ADAPTIVE-SLIDING MODE CONTROL OF LORENZ HYPERCHAOTIC SYSTEM CONSIDERING UNCERTAINTIES, EXTERNAL DISTURBANCES, NONLINEAR INPUTS AND UNKNOWN PARAMETERS

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ABOOEE A.; JAHED MOTLAGH M.R.; AREFI M.M.; RAHMANI Z.

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Journal: Journal of Control Year:2011 | Volume:4 | Issue:4 Page(s): 62-73

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Title

ADAPTIVE-SLIDING MODE CONTROL OF LORENZ HYPERCHAOTIC SYSTEM CONSIDERING UNCERTAINTIES, EXTERNAL DISTURBANCES, NONLINEAR INPUTS AND UNKNOWN PARAMETERS

Author(s)

ABOOEE A. | JAHED MOTLAGH M.R. | AREFI M.M. | RAHMANI Z. | Issue Writer Certificate

Keywords

HYPERCHAOTIC SYSTEMQ3

SLIDING MODE CONTROLQ2

UNCERTAINTYQ1

CHATTERING PHENOMENONQ3

NONLINEAR CONTROL INPUTSQ3

ADAPTIVE-SLIDING SURFACESQ3

Abstract

In this paper, the dynamical model of the Lorenz HYPERCHAOTIC SYSTEM is briefly introduced. An adaptive-sliding mode control scheme is proposed to stabilize the Lorenz HYPERCHAOTIC SYSTEM in the presence of uncertainties, external disturbances, nonlinearity in the control inputs while parameters of the Lorenz system and the bounds of uncertainties and external disturbances are unknown. The mentioned control scheme is composed of two ADAPTIVE-SLIDING SURFACES and adaptation laws for unknown parameters. The Lyapunov stability theorem is used to prove the stability of sliding mode dynamics and guarantee the reaching condition. High frequency switching of control inputs is removed by substituting the sign function with a continuous sign-like function. Numerical simulations based on MATLAB software are used to verify the feasibility and effectiveness of the proposed controllers.

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APA: Copy

ABOOEE, A., JAHED MOTLAGH, M.R., AREFI, M.M., & RAHMANI, Z.. (2011). ADAPTIVE-SLIDING MODE CONTROL OF LORENZ HYPERCHAOTIC SYSTEM CONSIDERING UNCERTAINTIES, EXTERNAL DISTURBANCES, NONLINEAR INPUTS AND UNKNOWN PARAMETERS. JOURNAL OF CONTROL, 4(4), 62-73. SID. https://sid.ir/paper/120798/en

Vancouver: Copy

ABOOEE A., JAHED MOTLAGH M.R., AREFI M.M., RAHMANI Z.. ADAPTIVE-SLIDING MODE CONTROL OF LORENZ HYPERCHAOTIC SYSTEM CONSIDERING UNCERTAINTIES, EXTERNAL DISTURBANCES, NONLINEAR INPUTS AND UNKNOWN PARAMETERS. JOURNAL OF CONTROL[Internet]. 2011;4(4):62-73. Available from: https://sid.ir/paper/120798/en

IEEE: Copy

A. ABOOEE, M.R. JAHED MOTLAGH, M.M. AREFI, and Z. RAHMANI, “ADAPTIVE-SLIDING MODE CONTROL OF LORENZ HYPERCHAOTIC SYSTEM CONSIDERING UNCERTAINTIES, EXTERNAL DISTURBANCES, NONLINEAR INPUTS AND UNKNOWN PARAMETERS,” JOURNAL OF CONTROL, vol. 4, no. 4, pp. 62–73, 2011, [Online]. Available: https://sid.ir/paper/120798/en

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