2011
DOI: 10.17221/58/2010-rae
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Comparison of numerical integration methods in strapdown inertial navigation algorithm

Abstract: The numerical mathematical theory provides a few ways of numerical integration with different errors. It is necessary to make use of the most exact method with respect to the computing power for a majority of microprocessors, because errors are integrated within them due to the algorithm. In our contribution, trapezoidal rule and Romberg's method of numerical integration are compared in the velocity calculation algorithm of the strapdown inertial navigation. The sample frequency of acceleration and angular vel… Show more

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Cited by 6 publications
(3 citation statements)
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“…The application of Simpson's integration technique to analyse the data and obtain displacement/velocity graphs is presented in supplementary figure S1. The 3/8 rule is about twice as accurate as the standard quadratic method and it approximates the selected function more precisely [14]. This method offers negligible error, the integral value of f (x) is calculated in the node points.…”
Section: Resultsmentioning
confidence: 99%
“…The application of Simpson's integration technique to analyse the data and obtain displacement/velocity graphs is presented in supplementary figure S1. The 3/8 rule is about twice as accurate as the standard quadratic method and it approximates the selected function more precisely [14]. This method offers negligible error, the integral value of f (x) is calculated in the node points.…”
Section: Resultsmentioning
confidence: 99%
“…However we want to increase the accuracy of localization, it is able to use feedback from MS® Kinect's three axis accelerometers. In case of information feedback from the localization process, it is possible to use the advantages of inertial navigation, because the information about the position could be obtained through the acceleration and gyro data from accelerometers and gyroscopes (Cviklovič et al, 2011). If the concrete application needs the precise mobile robot information about direction, an additional gyroscopic sensor can be used with the Cviklovič's (2013) method of calibration to achieve tolerance of ±0.5 degree.…”
Section: Resultsmentioning
confidence: 99%
“…Then, Sensor 2 measures th temperature of the seed sample located in the Cx sensor case (Figure 2). The seed sample moisture value is corrected depending of this temperature according to equation (3).…”
Section: Methodsmentioning
confidence: 99%