Variable time step algorithm for transient response analysis for control and optimization

Reznichenko, Igor (author), Podržaj, Primož (author), Peperko, Aljoša (author)

This work considers an optimization problem based on step response characteristics. We lay a foundation for it by designing a rapid transient response analysis algorithm with variable time steps. This method applies to linear ordinary differential equations with real order. Numerical tests of the algorithm in the integer case show significant improvement even for higher order systems. This suggests a new method for acquiring step response characteristics for the fractional order case for which we have constructed an explicit expression of the inverse Laplace transform.

• Language: English
• Keywords: control theory, algorithms, step response analysis, fractional order systems, inverse Laplace transform
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2024
• Number of pages: 16 str.
• Numbering: Vol. 12, iss. 12, [art. no.] 710
• PID: 20.500.12556/RUL-165342
• UDC: 519.62
• ISSN on article: 2504-3110
• DOI: 10.3390/fractalfract8120710
• COBISS.SI-ID: 217495299
• Publication date in RUL: 03.12.2024

Record is a part of a journal

• Title: Fractal and fractional
• Shortened title: Fractal fract.
• Publisher: MDPI AG
• ISSN: 2504-3110
• COBISS.SI-ID: 529754905

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Keywords: teorija krmiljenja, algoritmi, analiza prehodne funkcije, diferencialni sistemi delnega reda, inverzna Laplaceova transformacija

Projects

• Funder: ARIS - Slovenian Research and Innovation Agency
• Project number: P2-0270
• Name: Proizvodni sistemi, laserske tehnologije in spajanje materialov

• Funder: ARIS - Slovenian Research and Innovation Agency
• Project number: P1-0222
• Name: Algebra, teorija operatorjev in finančna matematika