Multidimensional scaling analysis of generalized mean discrete-time fractional order controllers

• Type: Article in International Scientific Journal
• Date: 2021

Authors

António Mendes Lopes (Author) FEUP; J. A. Tenreiro Machado (Author) Other

Journal

Title: Communications in Nonlinear Science and Numerical Simulation

Vol. 95

Pages: 1-11

ISSN: 1007-5704

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 3 Citations

Other information

Authenticus ID: P-00T-7GJ

DOI: 10.1016/j.cnsns.2020.105657

Abstract (EN): The dynamics of discrete-time fractional order control systems depends on the method used for implementing the fractional derivatives and integrals. A reliable numerical approach adopts the generalized mean of the continuous to discrete conversion. The extra freedom provided by the proposed method must be carefully optimized by the user. This paper investigates the use of multidimensional scaling for evaluating and visualizing the performance of generalized mean discrete-time fractional controllers. Two alternative performance indices are adopted for comparing the time and frequency responses of the controlled system when adopting different combinations of the parameters. Numerical experiments with a fractional PID and two linear plants demonstrate the feasibility of the method for comparing and visualizing multiple test cases.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11