scholarly journals System-Level Temperature Compensation Method for the RLG-IMU Based on HHO-RVR

2021 ◽  
Vol 2021 ◽  
pp. 1-16
Author(s):  
Hao Liang ◽  
Yumin Tao ◽  
Meijiao Wang ◽  
Yu Guo ◽  
Xingfa Zhao
Keyword(s):  
Least Square Method ◽  
Absolute Error ◽  
Performance Comparison ◽  
Compensation Method ◽  
Least Square ◽  
System Level ◽  
Measurement Unit ◽  
Error Terms ◽  
The Stability ◽  
Stability Time

The ring laser gyro inertial measurement unit has many systematic error terms and influences each other. These error terms show a complex nonlinear drift that cannot be ignored when the temperature changes, which seriously affects the stability time and output accuracy of the system. In this paper, a system-level temperature modeling and compensation method is proposed based on the relevance vector regression method. First, all temperature-related parameters are modeled; meanwhile, the Harris hawks optimization algorithm is used to optimize each model parameter. Then, the system compensation is modeled to stabilize the system output to the desired temperature. Compared with the least square method, the fitting performance comparison and the system dynamic compensation experiment prove this method’s superiority. The root mean square error, the mean absolute error, the R -squared, and the variance of residual increased by an average of 35.27%, 39.29%, 2.29%, and 30.34%, respectively.

scholarly journals Implementasi Sensor IMU untuk mengetahui Sudut Elevasi Kendaraan menggunakan Metode Least Square

2020 ◽  
Vol 8 (2) ◽  
pp. 301
Author(s):  
ERWANI MERRY SARTIKA ◽  
AUDYATI GANY ◽  
VINCENSIUS YUVENS
Keyword(s):  
Elevation Angle ◽  
Least Square Method ◽  
Absolute Error ◽  
Regression Equation ◽  
Least Square ◽  
Measurement Unit ◽  
Accelerometer Sensor ◽  
The Road ◽  
Acceleration Data ◽  
Input Acceleration

ABSTRAKKemiringan jalan menyebabkan pengendara sepeda motor lebih berhati-hati dalam mengendarai kendaraannya. Selain untuk keamanan, sudut elevasi jalan dapat mempengaruhi dalam pengendalian kendaraan sehingga dapat lebih menghemat energi. Pada paper ini sensor Inertial Measurement Unit (IMU) digunakan untuk mengetahui kemiringan kendaraan sepeda motor (naik/turun dan condong kiri/kanan). Dalam perancangannya beberapa data akselerasi dari sensor accelerometer IMU diolah dengan regresi sehingga diperoleh persamaan regresi yang kemudian digunakan untuk memperbanyak data sehingga data tersebut dapat digunakan untuk prediksi model antara 3 input nilai akselerasi dan 2 output nilai kemiringan sudut kendaraan. Prediksi model berhasil dengan indentifikasi menggunakan metode Least Square. Dari data pengamatan diperoleh bahwa rata-rata kesalahan absolut untuk kemiringan naik/turun dan condong kiri/kanan antara 5 o s/d 7 o, namun belum berhasil untuk sudut yang besar (70 o s/d 90 o).Kata kunci: IMU, accelerometer, sudut elevasi, Arduino, Least Square ABSTRACTThe slope of the road leads to awareness of motorcyclists ini riding their motorcycle addition to safety, the elevation angle of the road can affect vehicle control so that it can save more energy. In this paper the IMU sensor is used to determine the slope of a motorcycle (up / down and leaning left / right). In the design of some acceleration data from the IMU accelerometer sensor is processed so that the regression equation is obtained. The regression equation is used to generate the data to predict the model 3 input acceleration value and 2 output slope value of the vehicle. Model prediction was successful by identification using the Least Square method. Obtained from observational data that the average absolute error for the slope up / down and leaning left / right between 5 o to 7 o, but has not been successful for wide angles (70 o to 90 o).Keywords: IMU, accelerometer, elevation angle, Arduino, Least Square

scholarly journals Solution of inverse heat conduction equation with the use of Chebyshev polynomials

2016 ◽  
Vol 37 (4) ◽  
pp. 73-88 ◽  
Author(s):  
Magda Joachimiak ◽  
Andrzej Frąckowiak ◽  
Michał Ciałkowski
Keyword(s):  
Inverse Problem ◽  
Chebyshev Polynomials ◽  
Direct Problem ◽  
Least Square Method ◽  
Least Square ◽  
Random Disturbance ◽  
Inverse Heat Conduction ◽  
Chebyshev Nodes ◽  
The Difference ◽  
The Stability

AbstractA direct problem and an inverse problem for the Laplace’s equation was solved in this paper. Solution to the direct problem in a rectangle was sought in a form of finite linear combinations of Chebyshev polynomials. Calculations were made for a grid consisting of Chebyshev nodes, what allows us to use orthogonal properties of Chebyshev polynomials. Temperature distributions on the boundary for the inverse problem were determined using minimization of the functional being the measure of the difference between the measured and calculated values of temperature (boundary inverse problem). For the quasi-Cauchy problem, the distance between set values of temperature and heat flux on the boundary was minimized using the least square method. Influence of the value of random disturbance to the temperature measurement, of measurement points (distance from the boundary, where the temperature is not known) arrangement as well as of the thermocouple installation error on the stability of the inverse problem was analyzed.

Research of Binocular Positioning Mathematical Model Based on the Least Square Method

2011 ◽  
Vol 50-51 ◽  
pp. 473-477 ◽  
Author(s):  
Chun Feng Liu ◽  
Xiao Li Meng ◽  
Huan Cheng Zhang
Keyword(s):  
Relative Position ◽  
Three Dimensional ◽  
Digital Camera ◽  
Least Square Method ◽  
Absolute Error ◽  
Least Square ◽  
Specific Data ◽  
Centroid Algorithm ◽  
Three Dimensional Coordinate ◽  
The Relationship

By giving a centroid algorithm to extract pixel coordinates of each circle in the center of a circle under the coordinates, through the coordinate transformation the image coordinates can be obtained. Based on the data obtained from above to verify the model, from the specific data of the relative error, absolute error and error propagation theory to discuss the algorithm accuracy and stability. Finally using the least square method, according to the mean square error criteria for the establishment of a minimum of three-dimensional coordinate system fixed relative position of two cameras, binocular positioning mathematical models and by discussing the nature of matrix and the relationship between the relative position of the camera to calibrate the binocular digital camera.

scholarly journals A regression approach for prediction of Youtube views

2019 ◽  
Vol 8 (4) ◽  
Author(s):  
Lau Tian Rui ◽  
Zehan Afizah Afif ◽  
R. D. Rohmat Saedudin ◽  
Aida Mustapha ◽  
Nazim Razali
Keyword(s):  
Least Square Method ◽  
Absolute Error ◽  
Descent Method ◽  
Least Square ◽  
Gradient Descent Method ◽  
Ordinary Least Square ◽  
The Public ◽  
Dependent Variables ◽  
Regression Approach ◽  
The Mean

YouTube has grown to be the number one video streaming platform on Internet and home to millions of content creator around the globe. Predicting the potential amount of YouTube views has proven to be extremely important for helping content creator to understand what type of videos the audience prefers to watch. In this paper, we will be introducing two types of regression models for predicting the total number of views a YouTube video can get based on the statistic that are available to our disposal. The dataset we will be using are released by YouTube to the public. The accuracy of both models are then compared by evaluating the mean absolute error and relative absolute error taken from the result of our experiment. The results showed that Ordinary Least Square method is more capable as compared to the Online Gradient Descent Method in providing a more accurate output because the algorithm allows us to find a gradient that is close as possible to the dependent variables despite having an only above average prediction.

Spectrophotometric Study of Cobalt (II) Chlorocomplexes in Methanol in the Visible Domain

2011 ◽  
Vol 324 ◽  
pp. 170-173 ◽  
Author(s):  
Soumia Boulefred ◽  
Abdelghani Chiboub-Fellah ◽  
Fatema Zohra Chiboub-Fellah ◽  
Mustayeen Ahmed Khan
Keyword(s):  
Structural Modification ◽  
Graphical Method ◽  
Visible Region ◽  
Least Square Method ◽  
Spectrophotometric Study ◽  
Least Square ◽  
Protic Solvent ◽  
Spectra Analysis ◽  
Overall Stability ◽  
The Stability

Cobalt(II) chlorocomplexes were studied in a polar protic solvent namely methanol at 25°C. The spectrophotometric technique in the visible region was used. The studied equilibrium is: Co2++ j Cl-CoClj↔(j-2)-. Formation of three chlorocomplexes and a structural modification (Oh → Td) were obtained from recorded spectra analysis. The stability of CoCl+was studied by the graphical method of Kruh and the overall stability constants were calculated with the SIRKO program based on the least-square method. Different models were tested and the model was retained for which the best values are: log β1 = 0.92, log β2 = 1.31 and log β3 = 1.08.

scholarly journals Quality Evaluation of Wind Turbine Roller Bearing Profile in the Ultra-long Flexible Blade

2021 ◽  
Vol 251 ◽  
pp. 03082
Author(s):  
Mingshu Li ◽  
Yuhong Sun ◽  
Ling Wang ◽  
Zhiteng Gao
Keyword(s):  
Wind Turbine ◽  
Quality Evaluation ◽  
Evaluation Model ◽  
Roller Bearing ◽  
Least Square Method ◽  
Absolute Error ◽  
Least Square ◽  
Roller Profile ◽  
Quality Evaluation Model

In order to accurately measure and evaluate the quality of the roller profile of the ultra-long flexible blade bearing, an error evaluation model is established for the arc segment and the straight segment of the roller based on the least square method, and then an overall quality evaluation model is proposed based on these two error models. Through the simulation of a standard wind turbine cylindrical roller bearing, it is found that the quality evaluation model established in this work can effectively measure and evaluate the contour line of the wind turbine bearing’s roller. The overall absolute error is 0.0319 mm, which is consistent with the set random error. The overall quality evaluation model is also valid for other types of bearings commonly used in the wind turbine, which include arc and straight segments, and can be used to evaluate the error quality of the roller profile of wind turbine bearings.

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