Sliding mode control for uncertain input delay fractional order systems

Ammour, Amar Si; Djennoune, Saïd; Ghanes, Malek; Barbot, Jean Pierre; Bettayeb, Maâmar

doi:10.3182/20130204-3-fr-4032.00182

Cited by 7 publications

(1 citation statement)

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“…Sliding mode control was applied to synchronize fractional‐order nonlinear chaotic systems in . In , a fractional‐order sliding surface and fractional‐order state predictor were designed for fractional order systems with delay. Higher order sliding mode controllers and observers were developed in .…”

Section: Introductionmentioning

confidence: 99%

Stabilization of Fractional‐Order Linear Systems with State and Input Delay

Ammour¹,

Djennoune²,

Aggoune³

et al. 2015

Asian Journal of Control

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This paper describes a variable structure control for fractional-order systems with delay in both the input and state variables. The proposed method includes a fractional-order state predictor to eliminate the input delay. The resulting state-delay system is controlled through a sliding mode approach where the controller uses a sliding surface defined by fractional order integral. Then, the proposed control law ensures that the state trajectories reach the sliding surface in finite time. Based on recent results of Lyapunov stability theory for fractional-order systems, the stability of the closed loop is studied. Finally, an illustrative example is given to show the interest of the proposed approach.

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Section: Introductionmentioning

confidence: 99%