Practical aspects for implementation of fractional-order controllers

Petráš, Ivo

doi:10.1109/carpathiancc.2014.6843641

Cited by 7 publications

(4 citation statements)

References 17 publications

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“…Implementation of them is the most difficult problem to be solved. Although some references discuss hardware devices for fractional-order integrators [14], [15], these devices are restricted and difficult to tune. Alternatively, the authors choose to implement the FOPI controller by using a finite-dimensional integer-order transfer function.…”

Section: A Implementation Of Fopi Controllermentioning

confidence: 99%

Fractional-order feedback control of a poorly damped system

Chevalier

Copot

et al. 2014

2014 IEEE International Conference on Automation, Quality and Testing, Robotics

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Abstract-This study presents the design of a fractionalorder proportional-integral (FOPI) controller for a mass-springdamper system which is poorly damped. A model based design technique is used to design a FOPI controller for this system. A good performance of the closed loop control of a high order oscillatory system, such as the mass-spring-damper system, is with traditional proportional-integral (PI) controllers difficult to achieve. Therefore, a comparison between a traditional PI controller and a FOPI controller is performed by simulation. The simulation results show that the FOPI controller outperforms the classical PI controller resulting in an increased damping of the oscillations while maintaining a reasonable control effort.

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Section: A Implementation Of Fopi Controllermentioning

confidence: 99%

Fractional-order feedback control of a poorly damped system

Chevalier

Copot

et al. 2014

2014 IEEE International Conference on Automation, Quality and Testing, Robotics

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“…and elements (coils, memristor, etc.). The review of such mod-els can be found in [29][30][31]. Recently, it has been suggested a fractional differential equation that combines the simple harmonic oscillations of an LC circuit with the discharging of an RC circuit.…”

Section: Introductionmentioning

confidence: 99%

Analysis on the time and frequency domain for the RC electric circuit of fractional order

2013

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Abstract:This paper provides an analysis in the time and frequency domain of an RC electrical circuit described by a fractional differential equation of the order 0 < α ≤ 1. We use the Laplace transform of the fractional derivative in the Caputo sense. In the time domain we emphasize on the delay, rise and settling times, while in the frequency domain the interest is in the cutoff frequency, the bandwidth and the asymptotes in low and high frequencies. All these quantities depend on the order of differential equation. PACS

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“…The work [37], inspired by the work described in [38], and also the work [39], etc., described a quite simple model of the FOE. Theoretical focus on the design of FOE is discussed also in [40,41]. Electronic realizations of fractional-order integrator and controllers were attempted and presented in our earlier works [42][43][44] and also in many other works like e.g., [45][46][47][48].…”

Section: Introductionmentioning

confidence: 99%

Analogue Realization of Fractional-Order Dynamical Systems

Dorčák

Valsa

Gonzalez

et al. 2013

Entropy

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Abstract:As it results from many research works, the majority of real dynamical objects are fractional-order systems, although in some types of systems the order is very close to integer order. Application of fractional-order models is more adequate for the description and analysis of real dynamical systems than integer-order models, because their total entropy is greater than in integer-order models with the same number of parameters. A great deal of modern methods for investigation, monitoring and control of the dynamical processes in different areas utilize approaches based upon modeling of these processes using not only mathematical models, but also physical models. This paper is devoted to the design and analogue electronic realization of the fractional-order model of a fractional-order system, e.g., of the controlled object and/or controller, whose mathematical model is a fractional-order differential equation. The electronic realization is based on fractional-order differentiator and integrator where operational amplifiers are connected with appropriate impedance, with so called Fractional Order Element or Constant Phase Element. Presented network model approximates quite well the properties of the ideal fractional-order system compared with e.g., domino ladder networks. Along with the mathematical description, OPEN ACCESSEntropy 2013, 15 4200 circuit diagrams and design procedure, simulation and measured results are also presented.

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Practical aspects for implementation of fractional-order controllers

Cited by 7 publications

References 17 publications

Fractional-order feedback control of a poorly damped system

Fractional-order feedback control of a poorly damped system

Analysis on the time and frequency domain for the RC electric circuit of fractional order

Analogue Realization of Fractional-Order Dynamical Systems

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