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Fractional Order Control Systems

DFIG Based Wind Turbines Behavior Improvement during Wind Variations using Fractional Order Control Systems

DFIG Based Wind Turbines Behavior Improvement during Wind Variations using Fractional Order Control Systems

... new fractional-order control strategy in wind turbines with DFIG and gave a complete comparison of output parameters of the wind turbine considering classic and fractional-order ...

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The variational problem of fractional order control systems

The variational problem of fractional order control systems

... This article discusses the control system of fractional endpoint variable variational problems. For this problem, we prove the Euler-Lagrange type necessary conditions which must be satisfied for the given ...

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Asymptotic stability analysis of fractional order neutral systems with time delay

Asymptotic stability analysis of fractional order neutral systems with time delay

... for fractional-order control systems; see [, ...surate fractional-order systems, the Matignon stability theorem is the most well-known one ...of ...

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Fractional sliding mode control design for robust synchronization and anti-synchronization of fractional order nonlinear chaotic systems in finite time

Fractional sliding mode control design for robust synchronization and anti-synchronization of fractional order nonlinear chaotic systems in finite time

... chaotic systems are that the highly sensitivity to initial ...chaotic systems are coupled. Moreover, Synchronization control is one of the important research area in chaos theory and it is simply ...

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Hybrid projective synchronization between the fractional order systems

Hybrid projective synchronization between the fractional order systems

... chaotic systems such as the sliding mode control method [2], active control method [3-6], linear and non linear feedback control method [7-8], adaptive control method [9-10], ...

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Analysis of Fractional Order Control System with Performance and Stability

Analysis of Fractional Order Control System with Performance and Stability

... for fractional order control system is ...of fractional derivatives has become quite apparent in modeling mechanical and electrical properties of real ...materials. Fractional integrals ...

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Control and Synchronization of a Fractional-order Chaotic Financial System

Control and Synchronization of a Fractional-order Chaotic Financial System

... synchronization control problem of fractional-order chaotic financial ...common fractional derivatives, the general form of linear fractional chaotic systems, the definitions of ...

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Robust Adaptive Control for Fractional-order Financial Chaotic Systems with System Uncertainties and External Disturbances

Robust Adaptive Control for Fractional-order Financial Chaotic Systems with System Uncertainties and External Disturbances

... in fractional-order financial systems has also been in- vestigated, for example, in [1, 10, 13, 14, 27, 32, 41, 43, 47, ...synchronize fractional-order financial systems in ...

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Fractional-order feedback control of a poorly damped system

Fractional-order feedback control of a poorly damped system

... of systems are difficult to control by an integer-order proportional-integral- derivative (PID) controller as this controller has only one pair of zeros to compensate the ...higher order would ...

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Robust convergence analysis of iterative learning control for impulsive Riemann Liouville fractional order systems

Robust convergence analysis of iterative learning control for impulsive Riemann Liouville fractional order systems

... and fractional-order systems widely exist in engineering, we investigated the P-type learning laws for impulsive Riemann-Liouville fractional-order controlled systems ( < α ...

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Power Optimization and Control in Wind Energy Conversion Systems using Fractional Order Extremum Seeking

Power Optimization and Control in Wind Energy Conversion Systems using Fractional Order Extremum Seeking

... conversion systems (WECS) has caught a big attention from early ...linear control methods in the inner loop. The method of extremum seeking control is a non model based optimization concept to ...

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Multi-objective Active Control Policy Design for Commensurate and Incommensurate Fractional Order Chaotic Financial Systems

Multi-objective Active Control Policy Design for Commensurate and Incommensurate Fractional Order Chaotic Financial Systems

... the fractional orders in the two type of systems (with the median solution of the controllers on the Pareto front) have been found to stabilize the chaotic systems and also pass the stability ...

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Asymptotical stabilization of the nonlinear upper triangular fractional order systems

Asymptotical stabilization of the nonlinear upper triangular fractional order systems

... Fractional-order systems (FOS) have received a great deal of attention from mathemati- cians, physicists, chemists, biologists, and so on ...nonlinear fractional-order systems, ...

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Modified generalized projective synchronization of fractional order chaotic Lü systems

Modified generalized projective synchronization of fractional order chaotic Lü systems

... novel fractional-order chaotic system is ...novel fractional-order four-dimensional Lü system according to the generalized Adams-Bashforth-Moulton predictor-corrector algo- ...of ...

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Fractional Order Glucose Insulin System Using Fractional Back-Stepping Sliding Mode Control

Fractional Order Glucose Insulin System Using Fractional Back-Stepping Sliding Mode Control

... (noninteger) order. Recently, fractional calculus has been the focus of many active researches in several fields in ...in control engineering, this approach coming from applied mathematics has ...

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An Improved Numerical Algorithm for the Fractional Differential Equations and Its Application in the Fractional Order Nonlinear Systems

An Improved Numerical Algorithm for the Fractional Differential Equations and Its Application in the Fractional Order Nonlinear Systems

... the fractional differential equations is proposed based on the variational iteration ...new fractional-order hyperchaotic system, and find that hyperchaos does exist in the new ...

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Chaos, control, and synchronization in some fractional order difference equations

Chaos, control, and synchronization in some fractional order difference equations

... three fractional chaotic maps based on the well known 3D Stefanski, Rössler, and Wang ...proposed fractional maps are investigated experimentally by means of phase portraits, bifurcation diagrams, and ...

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Chaos Suppression of a Class of Fractional-Order Chaotic Systems with Order Lying in (1, 2)

Chaos Suppression of a Class of Fractional-Order Chaotic Systems with Order Lying in (1, 2)

... feedback control is especially attractive and has been commonly adopted for practical ...chaos control all are dependent on the Lyapunov direct ...between fractional-order differential ...

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Synchronization of fractional order and integer order chaotic (hyper chaotic) systems with different dimensions

Synchronization of fractional order and integer order chaotic (hyper chaotic) systems with different dimensions

... chaotic systems, synchro- nization of fractional-order chaotic dynamical systems has gained a lot of popularity for its potential applications in secure communication and cryptography, ...

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Point to point control of fractional differential linear control systems

Point to point control of fractional differential linear control systems

... study control systems described by the Riemann-Liouville derivatives and in ...linear control systems: in the form of an integrator of fractional order a, in the form of ...

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