TY - JOUR
AU - Tueguem S, Gervis Roméo
AB - The objective of this study was to develop an optimal control approach by numerical calculus to predict how to reduce the overall uncertainty of survey instruments unable to directly measure inaccessible points. To reach our goal, two approaches were used to attain the objective. The first was inspired by mathematical models related to three methods appropriately selected and contained in Zhuo’s work proposed in 2012. These were Remote Elevation Measurement (REM), Remote Elevation Dual Measurement (REDM), and Front-to-Back Measurement (FBM) methods whose uncertainties on the measurements of points were deduced using error propagation equations. Optimal control technique helps us to show that for the REM, the height h of the prism contributed more than 70% compared to the global uncertainty for ranges S<50m from the prism. For the REDM, when the distance between two consecutive stations increases, the weight of the contribution of the two zenith angles z1 and z2 tends to 50% each for z1 close to z2, which is to be avoided. For the FBM, the weight of the contribution during the front measurement process before is negligible. The second approach used the Swedish regulation of SIS-TS 21143:2009 which classified total stations according to types of uncertainty to compare the results given by the total station of class T3 unable to directly measure inaccessible points with the more sophisticated class T1 station with direct measurements. Thus, for small spans at the rear measurements SDG=10m, the height h2 of the front prism has the greatest relative contribution more than 90% for zenithal differences z1−z2=40gon. This results of our analysis were convincing and provided designers with the data to minimize the overall uncertainties essential in the conception of total stations.
TI - Optimal control technique applied to the minimization of uncertainty measurements in surveying instruments
JO - Measurement and Control
DO - 10.1177/00202940241259907
DA - 2025-03-01
UR - https://www.deepdyve.com/lp/ios-press/optimal-control-technique-applied-to-the-minimization-of-uncertainty-6AFuBtQvPa
SP - 366
EP - 376
VL - 58
IS - 3
DP - DeepDyve
ER -