2015
DOI: 10.1002/oca.2169
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An analysis and design method for fractional-order linear systems subject to actuator saturation and disturbance

Abstract: Summary In this paper, two methods are proposed for investigating stability of fractional‐order systems under saturated linear feedback. The first stability condition can be used for fractional‐order linear systems with nonlinear element that is Lipschitz in state. The second stability condition has been achieved by exploring the special property of saturation using an auxiliary feedback matrix. For comparison of the two analyses, domains of attraction are applied using the proposed optimizations whose conditi… Show more

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Cited by 10 publications
(2 citation statements)
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“…(Alaviyan Shahri and Balochian, 2016) The saturation function denoted by Sat(u)=sign(u)min{u,1} satisfies the Lipschitz condition.…”
Section: Fundamental Conceptsmentioning
confidence: 99%
See 1 more Smart Citation
“…(Alaviyan Shahri and Balochian, 2016) The saturation function denoted by Sat(u)=sign(u)min{u,1} satisfies the Lipschitz condition.…”
Section: Fundamental Conceptsmentioning
confidence: 99%
“…(2013), Alaviyan Shahri et al. (2015), and Alaviyan Shahri and Balochian (2015a, 2016), the stability conditions of such systems were provided using the state feedback controller. However, the model uncertainty has not been taken into account in the controller design.…”
Section: Introductionmentioning
confidence: 99%