Stability and Stabilization of Fractional-Order Linear Systems Subject to Input Saturation

Author

Young-Hun Lim ; Kwang-Kyo Oh ; Hyo-Sung Ahn

Author_Institution

Sch. of Mechatron., Gwangju Inst. of Sci. & Technol. (GIST), Gwangju, South Korea

Volume

58

Issue

4

fYear

2013

fDate

Apr-13

Firstpage

1062

Lastpage

1067

Abstract

In this technical note, we provide a method for the asymptotic stabilization of fractional-order linear systems subject to input saturation. Gronwall-Bellman lemma and sector bounded condition of the saturation function are exploited for stability analysis and stabilization of such systems. Based on the proposed stability condition, we provide a bilinear matrix inequality for stability test and an algorithm for estimation of the stable region. Further, we provide an algorithm for state-feedback controller design that maximizes the estimated stable region.

Keywords

asymptotic stability; control system synthesis; estimation theory; linear matrix inequalities; linear systems; state feedback; Gronwall-Bellman lemma; asymptotic stabilization; bilinear matrix inequality; estimation algorithm; fractional order linear systems; input saturation; stability analysis; state-feedback controller design; Algorithm design and analysis; Asymptotic stability; Closed loop systems; Linear systems; Stability analysis; Symmetric matrices; Trajectory; Fractional-order (FO) system; input saturation; sector bounded condition; stable region;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2012.2218064

Filename

6299138