Adaptive control of discrete-time chaotic systems: a fuzzy control approach

Feng, Gang; Chen, Guanrong

doi:10.1016/j.chaos.2004.04.013

Cited by 115 publications

(42 citation statements)

References 22 publications

(23 reference statements)

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“…In this context, synchronisation control, stability analysis, and synchronisation characterisation have been addressed by several authors [4,12,28]. It has been observed that different synchronisation levels may be achieved between interacting dynamical systems [3].…”

Section: Introductionmentioning

confidence: 99%

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Dynamical behaviour of multi-particle large-scale systems

Lopes

Machado

2012

Nonlinear Dyn

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Collective behaviours can be observed in both natural and man-made systems composed of a large number of elemental subsystems. Typically, each elemental subsystem has its own dynamics but, whenever interaction between individuals occurs, the individual behaviours tend to be relaxed, and collective behaviours emerge. In this paper, the collective behaviour of a large-scale system composed of several coupled elemental particles is analysed. The dynamics of the particles are governed by the same type of equations but having different parameter values and initial conditions. Coupling between particles is based on statistical feedback, which means that each particle is affected by the average behaviour of its neighbours. It is shown that the global system may unveil several types of collective behaviours, corresponding to partial synchronisation, characterised by the existence of several clusters of synchronised subsystems, and global synchronisation between particles, where all the elemental particles synchronise completely.

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Section: Introductionmentioning

confidence: 99%

“…Synchronisation is a particular collective behaviour that may arise in large-scale dynamical systems and has received considerable attention recently [3,4,7,12,22,26,28,38,39]. Synchronisation may be interpreted as a process by which individual systems adjust a given property of their motion to a common behaviour [3].…”

Section: Introductionmentioning

confidence: 99%

Dynamical behaviour of multi-particle large-scale systems

Lopes

Machado

2012

Nonlinear Dyn

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“…An indirect adaptive fuzzy control of chaos based on the sliding mode control has been presented by Layeghi et al (2008). A fuzzy adaptive control of discrete time chaotic systems based on the Takagi Sugeno Kang fuzzy model has been proposed by Feng and Chen (2005). Adaptive fuzzy model based control of chaos with application to the Lorenz system has been investigated by Park et al (2002).…”

Section: Introductionmentioning

confidence: 99%

Adaptive Control of Chaos

Salarieh¹,

Shahrokhi²

2011

Chaotic Systems

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“…In recent years, Fuzzy systems are now used to study a various of problems ranging from fuzzy metric spaces [1], fuzzy topological spaces [2], to control chaotic systems [3,4], fuzzy differential equations [5][6][7] and particle physics [8][9][10][11]. The topics of fuzzy integral equations (FIEs) which attracted growing interest for some times, particularly, in relation to fuzzy control, have been developed.…”

Section: Introductionmentioning

confidence: 99%