New perspectives of analog and digital simulations of fractional order systems

Charef, Abdelfatah; Charef, Mohamed; Djouambi, Abdelbaki; Voda, Alina

doi:10.1515/acsc-2017-0006

Cited by 5 publications

(3 citation statements)

References 27 publications

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“…Figure 3 shows the simplified scheme of the considered setup. This unknown configuration is approximately modeled by a first-order plus time delay as (5). To identify the parameters 𝑘 𝑛 , 𝜏 and 𝐿, the setup was excited by a pseudo random binary signal (PRBS) input signal.…”

Section: Figure 2 Schematic Of the Proposed Experimental Setupmentioning

confidence: 99%

“…Fractional controllers such as the widely used proportional integral derivative (PID) controllers are well-known for control and modelling in most industrial applications such as engineering, chemistry and mathematics due to their simplicity [1]- [5]. However, previous research has indicated that these controllers have limitations in performance, flexibility, and control quality [6], [7].…”

Section: Introductionmentioning

confidence: 99%

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Low-cost platform for real time data acquisition and fractional control with application to a DC motor

Berkani,

Keziz,

Lashab

et al. 2023

IJPEDS

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<span lang="EN-US">This paper presents a low-cost experimental platform for real time data acquisition, identification and fractional order control of some low dynamic systems using Arduino-Simulink interface. As a demonstrative example, a DC motor is considered and modeled as a first order plus time delay plant (FOPTD) using data acquisition-based Arduino setup. Then, simple analytical rules are used to design a robust fractional order controller (FOC) which required a high-performance computing. Several validation tests have been carried out using Arduino–Simulink interface. <span>The comparison between the theoretical simulation and the experimental tests confirms that the proposed interface can be used to support research and teaching of feedback control systems using experimental tests and low-cost laboratory kit.</span></span><br /><script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.0/MathJax.js?config=TeX-AMS-MML_HTMLorMML&delayStartupUntil=configured"></script><script id="texAllTheThingsPageScript" type="text/javascript" src="chrome-extension://cbimabofgmfdkicghcadidpemeenbffn/js/pageScript.js"></script><script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.0/MathJax.js?config=TeX-AMS-MML_HTMLorMML&delayStartupUntil=configured"></script><script id="texAllTheThingsPageScript" type="text/javascript" src="chrome-extension://cbimabofgmfdkicghcadidpemeenbffn/js/pageScript.js"></script><script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.0/MathJax.js?config=TeX-AMS-MML_HTMLorMML&delayStartupUntil=configured"></script><script id="texAllTheThingsPageScript" type="text/javascript" src="chrome-extension://cbimabofgmfdkicghcadidpemeenbffn/js/pageScript.js"></script>

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Section: Figure 2 Schematic Of the Proposed Experimental Setupmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Low-cost platform for real time data acquisition and fractional control with application to a DC motor

Berkani,

Keziz,

Lashab

et al. 2023

IJPEDS

View full text Add to dashboard Cite

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“…Many methods have been developed to approximate fractional operators in continuous time domain; among them Matsuda, Carlson, General CFE, Oustaloup and Charef are most popular [51]. The transfer function of the fractional order PI 𝜆 D 𝜇 A controller have been implemented by rational functions through Charef's method [52], in the frequency band [0.01𝜔 𝑢 , 100𝜔 𝑢 ] rad/sec.…”

Section: Servo Motormentioning

confidence: 99%

Fractional order PI λD µA controller design based on Bode’s ideal function

2023

Archives of Control Sciences

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The fractional order proportional, integral, derivative and acceleration (PI 𝜆 D 𝜇 A) controller is an extension of the classical PIDA controller with real rather than integer integration action order 𝜆 and differentiation action order 𝜇. Because the orders 𝜆 and 𝜇 are real numbers, they will provide more flexibility in the feedback control design for a large range of control systems. The Bode's ideal transfer function is largely adopted function in fractional control systems because of its iso-damping property which is an essential robustness factor.In this paper an analytical design technique of a fractional order PI 𝜆 D 𝜇 A controller is presented to achieve a desired closed loop system whose transfer function is the Bode's ideal function. In this design method, the values of the six parameters of the fractional order PI 𝜆 D 𝜇 A controllers are calculated using only the measured step response of the process to be controlled. Some simulation examples for different third order motor models are presented to illustrate the benefits, the effectiveness and the usefulness of the proposed fractional order PI 𝜆 D 𝜇 A controller tuning technique. The simulation results of the closed loop system obtained by the fractional order PI 𝜆 D 𝜇 A controller are compared to those obtained by the classical PIDA controller with different design methods found in the literature. The simulation results also show a significant improvement in the closed loop system performances and robustness using the proposed fractional order PI 𝜆 D 𝜇 A controller design.

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Analog Realization and Numerical Evaluation of the Variable Fractional-Order Integrator Iα(t)

Charef,

Ladaci

2024

IFAC-PapersOnLine

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New perspectives of analog and digital simulations of fractional order systems

Cited by 5 publications

References 27 publications

Low-cost platform for real time data acquisition and fractional control with application to a DC motor

Low-cost platform for real time data acquisition and fractional control with application to a DC motor

Fractional order PI λD µA controller design based on Bode’s ideal function

Analog Realization and Numerical Evaluation of the Variable Fractional-Order Integrator Iα(t)

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