A numerical investigation for robust stability of fractional-order uncertain systems

Bilal Senol; Abdullah Ates; B Baykant Alagoz; Celaleddin Yeroglu

doi:10.1016/j.isatra.2013.09.004

A numerical investigation for robust stability of fractional-order uncertain systems

ISA Trans. 2014 Mar;53(2):189-98. doi: 10.1016/j.isatra.2013.09.004. Epub 2013 Oct 6.

Authors

Bilal Senol¹, Abdullah Ates², B Baykant Alagoz³, Celaleddin Yeroglu⁴

Affiliations

¹ Computer Engineering Department, Inonu University, 44280 Malatya, Turkey. Electronic address: bilal.senol@inonu.edu.tr.
² Computer Engineering Department, Inonu University, 44280 Malatya, Turkey. Electronic address: abdullah.ates@inonu.edu.tr.
³ Electrical and Electronics Engineering Department, Inonu University, 44280 Malatya, Turkey. Electronic address: baykant.alagoz@inonu.edu.tr.
⁴ Computer Engineering Department, Inonu University, 44280 Malatya, Turkey. Electronic address: c.yeroglu@inonu.edu.tr.

PMID: 24103699
DOI: 10.1016/j.isatra.2013.09.004

Abstract

This study presents numerical methods for robust stability analysis of closed loop control systems with parameter uncertainty. Methods are based on scan sampling of interval characteristic polynomials from the hypercube of parameter space. Exposed-edge polynomial sampling is used to reduce the computational complexity of robust stability analysis. Computer experiments are used for demonstration of the proposed robust stability test procedures.

Keywords: Fractional-order systems; Robust stability; Uncertain coefficients; Uncertain orders.