Synchronization of uncertain chaotic systems via backstepping approach

Bowong, Samuel; Kakmeni, F. M. Moukam

doi:10.1016/j.chaos.2003.12.084

Cited by 122 publications

(43 citation statements)

References 17 publications

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“…In [14], an adaptive synchronization of Chua's system with unknown input uncertainty is considered. Using backstepping approach, synchronization of uncertain chaotic systems has been studied in [15]. Despite these advances in synchronization, most these papers are restricted to design synchronization controller without considering possible failures.…”

Section: Introductionmentioning

confidence: 99%

Robust adaptive synchronization for a class of chaotic systems with actuator failures and nonlinear uncertainty

Zhao

2013

Nonlinear Dyn

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This paper is concerned with the robust adaptive synchronization problem for a class of chaotic systems with actuator failures and unknown nonlinear uncertainty. Combining adaptive method and linear matrix inequality (LMI) technique, a novel type of robust adaptive reliable synchronization controller is proposed, which can eliminate the effect of actuator fault and nonlinear uncertainty on systems. After solving a set of LMIs, synchronization error between the master chaotic and slave chaotic systems can converge asymptotically to zero. Finally, illustrate examples about chaotic Chua's circuit system and Lorenz systems are provided to demonstrate the effectiveness and applicability of the proposed design method.

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Section: Introductionmentioning

confidence: 99%

Robust adaptive synchronization for a class of chaotic systems with actuator failures and nonlinear uncertainty

Zhao

2013

Nonlinear Dyn

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“…In [4], an adaptive synchronization of Chua's system with unknown input uncertainty is considered. Using backstepping approach, synchronization of uncertain chaotic systems has been studied in [5].…”

Section: Introductionmentioning

confidence: 99%

Adaptive Reliable Synchronization of a Class of Nonlinear Chaotic Systems

Zhao

2013

2013 5th International Conference on Intelligent Human-Machine Systems and Cybernetics

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Abstract-This paper addresses the reliable synchronization problem for a general class of uncertain chaotic systems with adaptive mechanism. By combining adaptive method and linear matrix inequality (LMI) optimization technique, an adaptive reliable synchronization controller is established to guarantee synchronization between the master chaotic and slave chaotic systems even though actuator failures occur and uncertain nonlinear term exists. Finally, an illustrate example is provided to demonstrate the effectiveness of the results developed in this paper.

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“…Some important methods can be cited as Ott-Grebogi-Yorke method [8], Pecora-Carroll method [9], backstepping method [10][11][12], sliding control method [13][14][15], active control method [16][17][18], adaptive control method [19][20], sampled-data control method [21], delayed feedback method [22], etc.…”

Section: Introductionmentioning

confidence: 99%