Real-Time Identification of Ill-Conditioned Structures

1990 ◽  
Vol 112 (3) ◽  
pp. 181-186 ◽  
Author(s):  
Kamal A. F. Moustafa
Keyword(s):  
Real Time ◽  
Perturbation Technique ◽  
Mass Matrix ◽  
Least Square Method ◽  
Least Square ◽  
Singular Perturbation Technique ◽  
Response Measurement ◽  
Domain Identification ◽  
Stiffness Matrices ◽  
Identification Technique

The dynamical characteristics of structures, that could be ill-conditioned, is represented in this paper by a linear multi-degree of freedom canonical model. A time domain identification technique is suggested to estimate the mass, damping and stiffness matrices, in real-time, by using excitation-response measurement records. A singular perturbation technique is used to deal with ill-conditioning of the mass matrix. The least square method is applied to recover the unknown matrices. A numerical example is presented to verify the results. The possibility of applying the proposed technique to offshore towers is indicated.

Experimental Identification Technique of Nonlinear Beams in Time Domain

1997 ◽  
Author(s):  
Kimihio Yasuda ◽  
Keisuke Kamiya
Keyword(s):  
Time Domain ◽  
Harmonic Balance ◽  
Least Square Method ◽  
Least Square ◽  
Governing Equations ◽  
Experimental Identification ◽  
Initial Values ◽  
Nonlinear Beams ◽  
Identification Technique ◽  
The Time Domain

Abstract In previous papers the authors proposed a new experimental identification technique applicable to elastic structures. The proposed technique is based on the principle of harmonic balance, and can be classified as the frequency domain technique. The technique requires the excitation force to be periodic. This is in some cases a restriction. So another technique free from this restriction is of use. In this paper, as a first step for developing such techniques, a technique applicable to beams is proposed. The proposed technique can be classified as the time domain one. Two variations of the technique are proposed, depending on what methods are used for estimating the parameters of the governing equations. The first method is based on the usual least square method. The second is based on solving a minimization problem with constraints. The latter usually yields better results. But in this method, an iteration procedure is used, which requires initial values for the parameters. To determine the initial values, the first method can be used. So both methods are useful. Finally the applicability of the proposed technique is confirmed by numerical simulation and experiments.

MICROCONTROLLER-BASED FOR SYSTEM IDENTIFICATION TOOLS USING LEAST SQUARE METHOD FOR RC CIRCUITS

2015 ◽  
Vol 77 (28) ◽  
Author(s):  
Ang Jia Yi ◽  
M. S. Abdul Majid ◽  
Azuwir M. N. ◽  
S. Yaacob
Keyword(s):  
Mathematical Model ◽  
System Identification ◽  
Least Square Method ◽  
Least Square ◽  
Real Time System ◽  
System Identification Method ◽  
Identification Method ◽  
Verification Methods ◽  
Identification Technique ◽  
Rc Circuit

System identification is one of the method to construct a plant mathematical model from experimental data. This method has been widely applied in the automatic control, aviation, spaceflight medicine, society economics and other fields more. With the rapid growth of the science and technology, the system identification technique has increasingly grown in various applications. Since most of the system identification devices are off-line base, this means that the system identification can only be done after collecting the data and process through a computer devices. This paper will show how to process system identification method with real-time system. This method required a microcontroller as the medium to perform. That’s why the system identification method will be programmed into a microcontroller, based on Least Square Method. Later, the system will be tested on a RC circuit to see the effect of the signal and the mathematical model obtained. The data will undergo the system identification toolbox for process using ARX and ARMAX model. On the other hand, the data will also be collected using the microcontroller created for analysis purpose. To ensure the validity of the model some verification methods are performed. Results show that the Least Square Method using Microcontroller base has the capability to work as a system identification tools.

scholarly journals Measurement Time Reduction by Means of Mathematical Modeling of Enzyme Mediated RedOx Reaction in Food Samples Biosensors

Sensors ◽  
2021 ◽  
Vol 21 (9) ◽  
pp. 2990
Author(s):  
Arantzazu Florez ◽  
Elena Murga ◽  
Itziar Ortiz de Zarate ◽  
Arrate Jaureguibeitia ◽  
Arkaitz Artetxe ◽  
...  
Keyword(s):  
Real Time ◽  
Food Industry ◽  
Enzymatic Reaction ◽  
High Sensitivity ◽  
Least Square Method ◽  
Food Samples ◽  
Least Square ◽  
Measurement Time ◽  
Exponential Decay Model ◽  
Mathematical Approximation

The possibility of measuring in real time the different types of analytes present in food is becoming a requirement in food industry. In this context, biosensors are presented as an alternative to traditional analytical methodologies due to their specificity, high sensitivity and ability to work in real time. It has been observed that the behavior of the analysis curves of the biosensors follow a trend that is reproducible among all the measurements and that is specific to the reaction that occurs in the electrochemical cell and the analyte being analyzed. Kinetic reaction modeling is a widely used method to model processes that occur within the sensors, and this leads to the idea that a mathematical approximation can mimic the electrochemical reaction that takes place while the analysis of the sample is ongoing. For this purpose, a novel mathematical model is proposed to approximate the enzymatic reaction within the biosensor in real time, so the output of the measurement can be estimated in advance. The proposed model is based on adjusting an exponential decay model to the response of the biosensors using a nonlinear least-square method to minimize the error. The obtained results show that our proposed approach is capable of reducing about 40% the required measurement time in the sample analysis phase, while keeping the error rate low enough to meet the accuracy standards of the food industry.

Study on the Navigation of Patrol Robot of Transformer Substation Based on Color Vision and RFID

2011 ◽  
Vol 268-270 ◽  
pp. 1259-1264 ◽  
Author(s):  
Song Hai Fan ◽  
Dong Xue Xia
Keyword(s):  
Real Time ◽  
Color Vision ◽  
Radio Frequency Identification ◽  
Color Space ◽  
Least Square Method ◽  
Least Square ◽  
Image Process ◽  
Position Information ◽  
Time Performance ◽  
Transformer Substation

The robustness and real-time performance are of the greatest significance for the navigation of the patrol robot in the transformer substation. To meet this demand, a navigation and position approach is presented in this paper based on color vision and RFID(Radio Frequency Identification) technology. In the presented system, the position information is provided by RFID tags and navigation is completed by the extraction of guidelines. Based on the deep analysis of the advantages and shortcoming of different color space, a new approach integrating the good real-time performance of grayscale image process and rich information in color images process is presented to improve the robustness and real-time performance of navigation. Fast Hough transform is selected and combined with least square method to detect the navigation line. Experimental results show that the presented method can meet the real-time and robust demand of the navigation of patrol robot.

Real-Time Monitoring for Vehicle Brake Temperature Rise in Continuous Long Downhill

2013 ◽  
Vol 300-301 ◽  
pp. 916-919
Author(s):  
Wen Liang Li ◽  
Wei Zhou ◽  
Li Gao ◽  
Ying Chen
Keyword(s):  
Real Time ◽  
Test Data ◽  
Temperature Rise ◽  
Least Square Method ◽  
Energy Balance Equation ◽  
Calculation Model ◽  
Least Square ◽  
Real Time Monitoring ◽  
Dissipation Energy ◽  
Monitoring Method

A real-time monitoring method for brake temperature rise in continuous long downhill with constant velocity braking is proposed. Longitudinal equilibrium equation and energy balance equation are built, and the proportion of brake dissipation energy in total is analyzed. The influence of velocity on brake dissipation energy is studied, then, the calculation model for brake temperature rise is built with the empirical formula of the proportion of bake absorption energy in dissipation energy. Finally, the undetermined coefficient of the calculation model for brake temperature rise is determined with least square method based on test data. The studies show that temperature rise calculated by the built model is similar to the test data both in magnitude and variation trend.

An Algorithm Based on SURF for Surveillance Video Mosaicing

2011 ◽  
Vol 267 ◽  
pp. 746-751 ◽  
Author(s):  
Ke You Guo ◽  
Song Ye ◽  
Hu Ming Jiang ◽  
Chun Yu Zhang ◽  
Kai Han
Keyword(s):  
Real Time ◽  
Least Square Method ◽  
Least Square ◽  
Surveillance Video ◽  
Sift Algorithm ◽  
Related Function ◽  
Accuracy Requirement ◽  
Video Mosaicing ◽  
Wide Range ◽  
The Ideal

Using the SIFT algorithm for image mosaicing is the study hotspot in recent years, which is in a wide range of applications. SIFT algorithm of large amount of data and the time-consuming calculation method is not applicable in higher real-time video mosaicing. Firstly using SURF extracts feature points, secondly using the nearest matching method, RANSAC and least-square method solve the homography matrix between images, and finally using normalized covariance related function for obtaining the best effect of the homography matrix. The algorithm not only meets the accuracy requirement of parameter estimation, but also has smaller computation and faster speed than SIFT. It has proved that the algorithm used in this paper has good real-time performance, high accuracy and the ideal effect, which can satisfy the requirement of real-time mosaicking.

A Design of Algorithm for Excimer Laser Coaxial Observation Automatic Tracking Processing System

2013 ◽  
Vol 706-708 ◽  
pp. 589-592 ◽  
Author(s):  
Zheng Yang Xie ◽  
Tao Chen ◽  
Ning Liu ◽  
Shi Bing Liu ◽  
Ji Ming Chen
Keyword(s):  
Real Time ◽  
Excimer Laser ◽  
Processing System ◽  
Least Square Method ◽  
Stability Control ◽  
Least Square ◽  
Line Center ◽  
Straight Line ◽  
Real Time Tracking ◽  
Processing Platform

This paper proposed a design of algorithm of an excimer laser coaxial observation processing system which can automatically track preset line. With using of the Visual C + + image processing technology and the least square method, the XY axis in both directions of processing platform can obtain accurate processing displacement, and stability control platform for real-time tracking a straight line center. Processing system can acquire the coordinate of processing place where can get the distance from the centre of image in order to achieve real-time tracking.

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