Title
Solving over-constrained systems of non-linear interval equations - And its robotic application.
Abstract
This paper presents and describes in details an original method developed to solve over-constrained systems of non-linear interval equations that arise namely in parameter identification problems deriving from physical models and uncertain measurements. Our approach consists of computing an interval enclosure of the least square solution set and an inner box of tolerable solution set. This method is applied in a detailed example and some interesting results obtained for the calibration of a cable-driven robot are shown.
Year
DOI
Venue
2017
10.1016/j.amc.2017.05.077
Applied Mathematics and Computation
Keywords
Field
DocType
65G40, 70B15, 93E24, Interval analysis, Least squares, Over-constrained system, Resolution
Least squares,Mathematical optimization,Physical model,Nonlinear system,Enclosure,Mathematical analysis,Solution set,Interval arithmetic,Robot,Calibration,Mathematics
Journal
Volume
ISSN
Citations 
313
0096-3003
0
PageRank 
References 
Authors
0.34
13
2
Name
Order
Citations
PageRank
Julien Alexandre Dit Sandretto100.34
Milan Hladík226836.33