A design of chaos synchronizing system using adaptive observer

Suzuki, Yukihito; Iwase, Masami; Hatakeyama, S.

doi:10.1109/sice.2002.1195775

Cited by 5 publications

(11 citation statements)

References 5 publications

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“…Theorem 2: If there exists a symmetric matrix , matrices and and and , and constant matrix such that conditions(16)- (19) are satisfied simultaneously for every pair of and at and ,…”

Section: B Alternative Synchronization Structurementioning

confidence: 99%

“…Proof: The proof follows by direct application of the second Lyapunov stability theory with Lyapunov function as . Remark 2: As mentioned earlier, there are only one or two pairs of parameters shown in the inequality condition (19). With simple algebraic transformations, we can still rewrite the inequality condition such that the effect of the varying parameters and is taken off, and then solve the condition easily by using the LMI technique.…”

Section: B Alternative Synchronization Structurementioning

confidence: 99%

“…For the second synchronization structure, solving the conditions (16)- (19) using LMIs, we obtain With the same initial conditions, the simulation results are shown in Fig. 9.…”

Section: B Lorenz Systemmentioning

confidence: 99%

“…Adaptive synchronization methods have been proposed by Suzuki [19], Lian [9], and Lu [12]. Yan [22] gave a sliding-mode control method for robust synchronization of unified chaotic systems.…”

Section: Introductionmentioning

confidence: 99%

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Robust Gain Scheduling Synchronization Method for Quadratic Chaotic Systems With Channel Time Delay

Liang

Marquez

2009

IEEE Trans. Circuits Syst. I

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In this paper, a general robust gain scheduling synchronization method is proposed for quadratic chaotic systems with parametric uncertainty and unknown channel time delay. Quadratic systems contain nonlinearity of quadratic form of the systems' states and can always be transformed into linear parameter-varying (LPV) forms. Based on the LPV forms, our approach provides two different gain scheduling structures to achieve global synchronization under the case of having parametric uncertainty and time delay. The convergence of synchronization errors is demonstrated using Lyapunov stability theory.

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“…Theorem 2: If there exists a symmetric matrix , matrices and and and , and constant matrix such that conditions(16)- (19) are satisfied simultaneously for every pair of and at and ,…”

Section: B Alternative Synchronization Structurementioning

confidence: 99%

Section: B Alternative Synchronization Structurementioning

confidence: 99%

“…For the second synchronization structure, solving the conditions (16)- (19) using LMIs, we obtain With the same initial conditions, the simulation results are shown in Fig. 9.…”

Section: B Lorenz Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Robust Gain Scheduling Synchronization Method for Quadratic Chaotic Systems With Channel Time Delay

Liang

Marquez

2009

IEEE Trans. Circuits Syst. I

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“…However, the synchronization control of chaos systems, due to its great potential and prospect, has attracted wide attention from scholars home and abroad. A variety of chaos synchronization method has been proposed, since the driveresponse synchronization method first proposed by Pecora and Carroll in 1990 [1], such as nonlinear feedback method [2], sliding mode variable structure control method [3][4][5], H∞ robust control synchronization method [6], observer synchronization method [7] and so on. But most control methods are determined on the assumption that model parameters remain unchanged and no external disturbance given, even take the impact of external disturbances into account, usually just consider the disturb satisfies matching condition.…”

Section: Introductionmentioning

confidence: 99%

Non-singular Terminal Sliding Mode Synchronization Control for Unmatched Uncertainties of Chaos Systems

Zhang

Liu

Wang

2011

2011 Fourth International Conference on Intelligent Computation Technology and Automation

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Propose a rapid sliding mode synchronization method with non-singular terminal for unmatched uncertainties of chaos systems. Through the design of switching surface of sliding mode and corresponding nonsingular terminal sliding mode control strategy, making the two chaotic systems with unmatched uncertainties can be synchronized in finite time. Simulation results show that the proposed method reduce the chattering of sliding mode control, make the synchronization time shorter and has better robustness on parameter uncertainty and uncertain external disturbances.

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