ADAPTIVE CONTROLLER FOR THE UNIFIED CHAOTIC LORENZ-CHEN-LU

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HAGHIGHATDAR FESHARAKI F.; ATAEI MOHAMMAD

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Journal: Journal of Control Year:2008 | Volume:2 | Issue:1 Page(s): 56-64

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Information Journal Paper

Title

ADAPTIVE CONTROLLER FOR THE UNIFIED CHAOTIC LORENZ-CHEN-LU

Author(s)

HAGHIGHATDAR FESHARAKI F. | ATAEI MOHAMMAD | Issue Writer Certificate

Keywords

ADAPTIVE CONTROLQ2

UNIFIED CHAOTIC SYSTEMQ3

LYAPUNOV'S STABILITY THEORYQ3

Abstract

In this paper an ADAPTIVE CONTROLler for the UNIFIED CHAOTIC SYSTEM is presented. For this purpose, a combination of linear feedbacks with constant and adaptive gains and a nonlinear adaptive state feedback is used. In this way, the Lyapunov's direct method is used to select the suitable non-linear state feedback. Moreover, the asymptotic stability guarantee of the uncertain UNIFIED CHAOTIC SYSTEM in a stochastic point on the general manifold of its equilibrium points is proved in a lemma by using non-linear feedback controller. Then, the asymptotic stability of the final controlled system in any desired point on the mentioned manifold is guaranteed by adding the linear feedback signals to the prior controlled system. This subject is proved, by using the Lyapunov's indirect method. Finally, the simulation results related to applying the controller to the UNIFIED CHAOTIC SYSTEM, in different cases, even when simultaneous-changing of the system type and the desired equilibrium point occurs are provided to show the well-acceptable performance of the proposed controller.

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APA: Copy

HAGHIGHATDAR FESHARAKI, F., & ATAEI, MOHAMMAD. (2008). ADAPTIVE CONTROLLER FOR THE UNIFIED CHAOTIC LORENZ-CHEN-LU. JOURNAL OF CONTROL, 2(1), 56-64. SID. https://sid.ir/paper/120933/en

Vancouver: Copy

HAGHIGHATDAR FESHARAKI F., ATAEI MOHAMMAD. ADAPTIVE CONTROLLER FOR THE UNIFIED CHAOTIC LORENZ-CHEN-LU. JOURNAL OF CONTROL[Internet]. 2008;2(1):56-64. Available from: https://sid.ir/paper/120933/en

IEEE: Copy

F. HAGHIGHATDAR FESHARAKI, and MOHAMMAD ATAEI, “ADAPTIVE CONTROLLER FOR THE UNIFIED CHAOTIC LORENZ-CHEN-LU,” JOURNAL OF CONTROL, vol. 2, no. 1, pp. 56–64, 2008, [Online]. Available: https://sid.ir/paper/120933/en

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