TMsim: An Algorithmic Tool for the Parametric and Worst-Case Simulation of Systems with Uncertainties
Joint Authors
Trinchero, Riccardo
Stievano, Igor S.
Manfredi, Paolo
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-03-30
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper presents a general purpose, algebraic tool—named TMsim—for the combined parametric and worst-case analysis of systems with bounded uncertain parameters.
The tool is based on the theory of Taylor models and represents uncertain variables on a bounded domain in terms of a Taylor polynomial plus an interval remainder accounting for truncation and round-off errors.
This representation is propagated from inputs to outputs by means of a suitable redefinition of the involved calculations, in both scalar and matrix form.
The polynomial provides a parametric approximation of the variable, while the remainder gives a conservative bound of the associated error.
The combination between the bound of the polynomial and the interval remainder provides an estimation of the overall (worst-case) bound of the variable.
After a preliminary theoretical background, the tool (freely available online) is introduced step by step along with the necessary theoretical notions.
As a validation, it is applied to illustrative examples as well as to real-life problems of relevance in electrical engineering applications, specifically a quarter-car model and a continuous-time linear equalizer.
American Psychological Association (APA)
Trinchero, Riccardo& Manfredi, Paolo& Stievano, Igor S.. 2017. TMsim: An Algorithmic Tool for the Parametric and Worst-Case Simulation of Systems with Uncertainties. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1191468
Modern Language Association (MLA)
Trinchero, Riccardo…[et al.]. TMsim: An Algorithmic Tool for the Parametric and Worst-Case Simulation of Systems with Uncertainties. Mathematical Problems in Engineering No. 2017 (2017), pp.1-12.
https://search.emarefa.net/detail/BIM-1191468
American Medical Association (AMA)
Trinchero, Riccardo& Manfredi, Paolo& Stievano, Igor S.. TMsim: An Algorithmic Tool for the Parametric and Worst-Case Simulation of Systems with Uncertainties. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1191468
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1191468