逆系數矩陣 的英文怎麼說
中文拼音 [nìxìshǔjǔzhèn]
逆系數矩陣
英文
inverse coefficient matrix- 逆 : Ⅰ形容詞1 (方向相反) contrary; counter 2 [數學] inverse; converse Ⅱ動詞1 (抵觸; 不順從) go aga...
- 系 : 系動詞(打結; 扣) tie; fasten; do up; button up
- 數 : 數副詞(屢次) frequently; repeatedly
- 矩 : 名詞1. (畫直角或正方形、矩形用的曲尺) carpenter's square; square2. (法度; 規則) rules; regulations 3. [物理學] moment
- 陣 : Ⅰ名詞1 (作戰隊伍的行列或組合方式) battle array [formation]: 布陣 deploy the troops in battle fo...
- 系數 : [數學] coefficient; ratio; modulus; quotient; factor
- 矩陣 : [數學] matrix; array
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Coordinate system of the manipulator is built, and kinematic equation is obtained. the reverse kinematics of the robot is analyzed using algebra and geometry, and the conditions to eliminate excrescent results are presented. and the working space of the mechanical arm is gained, singularity of the manipulator is analyzed
對機械臂進行了運動學分析,建立機械臂坐標系,建立正運動學方程,並採用代數法和幾何法求解機器人逆運動學問題,並給出剔除多解的條件,求解出機器人手臂的工作空間和雅可比矩陣,並對機械臂的奇異性進行分析。A general stack equation of mobile robot based on analyzing the motion of planar motion object and the mathematical models of four different kinds of common wheels is developed, accordingly, the mobility of mobile robot is addressed and the forward and inverse solutions to speed for specific configuration driven by differential speed are derived. utilizing the muir and newman convention, the description of the posture transformation matrices between different coordinate frames and the solution for the speed of point located on these frames are introduced. according to posture estimation, a more accurate method, dead reckoning algorithm, is developed for a specified configuration characterized by differential speed motorization, and simulations of this algorithm and other traditional methods are carried out using matlab while traversing a circular path
本文對兩輪差速驅動移動機器人的運動學及其本體緩沖設計進行了探討,在對平面運動物體運動分析的基礎上結合四種常用車輪的數學模型,推導出了一個通用的移動機器人堆積方程,在此基礎上分析了移動機器人的移動能力、並針對兩輪差速構型推導了速度正解與逆解;使用muir和newman的運動學建模方法,推導了移動機器人上點及連桿坐標系位姿、速度變換關系矩陣及求解方法;在移動機器人位姿識別方法中結合差速驅動構型對航位推演算法進行了分析:推導了一種理論精度較高的航位推算演算法,並使用matlab對其與傳統的推算演算法在跟蹤圓弧軌跡情況下進行了模擬;最後針對本文所研究的機器人給出了一種比較系統、可靠的緩沖結構設計思路,較好地解決了移動機器人作業過程中外界因素及本身設計中引入的各種不確定誤差問題;本論文研究成果已在本實驗室所開發的樣機上得到實現,經過應用與考核證明其中的分析與設計是切實可行的。The paper is built as follows. in chap 1, we introduce the applied context of the minimal norm least square solutions for vandermonde matrix first. the fast algorithm of the minimal norm least square solutions for vandermonde matrix with mxn order and its transpose are presented later through constructing vtv ( or wt ) and seeking their inverses
本文的結構如下:第一章先給出了vandermonde方程組的極小范數最小二乘解的一些實際應用背景,然後通過構造方陣v ~ tv (或vv ~ t )並求其逆矩陣導出了求以m n階vandermonde矩陣及其轉置,以及m n階跳行vandermonde矩陣為系數陣的線性方程組極小范數最小二乘解的快速演算法。This paper bring out design method of inverse eigenvalue problem, which adapts to general structures with linear parameters, namely coefficients of all or partial elastic component and inertial component are treated as design parameters, for given some order natural frequency and corresponding vibrating mode, all of useable designing parameters will be got through solving a linear system of equations, thereby stiffness matrix and mass matrix of actual structure are constructed. this paper also discusses existence condition and unique of results
提出了適用於具有線性參數的一般結構的逆特徵值問題的設計方法,即以系統的全部或部分的彈性元件與慣性元件的系數為設計參數,對于預先給定的若干階固有頻率及相應振型,通過求解一線性方程組即可確定全部實際可行的設計變量,從而構造出實際結構的剛度矩陣和質量矩陣,並論證了解的存在性與唯一性。This matrix takes into account all the couplings, un - uniformed amplitude and phase between the channels. this matrix is called the gain matrix or simply g - matrix. however, to measure the g - matrix is not an easy job
這種方法通過測量系統的響應函數( g矩陣)完全描述真實系統的響應,再用數值方法求g矩陣的逆矩陣來反演圖像。General pkm has no analytic positive solutions, which mirrors in the analysis of kinematic and dynamic. jacobian matrix can not be gained ; when solving the problem with the digital algorithm of gauss - elimination, the coefficient matrix of linear equations group is high degree illness
一般並聯機構沒有解析正解,反映在運動和動力學分析過程中為無法求得雅可比矩陣;當採用高斯消去法的數值解法解雅可比矩陣的方程組或求逆時會發現系數矩陣是高度病態的。In order to avoid the difficulty in computing the general inverse of flexible matrix in legendre transformation, this paper studies the mixed coordinates formulation for some quadrilateral plate bending elements instead of fully formulating in ( e, n ) plane for their original plane elasticity elements
為了克服legendre變換中對單元柔度陣求廣義逆的困難,對于原平面彈性單元是在參考坐標系中列式的情形,本文研究了在彎矩函數空間的混合坐標列式。A new robust adaptive scheme which are used for tracking of this robot with parametric and bounded external uncertainties is proposed in this thesis. the controller is consist of a controller which is proposed by slotine1 ' 1 and nonlinear continued feedback compensation part. by estimating the unknown physical parameters of robot on - line, it can eliminate the effects result by parameters and external disturbances and guarantee gas and uniform boundedness of parametric estimation. the only information required in setting up the strategy is the output states of jionts, while the inversion of the inertia matrix or estimation the bound of the inertia matrix and measure the jionts accelerations are not needed. it is shown by simulations that the proposed control scheme has quicker convergence velocity and better control precision than paper [ 1 ] and control schemes at present
針對該模型具有參數及有界外部擾動不確定性時提出了一種新的魯棒自適應控制策略,控制器由基於slotine的控制器和非線性連續反饋補償控制器構成。通過在線估計機器人的未知物理參數,有效的消除了由參數及外部擾動所引起的不確定性影響,保證系統達到漸近穩定和參數估計一致有界。與現存的許多控制方法相比,該控制策略不需求解慣性矩陣的逆或估計慣性矩陣的界,不需測量關節加速度,而唯一需要了解的只是系統輸出的位置及速度狀態。Abstract : a design method of a multi - variable inferential controller based on anew performance index is proposed. the inferential controller uses a v type control structure to avoid inverse transformation of rectangle arriving. this multi - variable inferential control system has the characteristic of simple calculation and only an adjustable parameter q array. this control system output gets the performance of dynamic decoupling of the mutivarable system
文摘:在一種新的性能指標下,提出了一種多變量推理控制器的設計方法,該控制器採用的v規范型控制器結構避免了傳遞函數矩陣求逆問題.該類多變量推理控制系統的特點是演算法簡單、僅具有一個可調參數矩陣q ,該系統實現了多變量系統的動態接耦A novel reversible coordinate transform method, need not calculating the transform coefficient matrix, based on vector operation is proposed in this paper
摘要提出了一種基於矢量運算的新的坐標變換方法,該方法具有不需要計算轉換系數矩陣、可逆的特點。Solving linear equations arise in a surprising number in the computing problems of engineering, but sometimes they are unsolvable. in this paper fast algorithms are presented which compute the minimal norm least square solutions for linear equations with special rectangular matrices coefficients, such as vandermonde matrices, toeplitz matrices, loewner matrices etc. and then, this paper presents an algorithm of computing the left inverse or right inverse for these special rectangle matrices
工程中的計算問題大部分都可轉化成求解線性方程組的問題,而這些線性方程組有的時候是不相容的,本文研究以一些特殊的長方矩陣為系數陣的不相容方程組? ? vandermonde方程組, toeplitz方程組, loewner方程組等的極小范數最小二乘解的快速演算法,以及求這些特殊矩陣的左逆及右逆的快速演算法。The explicit method is widely used for its simpleness and little memory consumed with local time step and variable coefficients implicit residual smooth to accelerate the convergence procedure. according to yoon and jameson ' s ideas, an efficient implicit lu - sgs algorithm is carefully constructed by combing the advantages of lu factorization and symmetric - gauss - seidel technique in such a way to make use the l and u operators scalar diagonal matrices, thus the numeric algorithm requires only scalar inversion. the computational efficiency is greatly improved with this scheme
顯式方法具有簡單,消耗內存小等優點,並採用當地時間步長、變系數隱式殘值光順等加速收斂措施,在定常流動的模擬中得到了廣泛的應用;根據yoon和jameson提出的簡化正、負矩陣分裂,構造的l 、 u運算元只需進行標量對角陣求逆,極大提高了流場數值求解過程的計算效率;採用newton類型的偽時間子迭代技術使時間推進精度提高至二階。This method can guarantee the solution matrix of sylvester equation to be inverse and the sum of the input gain norm and the observer gain norm is the minimum. for the linear systems with unknown parameters, we identify the parameters using hopfield network, then design the observers using the identified parameters, the exponential convergence of adaptive observer is also proved. for the linear time - varying systems, a new network to solve the time - varying sylvester equation is proposed, we analysis it ' s convergence and robustness, then, deign the linear time - varying observer using this network model, and we discuss the convergence of the observer and ruboustness to unknown match parameters
同時保證了sylvester方程的解矩陣的可逆性和觀測器的增益矩陣與輸入矩陣范數的和最小;在設計線性時不變自適應觀測器時,首先利用系統的輸入、輸出數據設計一個hopfield網路參數估計器,進一步設計狀態觀測器,證明了參數估計器和狀態觀測器的指數收斂性;為了仍然從神經優化計算的角度設計線性時變系統的狀態觀測器,最後介紹了一種求解時變sylvester矩陣方程的神經網路模型,分析了它的收斂性和魯棒性,然後利用該網路設計時變狀態觀測器,進一步討論該觀測器的在系統存在未建模不確定和外部噪聲時的魯棒性;最後給出了一種基於分離性原理和hopfield網路觀測器的狀態反饋閉環系統的結構,分析了該閉環系統的特點;對于每一種設計方法都給出了相應的數值模擬例子來進一步表明所提方法的可行性和有效性。The method of optimal parametric feedforward estimation of fading channels, which is used in tdma systems originally, is modified to cope with matrix singularity because the number of pilot signals is small in wcdma systems
當應用於wcdma系統時,因為wcdma系統的導頻信號數遠遠少於tdma系統的導頻信號數,所以在用最小二乘方法估計通道時,無法滿足導頻信號數大於兩倍多徑數的條件,導致矩陣不可逆。分享友人