Robust synchronization and parameter identification on a class of uncertain chaotic systems

Shen, Liqun; Wang, Mao

doi:10.1016/j.chaos.2006.10.042

Cited by 30 publications

(6 citation statements)

References 14 publications

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“…To enhance the robustness of chaos synchronization, some robust techniques have been investigated (Mobayen, 2016c; Mobayen et al., 2016; Mobayen and Tchier, 2017d). The problems of robust synchronization and parameter identification have been presented (Shen and Wang, 2008) for uncertain chaotic systems with bounded unknown parameters. In Huang and Feng (2008), based on delayed feedback control, a robust H ∞ synchronization problem is presented for chaotic Lur’e systems with an energy bounded input noise.…”

Section: Introductionmentioning

confidence: 99%

Robust finite-time synchronization of a class of chaotic systems via adaptive global sliding mode control

Mobayen

Ren

et al. 2017

Journal of Vibration and Control

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This paper proposes an adaptive robust finite-time control method based on a global sliding surface for the synchronization of a class of chaotic systems. New chattering-free control laws are designed to guarantee the removal of the reaching mode and realize the existence of the sliding mode around the designed surface right from the first moment. The proposed adaptive-tuning controllers eliminate the requirement of knowledge about disturbance bounds. Using the suggested control technique, superior master–slave synchronization is achieved, the chattering problem is fully solved, and the amplitudes of the control signals are noticeably decreased. Demonstrative simulation results for a Lü chaotic system are presented to indicate the efficiency and usefulness of the proposed scheme. In the end, using a state-feedback controller, we obtain a four-dimensional system with two interesting features. First, some hyperchaotic solutions are proposed, and then a continuous bifurcation diagram showing chaos for a wide range of bifurcation parameter is presented.

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Section: Introductionmentioning

confidence: 99%

Robust finite-time synchronization of a class of chaotic systems via adaptive global sliding mode control

Mobayen

Ren

et al. 2017

Journal of Vibration and Control

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“…, ) are unknown, there are some chaos system reconstruction methods. Then the cases [63][64][65][66][67][68][69][70][71][72][73][74][75] can be thought of as special cases of chaos reconstruction, when the exact forms of chaotic differential equations = ( 1 , 2 , . .…”

Section: Mathematical Submodel Cmentioning

confidence: 99%

Identification of Unknown Parameters and Orders via Cuckoo Search Oriented Statistically by Differential Evolution for Noncommensurate Fractional-Order Chaotic Systems

Gao

Lee

Tong

et al. 2013

Abstract and Applied Analysis

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In this paper, a non-Lyapunov novel approach is proposed to estimate the unknown parameters and orders together for noncommensurate and hyper fractional chaotic systems based on cuckoo search oriented statistically by the differential evolution (CSODE). Firstly, a novel Gaos’ mathematical model is proposed and analyzed in three submodels, not only for the unknown orders and parameters’ identification but also for systems’ reconstruction of fractional chaos systems with time delays or not. Then the problems of fractional-order chaos’ identification are converted into a multiple modal nonnegative functions’ minimization through a proper translation, which takes fractional-orders and parameters as its particular independent variables. And the objective is to find the best combinations of fractional-orders and systematic parameters of fractional order chaotic systems as special independent variables such that the objective function is minimized. Simulations are done to estimate a series of noncommensurate and hyper fractional chaotic systems with the new approaches based on CSODE, the cuckoo search, and Genetic Algorithm, respectively. The experiments’ results show that the proposed identification mechanism based on CSODE for fractional orders and parameters is a successful method for fractional-order chaotic systems, with the advantages of high precision and robustness.

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“…In order to enhance the robustness of chaotic synchronization, Lenz proposed the robust control method of Lorenz system [40], and Mobayen also presented some robust control technologies [41,42]. Shen proposed robust synchronization and parameter identification for uncertain chaotic systems with bounded unknown parameters [43]. Ji presented a robust adaptive backstepping synchronization approach for the estimation of uncertain chaotic systems with parameter uncertainties and external disturbances via a fuzzy disturbance observer [44].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis and Robust Control of a Chaotic System with Hidden Attractor

et al. 2021

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In this paper, a 3D jerk chaotic system with hidden attractor was explored, and the dissipativity, equilibrium, and stability of this system were investigated. The attractor types, Lyapunov exponents, and Poincare section of the system under different parameters were analyzed. Additionally, a circuit was carried out, and a good similarity between the circuit experimental results and the theoretical analysis testifies the feasibility and practicality of the original system. Furthermore, a robust feedback controller was designed based on the finite-time stability theory, which guarantees the synchronization of 3D jerk master-slave system in finite time and asymptotically converges to the origin. Finally, we also give verification for the discussion in this paper by numerical simulation.

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Robust synchronization and parameter identification on a class of uncertain chaotic systems

Cited by 30 publications

References 14 publications

Robust finite-time synchronization of a class of chaotic systems via adaptive global sliding mode control

Robust finite-time synchronization of a class of chaotic systems via adaptive global sliding mode control

Identification of Unknown Parameters and Orders via Cuckoo Search Oriented Statistically by Differential Evolution for Noncommensurate Fractional-Order Chaotic Systems

Dynamic Analysis and Robust Control of a Chaotic System with Hidden Attractor

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