Fractional order hybrid systems and their stability

Author

Hassan HosseinNia, S. ; Tejado, Ines ; Vinagre, Blas M.

Author_Institution

Dept. of Electr., Electron. & Autom. Eng., Univ. of Extremadura, Badajoz, Spain

fYear

2013

fDate

26-29 May 2013

Firstpage

128

Lastpage

133

Abstract

This paper deals with hybrid systems (HS) with fractional order dynamics and their stability. The stability of two particular types of fractional order hybrid systems (FOHS), i.e., switching and reset control systems, is studied. Common Lyapunov method, as well as its frequency domain equivalence, are generalized for the former systems and, for the latter, H_β-condition is used -frequency domain equivalence of Lyapunovlike method for reset control systems. The applicability and efficiency of the proposed methods are shown by some illustrative examples.

Keywords

Lyapunov methods; continuous systems; discrete systems; equivalence classes; frequency-domain analysis; stability; time-varying systems; FOHS; H_β-condition; Lyapunov method; fractional order dynamics; fractional order hybrid system; frequency domain equivalence; reset control system; stability; switching control system; Asymptotic stability; Frequency-domain analysis; Power system stability; Stability analysis; Switches; Switching systems; Common Lyapunov method; Fractional order hybrid system; Hβ -condition; Lyapunov-like method; Reset control system; Switching system;

fLanguage

English

Publisher

ieee

Conference_Titel

Carpathian Control Conference (ICCC), 2013 14th International

Conference_Location

Rytro

Print_ISBN

978-1-4673-4488-3

Type

conf

DOI

10.1109/CarpathianCC.2013.6560524

Filename

6560524