Temperature control of a finite diffusive interface medium applying CRONE second generation

Daou, Roy Abi Zeid; Moreau, Xavier; Christophy, Fady

doi:10.1109/actea.2016.7560106

Cited by 4 publications

(3 citation statements)

References 2 publications

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“…With the development of the third generation CRONE controller, 17,18 the fractional‐order complex number controller has been paid more attention. In the practical application of fractional complex‐order controller (FCOC), the real part of the controller is often used to analyze the system because the imaginary part of the complex‐order calculus operator cannot be realized 19,20 . The complex‐order controller extends the order of calculus to the whole complex number field and makes the system more robust when the phase angle and gain change simultaneously.…”

Section: Introductionmentioning

confidence: 99%

“…In the practical application of fractional complex-order controller (FCOC), the real part of the controller is often used to analyze the system because the imaginary part of the complex-order calculus operator cannot be realized. 19,20 The complex-order controller extends the order of calculus to the whole complex number field and makes the system more robust when the phase angle and gain change simultaneously. Khosro Khandani et al 21 proposed a parameter tuning method for complex-order controller based on frequency domain analysis.…”

Section: Introductionmentioning

confidence: 99%

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Tuning of fractional complex‐order direct current motor controller using frequency domain analysis

Zheng

Zhang

Huang

2020

Math Methods in App Sciences

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For the speed control of direct current motor, a fractional complex‐order controller (FCOC) is proposed in this paper. The FCOC is an extension of the fractional‐order controller. It is known that fractional‐order controllers exhibit strong robustness to open‐loop gain variations. However, in actual situations, due to external interference, the phase angle and gain of the system may change at the same time. The FCOC proposed in this paper adds an additional parameter, which makes the system show strong robustness when the phase angle and gain change simultaneously. Existing methods for parameter tuning of FCOCs only consider the preset gain crossover frequency and the expected phase margin. This may not allow the system to exhibit good dynamic and stable performance. In this paper, based on the frequency domain analysis, the parameters of the FCOC are tuned by integrating the gain crossover frequency, cutoff frequency, phase margin, and amplitude margin. The optimal solution satisfying a set of constraint equations is obtained by optimization algorithm. Finally, the simulation results are compared with those of the fractional‐order controller and the integer‐order controller. At the same time, the robustness of the system under disturbance is analyzed. The results show that the complex fractional‐order control presented in this paper has better dynamic performance and robustness.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Tuning of fractional complex‐order direct current motor controller using frequency domain analysis

Zheng

Zhang

Huang

2020

Math Methods in App Sciences

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“…It was launched in 1975, and it was introduced using three generations. We will focus in this paper on the second and third generations, knowing that the first two generations were treated in previous works [47,48]. However, a brief overview over the three generations will be presented below.…”

Section: Crone Controllers Presentationmentioning

confidence: 99%

Comparison between the Second and Third Generations of the CRONE Controller: Application to a Thermal Diffusive Interface Medium

2018

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Abstract:The control of thermal interfaces has gained importance in recent years because of the high cost of heating and cooling materials in many applications. Thus, the main focus in this work is to compare the second and third generations of the CRONE controller (French acronym of Commande Robuste d'Ordre Non Entier), which means a non-integer order robust controller, and to synthesize a robust controller that can fit several types of systems. For this study, the plant consists of a rectangular homogeneous bar of length L, where the heating element in applied on one boundary, and a temperature sensor is placed at distance x from that boundary (x is considered very small with respect to L). The type of material used is the third parameter, which may help in analyzing the robustness of the synthesized controller. The originality of this work resides in controlling a non-integer plant using a fractional order controller, as, so far, almost all of the systems where the CRONE controller has been implemented were of integer order. Three case studies were defined in order to show how and where each CRONE generation controller can be applied. These case studies were chosen in such a way as to influence the asymptotic behavior of the open-loop transfer function in the Black-Nichols diagram in order to point out the importance of respecting the conditions of the applications of the CRONE generations. Results show that the second generation performs well when the parametric uncertainties do not affect the phase of the plant, whereas the third generation is the most robust, even when both the phase and the gain variations are encountered. However, it also has some limitations, especially when the temperature to be controlled is far from the interface when the density of flux is applied.

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Comparison of the CRONE-1 and FOPID Controllers for Steam Temperature Control of the Essential Oil Extraction Process

Pezol

Rahiman

Adnan

et al. 2021

2021 IEEE International Conference on Automatic Control &Amp; Intelligent Systems (I2CACIS)

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Temperature control of a finite diffusive interface medium applying CRONE second generation

Cited by 4 publications

References 2 publications

Tuning of fractional complex‐order direct current motor controller using frequency domain analysis

Tuning of fractional complex‐order direct current motor controller using frequency domain analysis

Comparison between the Second and Third Generations of the CRONE Controller: Application to a Thermal Diffusive Interface Medium

Comparison of the CRONE-1 and FOPID Controllers for Steam Temperature Control of the Essential Oil Extraction Process

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