Applied Soft Computing, ( ISI ), Volume (55), Year (2017-2) , Pages (576-587)

Title : ( Stable indirect adaptive interval type-2 fuzzy sliding-based control and synchronization of two different chaotic systems )

Authors: Mohammad Reza Akbarzadeh Totonchi , Seyyed Abed Hosseini , Mohammad Bagher Naghibi Sistani ,

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An indirect approach to adaptive interval type-2 fuzzy sliding mode control is proposed for the stable synchronization of two different chaotic nonlinear systems with different initial conditions under the presence of uncertainties involving process noises and external disturbances. The indirect modelbased approach to adaptation is promoted here as a more suitable strategy for the fast changes that occurs in chaotic systems. In other words, the usual direct adaptive strategies may be too slow to respond to the inherently fast changing dynamics of chaotic systems. Using Lyapunov analysis, the sliding mode approach illustrates the asymptotic convergence of synchronization error to zero as well as good robustness against external disturbances. The interval type-2 structure aims to remedy the undesirable chattering phenomenon that is common in most conventional sliding mode control applications.It also provides a more effective equivalent model in the indirect approach, which leads to improved handlingof the chaotic variations and uncertainties. Two numerical pairs of chaotic systems, i.e. the Lorenz and Chen’s systems and the Rössler system and modified Chua’s circuit are considered. In particular, in comparison with its type-1 fuzzy counterpart, the control effort is reduced by an average of 26.25% and 17.4% for the synchronization of the two corresponding systems, respectively. Furthermore, the integral of squared error is also improved by an average of 27.2% and 25.33%. This is while convergence time is reduced to less than 0.5 s and 1.5 s.

Keywords

, Chaotic systems, Indirect adaptive control, Interval type-2 fuzzy systems, Sliding mode control,
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@article{paperid:1062645,
author = {Akbarzadeh Totonchi, Mohammad Reza and Hosseini, Seyyed Abed and Naghibi Sistani, Mohammad Bagher},
title = {Stable indirect adaptive interval type-2 fuzzy sliding-based control and synchronization of two different chaotic systems},
journal = {Applied Soft Computing},
year = {2017},
volume = {55},
month = {February},
issn = {1568-4946},
pages = {576--587},
numpages = {11},
keywords = {Chaotic systems; Indirect adaptive control; Interval type-2 fuzzy systems; Sliding mode control; Synchronization},
}

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%0 Journal Article
%T Stable indirect adaptive interval type-2 fuzzy sliding-based control and synchronization of two different chaotic systems
%A Akbarzadeh Totonchi, Mohammad Reza
%A Hosseini, Seyyed Abed
%A Naghibi Sistani, Mohammad Bagher
%J Applied Soft Computing
%@ 1568-4946
%D 2017

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