Work

Interval Superposition Arithmetic for Guaranteed Parameter Estimation

Year: 2019

Type: article

Abstract: The problem of guaranteed parameter estimation (GPE) consists in enclosing the set of all possible parameter values, such that the model predictions match the corresponding measurements within prescribed error bounds. One of the bottlenecks in GPE algorithms, commonly exploiting set inversion, is the construction of enclosures for the image-set of factorable functions. In this paper, we introduce a novel set-based computing method called interval superposition arithmetics (ISA) for the construction of enclosures of such image sets and its use in GPE algorithms. The main benefits of using ISA in the context of GPE lie in the improvement of enclosure accuracy and in the implied reduction of the number of set-membership tests in the set-inversion algorithm.

Source: IFAC-PapersOnLine

DOI: 10.1016/j.ifacol.2019.06.124

Authors: Junyan Su, Yanlin Zha, Kai Wang, Mario E. Villanueva, Radoslav Paulen, Boris Houska

Institutions: ShanghaiTech University, Slovak University of Technology in Bratislava

Language: English

Topic: Numerical Methods and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond