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Flatness-Based Adaptive Neurofuzzy Control of Chaotic Dynamical Systems

G. Rigatos, P. Siano
2016 Intelligent Industrial Systems  
An adaptive fuzzy controller is designed for chaotic dynamical systems, under the constraint that the system's model is unknown.  ...  The paper proposes a solution to the problem of control of nonlinear chaotic dynamical systems, which is based on differential flatness theory and on adaptive fuzzy control.  ...  In "Nonlinear Feedback Control of Chaotic Systems Based on Takagi-Sugeno Fuzzy Modelling" section nonlinear feedback control for chaotic dynamical systems is developed with the use of Takagi-Sugeno fuzzy  ... 
doi:10.1007/s40903-016-0055-8 fatcat:kzimjz5b6zc6bnic7pwv7qyfpe

A decentralized adaptive robust method for chaos control

Hamid-Reza Kobravi, Abbas Erfanian
2009 Chaos  
This paper presents a control strategy, which is based on sliding mode control, adaptive control, and fuzzy logic system for controlling the chaotic dynamics.  ...  For controlling chaos in high dimensions, we design a set of independent adaptive robust controllers. Each state variable of chaotic system has its own controller.  ...  The method does not require any knowledge about the equation of system dynamics. To design the controller, a model of chaotic system should be first identified.  ... 
doi:10.1063/1.3183806 pmid:19791991 fatcat:otzkwjibefaf7jwmtujqjkftve

Synchronization of Chaotic Systems Using Time-Delayed Fuzzy State-Feedback Controller

H.K. Lam, Wing-Kuen Ling, H.H.-C. Lu, S.S.H. Ling
2008 IEEE Transactions on Circuits and Systems Part 1: Regular Papers  
To investigate the system stability and facilitate the design of fuzzy controller, T-S fuzzy models are employed to represent the system dynamics of the chaotic systems.  ...  This paper presents the fuzzy-model-based control approach to synchronize two chaotic systems subject to parameter uncertainties.  ...  The fuzzy-model-based control approach has combined with adaptive ability [6] - [11] to deal with chaotic systems subject to parameter uncertainties.  ... 
doi:10.1109/tcsi.2008.916430 fatcat:6u2nryxlg5cyzlqzcvbpgeifla

An adaptive fuzzy observer-based approach for chaotic synchronization

Chen-Sheng Ting
2005 International Journal of Approximate Reasoning  
Based on this model, an adaptive fuzzy observer is developed to deal with the synchronization of nonidentical chaotic systems.  ...  This paper presents an adaptive fuzzy observer design to synchronize chaotic systems.  ...  Feki [7] designed complete adaptive observer-based response system to synchronize chaos with parameter uncertainties.  ... 
doi:10.1016/j.ijar.2004.10.011 fatcat:c2oy6dtktzccvd73ut5s5ddif4

Fuzzy Adaptive Prescribed Performance Control for MIMO Uncertain Chaotic Systems in Nonstrict Feedback Form

Yeguo Sun, Heng Liu
2014 Discrete Dynamics in Nature and Society  
Based on the error transformation technique, a fuzzy adaptive controller is designed for the unconstrained system.  ...  This paper presents a fuzzy adaptive control method for MIMO uncertain chaotic systems in nonstrict feedback form, which is capable of guaranteeing the prescribed performance bounds.  ...  Acknowledgment This work was partly supported by the University Natural Science Foundation of Anhui Province no.  ... 
doi:10.1155/2014/192387 fatcat:islpfnjlarfvbmcagbj5tbbosu

Controlling Chaos: Suppression, Synchronization and Chaotification (Zhang, H., et al; 2009) [Book Review]

Wing-kuen Ling
2011 IEEE Computational Intelligence Magazine  
Finally, an adaptive controller is designed to synchronize discrete time chaotic systems with parametric perturbations.  ...  Two new methods based on parametric adaptive controls are developed for controlling chaotic systems with multiple parameters.  ... 
doi:10.1109/mci.2010.939582 fatcat:gesuxi4uhffedpqscu4jvpmdpq

Unified impulsive fuzzy-model-based controllers for chaotic systems with parameter uncertainties via LMI

Xiaohong Zhang, Anmar Khadra, Dan Yang, Dong Li
2010 Communications in nonlinear science & numerical simulation  
In this paper, a novel technique based on impulsive fuzzy T-S model is proposed for controlling chaotic systems with parameter uncertainties.  ...  Please cite this article in press as: Zhang X et al., Unified impulsive fuzzy-model-based controllers for chaotic systems .  ...  obtained from the underlying dynamical system was developed for modeling the adaptive control of an unknown chaotic system.  ... 
doi:10.1016/j.cnsns.2008.12.007 fatcat:vbmwyrm5nzh6lpsv4bt4meyof4

Page 8026 of Mathematical Reviews Vol. , Issue 2003j [page]

2003 Mathematical Reviews  
fuzzy model based controller for chaotic dynamics in Lorenz systems with uncertainty.  ...  An adaptive fuzzy control (AFC) scheme based on well-known Takagi-Sugeno (T-S) fuzzy models for the MIMO plants is constructed.  ... 

Composite adaptive fuzzy control for synchronizing generalized Lorenz systems

Yongping Pan, Meng Joo Er, Tairen Sun
2012 Chaos  
This paper presents a methodology of asymptotically synchronizing two uncertain generalized Lorenz systems via a single continuous composite adaptive fuzzy controller (AFC).  ...  [http://dx.doi.org/10.1063/1.4721901] In this study, a novel composite adaptive fuzzy controller (AFC) with asymptotic tracking performance is developed to synchronize two uncertain generalized Lorenz  ...  ACKNOWLEDGMENTS The authors would like to acknowledge reviewers for their useful suggestions that have greatly improved the quality of this manuscript.  ... 
doi:10.1063/1.4721901 pmid:22757551 fatcat:cbzh7n47ofauji7eeey5gc3sue

Robusts Adaptive Interval Type II Fuzzy Neural Network Control for the Synchronization of Uncertain Chaotic Systems

Xiang-jian Chen, Di Li
2015 International Journal of Signal Processing, Image Processing and Pattern Recognition  
The proposed RAITIIFNNC system is comprised of a interval type II fuzzy neural network identifier and a robust controller.  ...  The identifier is utilized for online estimation of the compound uncertainties.  ...  However, it is difficult to establish an appropriate mathematical model for the design of a model-based synchronization system.  ... 
doi:10.14257/ijsip.2015.8.12.03 fatcat:bok2pqraxvhkhpifuvwbr7ibfu

Control of Lorenz-StenfloChaotic System via Takagi-SugenoFuzzy Model Based on Linear Matrix Inequality

B. Wang, J. Y. Xue, D. L. Zhu, P.T. Wu
2014 International Journal of Control and Automation  
In Section 3, the T-S fuzzy model and the stability analysis of the closed-loop system are described. The controller design scheme based on PDC is also included in this section.  ...  Based on the interval matrix theory, the Takagi-Sugeno(T-S)fuzzy model is applied to the Lorenz-Stenflo chaotic system with uncertain parameters.Based on theLyapunov stability theorem, the sufficient stabilitycondition  ...  ii F F h h          T-S Fuzzy Model for Lorenz-Stenflo Chaotic System To utilize the LMI-based fuzzy system design techniques, we start with representingchaotic systems using T-S fuzzy  ... 
doi:10.14257/ijca.2014.7.9.12 fatcat:r6ocrc6dvvdbvhau2c35ospgva

Page 1643 of Mathematical Reviews Vol. , Issue 2004b [page]

2004 Mathematical Reviews  
As an example we use the Lorenz and Chua systems with parameter values such that they both have chaotic dynamics.  ...  Adaptive control is an effective way of controlling unknown dynamical systems.  ... 

Journal of Intelligent Industrial Systems

G. Rigatos, P. Siano
2016 Intelligent Industrial Systems  
Rigatos of complex electromechanical systems, one can distinguish first a method for differential flatness theory-based control of chaotic dynamical systems.  ...  The presented method is based again on differential flatness theory and achieves control of diesel engines without need for prior knowledge about the its dynamic model.  ...  An adaptive fuzzy controller is designed for chaotic dynamical systems, under the constraint that the systems model is unknown.  ... 
doi:10.1007/s40903-016-0066-5 fatcat:hbz6p3vohrembgksh3qk22izwq

Finite-time Stability of MIMO Nonlinear Systems based on Robust Adaptive Sliding Control: Methodology and Application to Stabilize Chaotic Motions

Ha Le Nhu Ngoc Thanh, Mai The Vu, Nguyen Ngoc Phi, Nguyen Xuan Mung, Sung Kyung Hong
2021 IEEE Access  
In addition, a nonlinear adaptive law is constructed to ensure a strict stability of the control system even without prior awareness of the upper bounds of uncertainties and disturbances.  ...  INDEX TERMS Disturbed MIMO system, adaptive control, sliding mode control, finite-time stability, chaotic system.  ...  In [31] , an adaptive SMC for Takagi-Sugeno fuzzy system based LMIs method is proposed to improve the control performance of the system with mismatched uncertainties and/or exogenous perturbations.  ... 
doi:10.1109/access.2021.3054901 fatcat:jsqp6lsrnvctjjeoj42hf4itwa

Chaos synchronization between two different chaotic systems with uncertainties, external disturbances, unknown parameters and input nonlinearities

Mohammad Pourmahmood Aghababa, Aiuob Heydari
2012 Applied Mathematical Modelling  
Li and Chang [29] have developed an adaptive sliding mode controller for synchronizing a class of identical chaotic systems with uncertainties and nonlinear control inputs.  ...  However, these studies have not considered the effects of both model uncertainties and external disturbances in the dynamics of the chaotic systems.  ...  Conclusions In this paper, a robust adaptive sliding mode controller is introduced to realize chaos synchronization between two different chaotic systems with model uncertainties, external disturbances  ... 
doi:10.1016/j.apm.2011.09.023 fatcat:xw6mr2megjfydpk7khltdjxm74
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