Asymptotic magnitude Bode plots of fractional-order transfer functions

Kesarkar, Ameya Anil; Selvaganesan, N.

doi:10.1109/jas.2016.7510196

Cited by 8 publications

(5 citation statements)

References 5 publications

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“…17 The asymptotic Bode plot studies of FO transfer functions is given in Kesarkar and Narayanasamy. 4 Recently, a study has been conducted on FO control applications in power converters and drives in Warrier and Shah, 18 and a survey on FOPID controller industrialization also mentioned some encouraging conclusions. 14 To realize FOPID controllers on the DSP platform, FO integral/differential terms are replaced with rationalized IO transfer functions with a behavior close to ideal.…”

mentioning

confidence: 90%

“…The potentiality of FO behavior modeling and FOPID controllers is thoroughly established in Podlubny 17 . The asymptotic Bode plot studies of FO transfer functions is given in Kesarkar and Narayanasamy 4 . Recently, a study has been conducted on FO control applications in power converters and drives in Warrier and Shah, 18 and a survey on FOPID controller industrialization also mentioned some encouraging conclusions 14 …”

Section: Introductionmentioning

confidence: 98%

“…It is because fractional calculus has the flexibility of having additional freedom to choose the integrals and derivatives in an arbitrary order, which could be helpful in more precise modeling and control. The asymptotic bode plot behavior of noted FO controllers and FO plant transfer functions in Kesarkar and Narayanasamy 4 . Many natural processes and systems in the world are found to be exhibiting FO dynamic behavior.…”

Section: Introductionmentioning

confidence: 99%

“…asymptotic bode plot behavior of noted FO controllers and FO plant transfer functions in Kesarkar and Narayanasamy. 4 Many natural processes and systems in the world are found to be exhibiting FO dynamic behavior. The complex FO controller design methodology for a universal plant model in Sathishkumar and Selvaganesan.…”

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confidence: 99%

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Improved constant phase fractional order approximation method for induction motor FOPI speed controller

Adigintla

Aware

2022

Circuit Theory & Apps

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This paper presents the digital realization of the fractional-order PI (FOPI) controller fractional integrator element using the improved constant phase approximation method. A new pole-zero rationalization approach is proposed within the bandwidth of the Bode phase plot. The voltage source inverter fed induction motor fractional-order model has been identified. A novel mathematical FOPI controller design procedure for the identified FO plant model has been proposed. The designed FOPI controller fractional integrator element is implemented using the constant phase approximation method. A detailed comparative performance study of the proposed approximation method with the existing Charef, Oustaloup, and refined Oustaloup methods has been carried out using the Bode, Nyquist, and Nichols plots. The proposed FOPI controller is placed in the speed feedback loop of the rotor field-oriented control algorithm of IM. To confirm the proposed FOPI controller approximation method's robustness, a hardware study is carried out on the laboratory hardware-in-loop (HIL) platform. In addition, variation in the number of pole-zero pair's effect on the speed tracking performance, robustness against parameter and load variations are also analyzed.

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confidence: 90%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Improved constant phase fractional order approximation method for induction motor FOPI speed controller

Adigintla

Aware

2022

Circuit Theory & Apps

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“…The architecture of the commonly adopted traditional P-I controller is simple and does not require complex calculations, but the controller parameters can only be adjusted through the trial-and-error method, thus requiring more time to obtain the controller parameters [6][7][8]. Furthermore, whereas the controller designed using the Bode plot can obtain the controller parameters quickly but does not take the converter's dynamic characteristic of wide operating spectrum into consideration, and thus is only able to obtain the dynamic response under certain conditions; once the operating point changes, the system will be unable to operate under the better performance response [9,10]. For other existing intelligent controllers such as the particle swarm optimization (PSO) [11,12], genetic algorithm (GA) [13,14], sliding mode control [15,16], fuzzy control [17][18][19], and neural network [20], although these above controllers can all incorporate the traditional P-I controller into the design, the calculation process for these intelligent algorithms are complex, leading to difficulty in obtaining the design parameters, and is also more difficult to implement in actual application.…”

Section: Introductionmentioning

confidence: 99%

Quantitative Design for the Battery Equalizing Charge/Discharge Controller of the Photovoltaic Energy Storage System

Chao

Huang

2022

Batteries

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The purpose of this paper is to develop a photovoltaic module array with an energy storage system that has equalizing charge/discharge controls for regulating the power supply to the grid. Firstly, the boost converter is used in conjunction with maximum power point tracking (MPPT) such that the photovoltaic module array (PVMA) can output maximum power at any time. The battery equalizing charge/discharge architecture is composed of multiple sets of bidirectional buck–boost soft-switching converters in serial connection in order to achieve zero-voltage switching (ZVS) and zero-current switching (ZCS) so that when the charge/discharge power is above 150 W, the converter efficiency can be increased by 3%. The voltage and current signals from the battery are captured and input into the digital signal processor (DSP) to establish an equalizing charge/discharge control rule. For the output voltage control of the bidirectional buck–boost soft-switching converter, the dynamic mode is derived by first using the step response at chosen operating point, then quantitatively designing the controller parameters for the converter, so that the output voltage response can meet the pre-defined performance specifications. Finally, actual test results prove that the equalizing charge/discharge time of the quantitative design controller is shortened by more than 10% when compared to the traditional proportional-integral (P-I) controller regardless of charging or discharging; this also proves that the design of the photovoltaic module array with an energy storage system (ESS) that has equalizing charge/discharge controls is valid.

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Mathematical Modelling of Integer Order PID and FOPID Controller for DC-DC Boost Converter

Mandal¹,

Agarwal²

2022

Lecture Notes in Mechanical Engineering

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Asymptotic magnitude Bode plots of fractional-order transfer functions

Cited by 8 publications

References 5 publications

Improved constant phase fractional order approximation method for induction motor FOPI speed controller

Improved constant phase fractional order approximation method for induction motor FOPI speed controller

Quantitative Design for the Battery Equalizing Charge/Discharge Controller of the Photovoltaic Energy Storage System

Mathematical Modelling of Integer Order PID and FOPID Controller for DC-DC Boost Converter

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