Sliding mode active disturbance rejection control for uncertain nonlinear fractional-order systems

Djeghali, Nadia; Bettayeb, Maâmar; Djennoune, Saïd

doi:10.1016/j.ejcon.2020.03.008

Cited by 17 publications

(8 citation statements)

References 33 publications

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“…Lemma 2 (see [10]). Suppose that y ∈ C 1 [0, t 0 ] where t 0 ∈ R + and 0 < α ≤ 1. e following results hold:…”

Section: Preliminariesmentioning

confidence: 99%

“…So chaotic synchronization is very important, but there are certain difficulties. ere are already some synchronization methods in this respect, such as active control [4,5], nonlinear state observer method [6,7], sliding mode control method, and adaptive feedback control method [8][9][10]. However, the above methods are all applied to a class of FOCSs, and few general methods can be applied to any FOCSs.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic Behavior Analysis and Robust Synchronization of a Novel Fractional-Order Chaotic System with Multiwing Attractors

Wang

2021

Journal of Mathematics

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To enrich the types of multiwing chaotic attractors in fractional-order chaotic systems (FOCSs), a new type of 3-dimensional FOCSs is designed in this study. The most important contribution of this FOCS consists in the coexistence of multiple multiwing chaotic attractors, including 2-wing, 3-wing, and 4-wing attractors. It is also indicated that the minimum order that the system can exhibit chaotic behavior is 0.84. Then, based on certain fractional stability criteria, a robust synchronization controller is derived for this kind of FOCSs with multiwing chaotic attractors and parametric uncertainties, and the stability of the synchronization error is proven strictly. Meanwhile, the theoretical analysis is tested by simulation results.

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“…Lemma 2 (see [10]). Suppose that y ∈ C 1 [0, t 0 ] where t 0 ∈ R + and 0 < α ≤ 1. e following results hold:…”

Section: Preliminariesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamic Behavior Analysis and Robust Synchronization of a Novel Fractional-Order Chaotic System with Multiwing Attractors

Wang

2021

Journal of Mathematics

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“…The SMC and adaptive SMC for variable order FONs were given in reference [19]. An active disturbance rejection SMC was proposed for uncertain single input single output nonlinear fractional‐order systems [20]. However, the methods above assumed that the system states can be observed completely.…”

Section: Introductionmentioning

confidence: 99%

Adaptive H_∞ Observer‐Based Sliding Mode Control for Uncertain Fractional‐Order Nonlinear Systems

Huang

Xie

Gao

et al. 2023

IEEJ Transactions Elec Engng

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In this paper, the robust control problem is investigated for fractional‐order nonlinear systems(FONS) with the unknown‐but‐bounded parametric uncertainties and the external disturbances. First, an H∞$$ {H}_{\infty } $$ adaptive observer is designed to estimate the system states and the unknown parameters. Then based on the observer, a fractional‐order sliding mode controller is designed and the asymptotic stability sufficient condition is derived for the closed‐loop system on the basis of Lyapunov stability criterion. The control strategy can not only realize the system stabilization, but also estimate the system unknown parameters and the system states. Moreover, a fractional‐order power type continuous function is adopted to replace the traditional sign function in the switch control component, the proposed method can avoid the chattering phenomenon. Finally, the simulation results demonstrate the feasibility and effectiveness of the presented method. © 2023 Institute of Electrical Engineers of Japan. Published by Wiley Periodicals LLC.

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“…In ref. [15], a sliding mode extended state observer (SMESO) for both uncertainties and external disturbances estimation is proposed. Then, a sliding mode controller using the estimated states and total disturbance is presented to compensate of the total disturbance.…”

Section: Introductionmentioning

confidence: 99%

Novel Active Disturbance Rejection‐Based Sliding‐Mode Control for Permanent Magnet Linear Synchronous Motor Drives

Yuan,

Guo,

Zhang

et al. 2023

IEEJ Transactions Elec Engng

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Active disturbance rejection control (ADRC) has been widely used in the permanent magnet linear synchronous motor (PMLSM) drive system for its strong anti‐disturbance ability and fast response speed. However, a large number of adjustment parameters add difficulties to its application. To solve this problem, a novel sliding mode‐based active disturbance rejection control (SM‐ADRC) with autotuned parameters is proposed in this paper. In this control strategy, the SM is incorporated with extended state observer (ESO) and nonlinear state error feedback (NLSEF) to reduce the number of adjustment parameters. The simulated annealing particle swarm optimization (SAPSO) algorithm is carried out to achieve the optimal configuration and realize parameter self‐tuning. The experimental results of the PMLSM speed servo system demonstrate the proposed control method has better suppression of chattering effect, disturbance rejection ability and fast dynamic response. © 2023 Institute of Electrical Engineer of Japan and Wiley Periodicals LLC.

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Sliding mode active disturbance rejection control for uncertain nonlinear fractional-order systems

Cited by 17 publications

References 33 publications

Dynamic Behavior Analysis and Robust Synchronization of a Novel Fractional-Order Chaotic System with Multiwing Attractors

Dynamic Behavior Analysis and Robust Synchronization of a Novel Fractional-Order Chaotic System with Multiwing Attractors

Adaptive H_∞ Observer‐Based Sliding Mode Control for Uncertain Fractional‐Order Nonlinear Systems

Novel Active Disturbance Rejection‐Based Sliding‐Mode Control for Permanent Magnet Linear Synchronous Motor Drives

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Sliding mode active disturbance rejection control for uncertain nonlinear fractional-order systems

Cited by 17 publications

References 33 publications

Dynamic Behavior Analysis and Robust Synchronization of a Novel Fractional-Order Chaotic System with Multiwing Attractors

Dynamic Behavior Analysis and Robust Synchronization of a Novel Fractional-Order Chaotic System with Multiwing Attractors

Adaptive H∞ Observer‐Based Sliding Mode Control for Uncertain Fractional‐Order Nonlinear Systems

Novel Active Disturbance Rejection‐Based Sliding‐Mode Control for Permanent Magnet Linear Synchronous Motor Drives

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Adaptive H_∞ Observer‐Based Sliding Mode Control for Uncertain Fractional‐Order Nonlinear Systems