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Adaptive fuzzy sliding mode control for synchronization of uncertain fractional order chaotic systems
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In this article, a fuzzy Lyapunov synthesis approach is proposed to tune free parameters of the adaptive fuzzy controller on line by output feedback control law and adaptive law Moreover, chattering phenomena in the control efforts can be reduced.Abstract:
This paper deals with chaos synchronization between two different uncertain fractional order chaotic systems based on adaptive fuzzy sliding mode control (AFSMC) With the definition of fractional derivatives and integrals, a fuzzy Lyapunov synthesis approach is proposed to tune free parameters of the adaptive fuzzy controller on line by output feedback control law and adaptive law Moreover, chattering phenomena in the control efforts can be reduced The sliding mode design procedure not only guarantees the stability and robustness of the proposed AFSMC, but also the external disturbance on the synchronization error can be attenuated The simulation example is included to confirm validity and synchronization performance of the advocated design methodologyread more
Citations
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Journal ArticleDOI
Fractional order Lyapunov stability theorem and its applications in synchronization of complex dynamical networks
TL;DR: A novel T–S fuzzy model pining controller with minimum control nodes is designed and numerical simulations are agreement with theoretical analysis, which both confirm that the correctness of the presented theory is correct.
Journal ArticleDOI
A fractional-order hyper-chaotic economic system with transient chaos
Amin Yousefpour,Hadi Jahanshahi,Jesús M. Muñoz-Pacheco,Stelios Bekiros,Stelios Bekiros,Zhouchao Wei +5 more
TL;DR: The proposed control scheme for uncertain fractional-order systems in the presence of external disturbances is illustrated and the finite-time convergence of the closed-loop system has been proven.
Journal ArticleDOI
Fuzzy generalized projective synchronization of incommensurate fractional-order chaotic systems
TL;DR: Under some mild assumptions, the proposed controller can guarantee all the signals in the closed-loop system remain bounded and the underlying synchronization errors asymptotically converge towards a small of neighborhood of the origin.
Journal ArticleDOI
Adaptive terminal sliding mode control scheme for synchronization of fractional-order uncertain chaotic systems.
TL;DR: A terminal sliding mode controller with fractional sliding surface is employed to synchronize the states of two different fractional order chaotic systems with parameter uncertainties and external disturbances, robust when the effects of perturbations are derived into account.
Journal ArticleDOI
Sliding mode disturbance observer control based on adaptive synchronization in a class of fractional‐order chaotic systems
TL;DR: In this article, a fractional-order Dadras-Momeni chaotic system in a class of three-dimensional autonomous differential equations has been considered, and a design technique of adaptive s...
References
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Journal ArticleDOI
Fuzzy identification of systems and its applications to modeling and control
T. Takagi,Michio Sugeno +1 more
TL;DR: A mathematical tool to build a fuzzy model of a system where fuzzy implications and reasoning are used is presented and two applications of the method to industrial processes are discussed: a water cleaning process and a converter in a steel-making process.
Book
Theory and Applications of Fractional Differential Equations
TL;DR: In this article, the authors present a method for solving Fractional Differential Equations (DFE) using Integral Transform Methods for Explicit Solutions to FractionAL Differentially Equations.
Book
Fractional Integrals and Derivatives: Theory and Applications
TL;DR: Fractional integrals and derivatives on an interval fractional integral integrals on the real axis and half-axis further properties of fractional integral and derivatives, and derivatives of functions of many variables applications to integral equations of the first kind with power and power-logarithmic kernels integral equations with special function kernels applications to differential equations as discussed by the authors.
Book
Applications Of Fractional Calculus In Physics
TL;DR: An introduction to fractional calculus can be found in this paper, where Butzer et al. present a discussion of fractional fractional derivatives, derivatives and fractal time series.