Adaptive interval type-2 fuzzy sliding mode control for fractional-order systems based on finite-time scheme

[1]  Xinzhi Liu,et al.  Fractional order Lyapunov stability theorem and its applications in synchronization of complex dynamical networks , 2014, Commun. Nonlinear Sci. Numer. Simul..

[2]  M. P. Aghababa Finite-time chaos control and synchronization of fractional-order nonautonomous chaotic (hyperchaotic) systems using fractional nonsingular terminal sliding mode technique , 2012 .

[3]  Patricia Melin,et al.  A hybrid approach for image recognition combining type-2 fuzzy logic, modular neural networks and the Sugeno integral , 2009, Inf. Sci..

[4]  Muhammad Irfan Khattak,et al.  Adaptive fuzzy fractional-order sliding mode controller for a class of dynamical systems with uncertainty , 2016 .

[5]  Jianbin Qiu,et al.  Mode-dependent nonrational output feedback control for continuous-time semi-Markovian jump systems with time-varying delay , 2015 .

[6]  Mohammad Ali Badamchizadeh,et al.  Synchronization of different fractional-ordered chaotic systems using optimized active control , 2015, 2015 6th International Conference on Modeling, Simulation, and Applied Optimization (ICMSAO).

[7]  Julien Clinton Sprott,et al.  Chaos in fractional-order autonomous nonlinear systems , 2003 .

[8]  Masayoshi Tomizuka,et al.  Robust adaptive control using a universal approximator for SISO nonlinear systems , 2000, IEEE Trans. Fuzzy Syst..

[9]  Byung-In Choi,et al.  Interval type-2 fuzzy membership function generation methods for pattern recognition , 2009, Inf. Sci..

[10]  Mohammad Pourmahmood Aghababa,et al.  A fractional sliding mode for finite-time control scheme with application to stabilization of electrostatic and electromechanical transducers , 2015 .

[11]  Amar Goléa,et al.  Fuzzy model reference adaptive control , 2002, IEEE Trans. Fuzzy Syst..

[12]  Han Ho Choi Sliding-Mode Output Feedback Control Design , 2008, IEEE Transactions on Industrial Electronics.

[13]  I. Podlubny Fractional differential equations , 1998 .

[14]  S. Bowong Adaptive synchronization between two different chaotic dynamical systems , 2007 .

[15]  Zhen Wang Synchronization of an Uncertain Fractional-Order Chaotic System via Backstepping Sliding Mode Control , 2013 .

[16]  Liping Chen,et al.  Robust stability and stabilization of fractional-order linear systems with polytopic uncertainties , 2015, Appl. Math. Comput..

[17]  Mohammad Ali Badamchizadeh,et al.  An approach to achieve modified projective synchronization between different types of fractional-order chaotic systems with time-varying delays , 2015 .

[18]  MOHAMMAD POURMAHMOOD AGHABABA,et al.  Fractional modeling and control of a complex nonlinear energy supply-demand system , 2015, Complex..

[19]  Chao-Lin Kuo,et al.  Design of a Novel Fuzzy Sliding-Mode Control for Magnetic Ball Levitation System , 2005, J. Intell. Robotic Syst..

[20]  Gwi-Tae Park,et al.  Adaptive interval type-2 fuzzy sliding mode control for unknown chaotic system , 2011 .

[21]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[22]  Ling Li,et al.  Adaptive Fuzzy Control for Nonlinear Fractional-Order Uncertain Systems with Unknown Uncertainties and External Disturbance , 2015, Entropy.

[23]  Jianbin Qiu,et al.  A New Design of $H$ -Infinity Piecewise Filtering for Discrete-Time Nonlinear Time-Varying Delay Systems via T–S Fuzzy Affine Models , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[24]  Tsung-Chih Lin,et al.  Adaptive fuzzy sliding mode control for synchronization of uncertain fractional order chaotic systems , 2011 .

[25]  M. P. Aghababa Robust Finite-Time Stabilization of Fractional-Order Chaotic Systems based on Fractional Lyapunov Stability Theory , 2012 .

[26]  Hani Hagras,et al.  A fuzzy embedded agent-based approach for realizing ambient intelligence in intelligent inhabited environments , 2005, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[27]  Saeed Gazor,et al.  Hybrid adaptive fuzzy identification and control of nonlinear systems , 2002, IEEE Trans. Fuzzy Syst..

[28]  Igor Podlubny,et al.  Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers , 1999 .

[29]  Yingmin Jia,et al.  Finite-time attitude tracking control for a rigid spacecraft using time-varying terminal sliding mode techniques , 2015, Int. J. Control.

[30]  Ricardo Martínez-Soto,et al.  Optimization of Interval Type-2 Fuzzy Logic Controllers for a Perturbed Autonomous Wheeled Mobile Robot Using Genetic Algorithms , 2009, Soft Computing for Hybrid Intelligent Systems.

[31]  Tsung-Chih Lin,et al.  Synchronization of uncertain fractional order chaotic systems via adaptive interval type-2 fuzzy sliding mode control , 2011, 2011 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2011).

[32]  Jianbin Qiu,et al.  Approaches to T–S Fuzzy-Affine-Model-Based Reliable Output Feedback Control for Nonlinear Itô Stochastic Systems , 2017, IEEE Transactions on Fuzzy Systems.

[33]  Xiaodi Li,et al.  Synchronization of Identical and Nonidentical Memristor-based Chaotic Systems Via Active Backstepping Control Technique , 2015, Circuits Syst. Signal Process..

[34]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[35]  Hadi Delavari,et al.  Synchronization of uncertain fractional-order hyper-chaotic systems via a novel adaptive interval type-2 fuzzy active sliding mode controller , 2015, International Journal of Dynamics and Control.

[36]  Jianbin Qiu,et al.  Robust and non-fragile static output feedback control for continuous-time semi-Markovian jump systems , 2016 .

[37]  Hadi Delavari,et al.  A novel fractional adaptive active sliding mode controller for synchronization of non-identical chaotic systems with disturbance and uncertainty , 2017 .

[38]  Aleksandar M. Spasic,et al.  Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach , 2009, Math. Comput. Model..

[39]  Song Deng,et al.  Reliable H∞ control design of discrete-time Takagi-Sugeno fuzzy systems with actuator faults , 2016, Neurocomputing.

[40]  Bin Wang,et al.  Finite Time Control for Fractional Order Nonlinear Hydroturbine Governing System via Frequency Distributed Model , 2016 .

[41]  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.

[42]  Jeen-Shing Wang,et al.  Self-adaptive neuro-fuzzy inference systems for classification applications , 2002, IEEE Trans. Fuzzy Syst..

[43]  M. P. Aghababa A novel terminal sliding mode controller for a class of non-autonomous fractional-order systems , 2013 .

[44]  Xiaona Song,et al.  Output feedback control for fractional-order Takagi–Sugeno fuzzy systems with unmeasurable premise variables , 2016 .

[45]  I. Podlubny Fractional-order systems and PIλDμ-controllers , 1999, IEEE Trans. Autom. Control..

[46]  Z. Zuo,et al.  Non-singular fixed-time terminal sliding mode control of non-linear systems , 2015 .

[47]  Lotfi A. Zadeh,et al.  The concept of a linguistic variable and its application to approximate reasoning-III , 1975, Inf. Sci..

[48]  Runfan Zhang,et al.  Control of a class of fractional-order chaotic systems via sliding mode , 2012 .

[49]  Anissa Zergaïnoh-Mokraoui,et al.  State-space representation for fractional order controllers , 2000, Autom..

[50]  Sara Dadras,et al.  Control of a novel class of fractional-order chaotic systems via adaptive sliding mode control approach ☆ , 2013 .

[51]  Jerry M. Mendel,et al.  Computing derivatives in interval type-2 fuzzy logic systems , 2004, IEEE Transactions on Fuzzy Systems.