Reconnection–less Reconfigurable Fractional–Order Current–Mode Integrator Design With Simple Control

Langhammer, Lukáš; Šotner, Roman; Dvořák, Jan; Jeřábek, Jan; Andriukaitis, Darius

doi:10.1109/access.2021.3117016

Cited by 9 publications

(10 citation statements)

References 51 publications

(121 reference statements)

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“…The slope of the stopband attenuation for the fractional-order and power-law filters is ∓20 • α dB/dec and ∓20 • β dB/dec, respectively, making both types equivalent in terms of the gradient of the magnitude response. According to (2), ( 5), (8), and (11), they also have the same pole frequency ω 0 . Considering (4), ( 7), (10), and (13), it is derived that the half-power frequencies of both types of low-pass and high-pass filters depends on the pole frequency, as well as on the order.…”

Section: Power-law Filtersmentioning

confidence: 99%

“…It must be mentioned at this point that power-law filters are also capable of implementing locations of the half-power frequency opposite to the aforementioned ones, just by considering an order of 1 < β < 2. This is realized by analyzing the transfer functions in (8) or (11) as products of a power-law term of order (1 − β) and an integer-order term.…”

Section: Power-law Filtersmentioning

confidence: 99%

“…Non-integer order signal processing has received significant research interest in the following fields [1][2][3][4][5][6]. The first field is electrical engineering, for implementing filters and oscillators [5,[7][8][9][10][11][12][13][14][15], chaotic systems [16], sensor systems [17], and control systems [2,[18][19][20][21]. This originates from the fact that both filters and oscillators offer additional degrees of freedom due to the non-integer order, which opens the door for scaling the characteristic frequencies of the filters/oscillators, as well as for precisely controlling the gradient of the transition from the pass-band to the stop-band.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Versatile Field-Programmable Analog Array Realizations of Power-Law Filters

2022

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A structure suitable for implementing power-law low-pass and high-pass filter transfer functions is presented in this work. Through the utilization of a field-programmable analog array device, full programmability of the characteristics of the intermediate stages, as is required for realizing the rational integer-order transfer function that approximates the corresponding power-law function, was achieved, making the structure versatile. In addition, a comparison between power-law and fractional-order filters regarding the effect of the non-integer order was performed. The presented design examples are fully supported by experimental results.

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Section: Power-law Filtersmentioning

confidence: 99%

Section: Power-law Filtersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Versatile Field-Programmable Analog Array Realizations of Power-Law Filters

2022

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“…A design of FO integrator was introduced for the operation of the resulting solution in the current mode (CM) as reported in [45]. The integrator's solution is based on the use of RC structures, but unlike other FO designs based on RC structures, the suggested integrator provides electronic control of the exponent of FOE.…”

Section: Literature Reviewmentioning

confidence: 99%

Re-configurable band-stop and all-pass filter using fractional-order topology

2022

IJATEE

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Re-configuration refers to a filter's ability to modify its electrical properties (such as bandwidth, cut-off frequency, phase, etc.) in order to satisfy the dynamic needs of analogue filter design [13]. Reconfiguration is necessary for complicated electronic systems with one or more stages where a continuous and quick change in the frequency domain is required. Recently, an easy and quick method of switching from one mode to another has been popular in applications of microelectronic systems, signal processing, microwave engineering and etc., [46]. Numerous modern technological publications work out the simple task since these re-configurable filters have been overall interest among researchers. These filters provide an effective solution to the demands of emerging research to influence its concerns also in the fields of signal processing and microwave systems [710]. *Author for correspondence Recently, wireless communication systems [11] have used audio signal-processing [12], among other things, and also have reconfigured conventional allpass and band-stop filters [1315]. In this context, only the tuning ability [16] of filter components (i.e., resistors, capacitors and inductors) is not enough for adapting to flexible frequency-domain parameters (peak-frequency, bandwidth, etc.). This motivates the authors to realize the re-configuration of all-pass filter to provide notch-responses and that of bandstop filters to give flat magnitude responses [1719].However, this important level of reconfiguration cannot be claimed by using any active devices or any integer order (IO) standard passive devices due to their limited degree of design freedom. Therefore, the authors incorporate fractional-order (FO) devices such as fractional capacitor (FC) and fractional inductor (FI) for attaining the required level of reconfigurability in active filters. There is a comprehensive design philosophy for filter modelling and its design that starts with filter description and ends with circuit implementation. The introduction of

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“…order controller [5]- [7], back-stepping controller [8], a model-based back-stepping controller [9].…”

Section: Introductionmentioning

confidence: 99%

Implementation of a PID Type Sliding-Mode Controller Design Based on Fractional Order Calculus for Industrial Process System

Ayten

Dumlu

2021

ELEKTRON ELEKTROTECH

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This paper is devoted to designing a fractional order Proportional Integral Derivative (PID) type sliding mode control method (FO-PIDSMC) for a non-linear liquid level coupled tank process system. By considering the individual advantages of the FO calculus and PID type SMC method, this proposed FO-PIDSMC technique is designed to integrate the FO calculus method with PID type SMC scheme to obtain an accurate and robust liquid level tracking in terms of the predefined reference trajectory. The real-time experimental results of the proposed controller suggest a dramatic improvement over the traditional process system controller methods in both trajectory tracking and required control action.

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Reconnection–less Reconfigurable Fractional–Order Current–Mode Integrator Design With Simple Control

Cited by 9 publications

References 51 publications

Versatile Field-Programmable Analog Array Realizations of Power-Law Filters

Versatile Field-Programmable Analog Array Realizations of Power-Law Filters

Re-configurable band-stop and all-pass filter using fractional-order topology

Implementation of a PID Type Sliding-Mode Controller Design Based on Fractional Order Calculus for Industrial Process System

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