Next Article in Journal
Urban Air Quality Analysis and Forecast Based on Intelligent Algorithm with Parameter Optimization and Decision Rules
Previous Article in Journal
Thermoeconomic Optimization of a Hybrid Photovoltaic-Solid Oxide Fuel Cell System for Decentralized Application
Open AccessArticle

Value-Set-Based Approach to Robust Stability Analysis for Ellipsoidal Families of Fractional-Order Polynomials with Complicated Uncertainty Structure

1
Centre for Security, Information and Advanced Technologies (CEBIA-Tech), Faculty of Applied Informatics, Tomas Bata University in Zlín, nám. T. G. Masaryka 5555, 76001 Zlín, Czech Republic
2
Department of Computer Engineering, Faculty of Engineering, Inonu University, 44280 Malatya, Turkey
3
Department of Automation and Control Engineering, Faculty of Applied Informatics, Tomas Bata University in Zlín, nám. T. G. Masaryka 5555, 76001 Zlín, Czech Republic
*
Author to whom correspondence should be addressed.
Appl. Sci. 2019, 9(24), 5451; https://doi.org/10.3390/app9245451
Received: 24 October 2019 / Revised: 27 November 2019 / Accepted: 11 December 2019 / Published: 12 December 2019
(This article belongs to the Section Electrical, Electronics and Communications Engineering)
This paper presents the application of a value-set-based graphical approach to robust stability analysis for the ellipsoidal families of fractional-order polynomials with a complex structure of parametric uncertainty. More specifically, the article focuses on the families of fractional-order linear time-invariant polynomials with affine linear, multilinear, polynomic, and general uncertainty structure, combined with the uncertainty bounding set in the shape of an ellipsoid. The robust stability of these families is investigated using the zero exclusion condition, supported by the numerical computation and visualization of the value sets. Four illustrative examples are elaborated, including the comparison with the families of fractional-order polynomials having the standard box-shaped uncertainty bounding set, in order to demonstrate the applicability of this method. View Full-Text
Keywords: robust stability analysis; fractional-order systems; ellipsoidal parametric uncertainty; ellipsoidal polynomial family; complicated uncertainty structure; value set robust stability analysis; fractional-order systems; ellipsoidal parametric uncertainty; ellipsoidal polynomial family; complicated uncertainty structure; value set
Show Figures

Figure 1

MDPI and ACS Style

Matušů, R.; Şenol, B.; Pekař, L. Value-Set-Based Approach to Robust Stability Analysis for Ellipsoidal Families of Fractional-Order Polynomials with Complicated Uncertainty Structure. Appl. Sci. 2019, 9, 5451.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop