Work

Variable Time Step Algorithm for Transient Response Analysis for Control and Optimization

Year: 2024

Type: article

Abstract: 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.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract8120710

Authors: Igor Reznichenko, Primož Podržaj, Aljoša Peperko

Institutions: University of Ljubljana, Institute of Mathematics, Physics, and Mechanics

Language: English

Topic: Advanced Control Systems Design

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,069

Funder: Javna Agencija za Raziskovalno Dejavnost RS