Chaos control of chaotic dynamical systems using backstepping design

Yassen, M.T.

doi:10.1016/j.chaos.2005.03.046

Cited by 142 publications

(69 citation statements)

References 16 publications

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“…The control objectives are in chaos: the stability of chaotic behavior and remove it, synchronization of chaotic systems. The idea of controlling chaos was first introduced by Ott et al [4], after them, variety of approach have been proposed for chaos control, such as: adaptive [5], fuzzy [6], sliding mode [7], impulsive [8], backstepping [9], and many more in [10].…”

Section: Introductionmentioning

confidence: 99%

Design of Intelligent Controller for Chaotic Permanent Synchronous Motor

Etemadi¹,

Zare²

2017

IJCA

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In this paper, an intelligent controller design method for the chaotic permanent magnet synchronous motor stability is presented. Active control strategy is a powerful control technique in stability chaotic systems. Learning algorithm using active control techniques, and then intelligent controller will be used. The proposed method can reduce the dimensions of the controller. A comparative study has been one with active and adaptive neural fuzzy controller. Simulation results show that the proposed controller can be chaotic permanent magnet synchronous motor will converge to the unstable equilibrium points. The controller can zero error, while has been tracking well desired value.

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Section: Introductionmentioning

confidence: 99%

Design of Intelligent Controller for Chaotic Permanent Synchronous Motor

Etemadi¹,

Zare²

2017

IJCA

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“…Therefore, various controllers have been proposed to achieve the stabilization of chaotic systems [3][4][5][6][7][8][9]. In [10], the output regulation problem for the Sprott-G chaotic system (1994) has been studied in detail.…”

Section: Introductionmentioning

confidence: 99%

Control of New 3D Chaotic System

Ziabari¹,

Sahab²

2014

IJITMC

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“…The OGY control method and the delayed feedback control presented by Pyragas (1992Pyragas ( , 2006 are the early works on controlling chaos via feedback. Recently, linear feedback control methods based on linearization and dynamic programming (Vincent andYu 1991, Merat et al 2009), nonlinear feedback control methods based on Lyapunov stability theory (Alasty and Salarieh 2007), sliding mode control (Konishi et al 1998, Arjmand et al 2008, backstepping method (Wu and Lu 2003, Yongguang and Suochun 2003, Yassen 2006) and some geometrical techniques (Tian and Yu 2000) have been widely used for chaos control in closed loop format. b) Model based and mode free control: If the control action u is calculated based on the information obtained from dynamical model of the system, the control technique is called model based method.…”

Section: Introductionmentioning

confidence: 99%