和自學習融合演算法的自適應性使該分散式檢測系統在不確定環境下的檢測性能得到提高.也使該系統能夠處理未知分佈的未知參數以及非隨機未知參數的分散式信號檢測1. based on mechanism model, low - degree nonlinear model of ccs is given and the simulation model of ccs is designed. the approach to get undefined parameter of dynamical simulation model is proposed
基於機理模型,引入了協調控制系統的低階非線性模型結構,構造了協調控制系統的動態模擬模型,並給出了動態模擬模型中未定參數的求取方法。分享友人