Fixed-time synchronization of memristor chaotic systems via a new extended high-gain observer

Al‐Saggaf, Ubaid M.; Bettayeb, Maâmar; Djennoune, Saïd

doi:10.1016/j.ejcon.2021.10.002

Cited by 7 publications

(2 citation statements)

References 38 publications

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“…In the work of Ran et al, a new ESO constructive method is proposed, which transforms high‐order ESO into cascaded first‐order ESOs, and adjacent ESO is inserted with saturation function to suppress the peak phenomenon 23 . Motivated by modulating function method, predefined‐time ESO and finite‐time ESO are proposed in References 24 and 25, respectively. In this framework, time‐varying coordination transform is introduced to make the initial state of the transformed system equals to zero, and observer is not activated until the preset time arrived, therefore refraining from the peak phenomenon.…”

Section: Introductionmentioning

confidence: 99%

Nested extended state observer design for uncertain nonlinear systems under time‐varying disturbance

Su,

Wang

2023

Intl J Robust & Nonlinear

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With rising demands on system performance and reliability in engineering practice, researchers are increasingly interested in disturbance rejection control, of which state and disturbance observation is the essential element. The extended state observer (ESO, or extended high‐gain observer) is extensively utilized to compensate disturbance, nevertheless, the neglect of lumped disturbance's first derivative and peak phenomenon in classical ESO design impose obstacles to further promotion. In this article, nested ESO (NestedESO) is proposed to estimate states and disturbance simultaneously for general uncertain nonlinear systems under time‐varying disturbance. In NestedESO framework, low‐gain generalized ESO is implemented to obtain a rough estimation of lumped disturbance in the first stage. Then, a novel proportion‐filter‐derivative disturbance estimation refinement mechanism is introduced to provide accurate disturbance estimation. With refined disturbance estimation, modified Luenburger observer is put forward to reconstruct state. Besides, extension to sampled‐data systems is investigated to adapt the networked signal transmission scenario. Numerical examples are given to illustrate the validity and effectiveness of the proposed method.

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Section: Introductionmentioning

confidence: 99%

Nested extended state observer design for uncertain nonlinear systems under time‐varying disturbance

Su,

Wang

2023

Intl J Robust & Nonlinear

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“…Linear differential equations are used in Izadbakhsh and Nikdel (2021) to develop an extended state observer for a model-free chaos synchronization strategy. In Al-Saggaf et al (2022), a synchronization technique is suggested for Chua’s memristive chaotic system using filtered prescribed-time high-gain observers. It is worth mentioning that most of the previous observer-based chaos synchronization approaches are designed for particular chaotic systems.…”

Section: Introductionmentioning

confidence: 99%

Observer-based adaptive neural network control design for projective synchronization of uncertain chaotic systems

Boubakir

Labiod

2022

Journal of Vibration and Control

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This paper addresses the design of an observer-based adaptive neural network chaos synchronization scheme for a general class of uncertain chaotic systems. The controller consists of an adaptive neural network control law and an extended state observer. The parameterization of the designed extended observer and the sufficient stability conditions are derived in the light of the singular perturbation theory. The extended observer is incorporated into the controller to reconstruct the synchronization error vector as well as to estimate the error between an ideal control law and the actual control. These estimated error signals are utilized in the adaptation mechanism of the neural network weight vector. In the presented chaos synchronization method, the knowledge of the models of the master–slave systems is not required and the controller only needs the projective synchronization error for its implementation. Numerical simulations are performed along with a comparative study to demonstrate the efficiency and effectiveness of the suggested chaos synchronization approach.

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Fixed-time chaotic stabilization and synchronization of memristor chaotic circuits in noisy environments

Ma,

Huang,

2023

J. Korean Phys. Soc.

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Fixed-time synchronization of memristor chaotic systems via a new extended high-gain observer

Cited by 7 publications

References 38 publications

Nested extended state observer design for uncertain nonlinear systems under time‐varying disturbance

Nested extended state observer design for uncertain nonlinear systems under time‐varying disturbance

Observer-based adaptive neural network control design for projective synchronization of uncertain chaotic systems

Fixed-time chaotic stabilization and synchronization of memristor chaotic circuits in noisy environments

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