Adaptive synchronization of uncertain fractional order chaotic systems using fuzzy sliding mode control based on a novel control term

[1]  Tsung-Chih Lin,et al.  Chaos Synchronization of Uncertain Fractional-Order Chaotic Systems With Time Delay Based on Adaptive Fuzzy Sliding Mode Control , 2011, IEEE Transactions on Fuzzy Systems.

[2]  Christophe Farges,et al.  On Observability and Pseudo State Estimation of Fractional Order Systems , 2012, Eur. J. Control.

[3]  Shih-Yu Li,et al.  Pragmatical adaptive synchronization of different orders chaotic systems with all uncertain parameters via nonlinear control , 2011 .

[4]  D. Brzezinski Accuracy Problems of Numerical Calculation of Fractional Order Derivatives and Integrals Applying the Riemann-Liouville/Caputo Formulas , 2016 .

[5]  Khaled Ben Letaief,et al.  A robust timing and frequency synchronization for OFDM systems , 2003, IEEE Trans. Wirel. Commun..

[6]  Jerry M. Mendel,et al.  On a 50% savings in the computation of the centroid of a symmetrical interval type-2 fuzzy set , 2005, Inf. Sci..

[7]  Wei Zhang,et al.  Sliding Mode Fuzzy Control with Application to Electrical Servo Drive , 2006, Sixth International Conference on Intelligent Systems Design and Applications.

[8]  Tsung-Chih Lin,et al.  Interval type-2 fuzzy-neural network indirect adaptive sliding mode control for an active suspension system , 2014, Nonlinear Dynamics.

[9]  Lin Shi,et al.  Analysis and control of a hyperchaotic system with only one nonlinear term , 2012 .

[10]  Jerry M. Mendel,et al.  Advances in type-2 fuzzy sets and systems , 2007, Inf. Sci..

[11]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[12]  Shumin Fei,et al.  Robust Control of a Class of Uncertain Fractional-Order Chaotic Systems with Input Nonlinearity via an Adaptive Sliding Mode Technique , 2014, Entropy.

[13]  Alain Oustaloup,et al.  A Lyapunov approach to the stability of fractional differential equations , 2009, Signal Process..

[14]  Jean-Jacques E. Slotine,et al.  Tracking control of non-linear systems using sliding surfaces with application to robot manipulators , 1983 .

[15]  John Y. Hung,et al.  Variable structure control: a survey , 1993, IEEE Trans. Ind. Electron..

[16]  Hugh F. Durrant-Whyte,et al.  Fuzzy moving sliding mode control with application to robotic manipulators , 1999, Autom..

[17]  Okyay Kaynak,et al.  The fusion of computationally intelligent methodologies and sliding-mode control-a survey , 2001, IEEE Trans. Ind. Electron..

[18]  Jerry M. Mendel,et al.  Enhanced Karnik--Mendel Algorithms , 2009, IEEE Transactions on Fuzzy Systems.

[19]  I. Podlubny Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications , 1999 .

[20]  Dengqing Cao,et al.  Boundary value problems for fractional differential equation with causal operators , 2016 .

[21]  Li-Xin Wang Stable adaptive fuzzy control of nonlinear systems , 1993, IEEE Trans. Fuzzy Syst..

[22]  Hani Hagras,et al.  A hierarchical type-2 fuzzy logic control architecture for autonomous mobile robots , 2004, IEEE Transactions on Fuzzy Systems.

[23]  J. Wen,et al.  Adaptive fuzzy control for a class of chaotic systems with nonaffine inputs , 2011 .

[24]  Mohammad Mehdi Fateh,et al.  Type-2 Fuzzy Control for a Flexible- joint Robot Using Voltage Control Strategy , 2013, Int. J. Autom. Comput..

[25]  Qigui Yang,et al.  Parameter identification and synchronization of fractional-order chaotic systems , 2012 .

[26]  Changsong Zhou,et al.  Fractional locking of spin-torque oscillator by injected ac current , 2011 .

[27]  Tsung-Chih Lin Based on interval type-2 fuzzy-neural network direct adaptive sliding mode control for SISO nonlinear systems , 2010 .

[28]  Tzuu-Hseng S. Li,et al.  Design of interval type-2 fuzzy sliding-mode controller , 2008, Inf. Sci..

[29]  Jerry M. Mendel,et al.  Type-2 fuzzy sets made simple , 2002, IEEE Trans. Fuzzy Syst..

[30]  Sha Wang,et al.  Hybrid projective synchronization of chaotic fractional order systems with different dimensions , 2010 .

[31]  Christophe Farges,et al.  Fractional systems state space description: some wrong ideas and proposed solutions , 2014 .

[32]  RONALD R. YAGER,et al.  Fuzzy Subsets of Type Ii in Decisions , 1980, Cybern. Syst..

[33]  Tsung-Chih Lin,et al.  Synchronization of uncertain chaotic systems based on adaptive type-2 fuzzy sliding mode control , 2011, Eng. Appl. Artif. Intell..

[34]  J. Mendel Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions , 2001 .

[35]  Jun Wang,et al.  Absolute term introduced to rebuild the chaotic attractor with constant Lyapunov exponent spectrum , 2012 .

[36]  Juan Yang,et al.  Sliding-Mode Synchronization Control for Uncertain Fractional-Order Chaotic Systems with Time Delay , 2015, Entropy.

[37]  Giuseppe Grassi,et al.  Observer-Based Synchronization for a Class of fractional Chaotic Systems via a Scalar Signal: Results Involving the Exact Solution of the Error Dynamics , 2011, Int. J. Bifurc. Chaos.