A New Type of Adaptive Controller Research on the Parameters of Chaos System

Wang, Jun; Huang, Ting-lei; Wang, Xin; Xin, Hongbo

doi:10.1109/wgec.2009.142

Cited by 2 publications

(2 citation statements)

References 2 publications

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“…Since the celebrated Ott-Grebogi-Yorke control method was given in [2], chaos control has attracted much attention [22][23]31]. Many researchers have adopted adaptive control methods to suppress chaos in chaotic systems with unknown parameters [3][4][5][6][7][8]. Most of them considered asymptotic stability of the system, while finite-time stability may make more sense in some practical situations.…”

Section: Introductionmentioning

confidence: 99%

Adaptive finite-time control for hyperchaotic Lorenz–Stenflo systems

Wang¹,

Gao²,

Zhang³

2015

Phys. Scr.

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This paper investigates the issue of adaptive finite-time control for hyperchaotic Lorenz-Stenflo systems with parameter uncertainties. Based on finite-time Lyapunov theory, a class of nonsmooth adaptive finite time controllers is given to guarantee the adaptive finite-time stability and make the states of the systems converge to the origins within a finite-time. Finally, illustrative examples are presented to verify the effectiveness of the proposed adaptive finite-time controller.

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Section: Introductionmentioning

confidence: 99%

Adaptive finite-time control for hyperchaotic Lorenz–Stenflo systems

Wang¹,

Gao²,

Zhang³

2015

Phys. Scr.

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show abstract

“…To address this problem, many researchers have adopted adaptive control methods to suppress chaos in chaotic systems with unknown parameters [2][3][4][5][6][7]. Most of them considered asymptotic stability of the system, while finite-time stability may make more sense in some practical situations.…”

mentioning

confidence: 99%

Adaptive finite-time control of chaos in permanent magnet synchronous motor with uncertain parameters

Wang

Chen

2014

Nonlinear Dyn

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Permanent magnet synchronous motor (PMSM) exhibits chaotic behavior when its parameters are within a certain range which seriously affect the stable work of PMSM. In order to eliminate the chaos, many approaches have been proposed. Most of them considered asymptotic stability of the system, while finite-time stability makes more sense in practice. In addition, parameters of PMSM may be uncertain because of some external factors, then adaptive control is a good method to be considered. In this paper, adaptive finite-time stabilization problem is considered to eliminate the chaos in PMSM system with uncertain parameters. To show the effectiveness of the proposed method, some simulation results are provided.

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A New Type of Adaptive Controller Research on the Parameters of Chaos System

Cited by 2 publications

References 2 publications

Adaptive finite-time control for hyperchaotic Lorenz–Stenflo systems

Adaptive finite-time control for hyperchaotic Lorenz–Stenflo systems

Adaptive finite-time control of chaos in permanent magnet synchronous motor with uncertain parameters

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