Design and performance study of phase‐locked loop using fractional‐order loop filter

Tripathy, Madhab Chandra; Mondal, Debasmita; Biswas, Karabi; Sen, Siddhartha

doi:10.1002/cta.1972

Cited by 58 publications

(39 citation statements)

References 26 publications

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“…An electrochemical (EC) fractor is developed by Biswas et al dipping a porous PMMA coated Cu / Pt electrode, in a polarizing solution [13]. This fractor is low cost, simple to fabricate and has already been implemented successfully to realize many FO systems [13]- [17]. However this fractor lacks defined guideline to achieve different CP angle and wide CP zone.…”

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confidence: 98%

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Realization of a carbon nanotube based electrochemical fractor

Adhikary

Khanra

Sen

et al. 2015

2015 IEEE International Symposium on Circuits and Systems (ISCAS)

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A fractor or a fractional order element should show a constant phase (CP), between ±90 0 (except 0 0 ) at any frequency, theoretically. However, all the practical realization of single component fractor have limitation in their CP zone. Not many single-component-fractors have been reported having CP zone more than a decade. In this work, new electrochemical type fractors have been developed, by coating a polymer-carbon nanotube (CNT) composite over Cu clad epoxy block and putting the block in polarizing solution. By varying the percentage of CNT in polymer-CNT composite and the nature of polarizing solution, two different types of fractor have been realized. One is a wide -band fractor having CP zone of five decades (20 Hz to 2 MHz) with a ripple of ±2 0 only. The other one shows two distinct CP zones at two different phase angles. Each zone is about two decade long. These fractors will help to realize fractional order circuits which need to be operated in wide frequency band.

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confidence: 98%

“…Its impedance response is governed by FO differential equation. Over past two decades, the use of FO element has steadily gained potential in different fields of control system [1]- [7] and signal processing [8]- [17]. However, market unavailability of single component packaged fractor limited these successes much to theoretical domain.…”

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confidence: 99%

Realization of a carbon nanotube based electrochemical fractor

Adhikary

Khanra

Sen

et al. 2015

2015 IEEE International Symposium on Circuits and Systems (ISCAS)

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“…In recent decades, fractional-order operators have been the driving force behind an increasing number of investigations. With the development of studies in this area, practical and theoretical investigations into the application of fractional-order operators in engineering sciences have now become widespread in the academic community (Padula and Visioli, 2014;Pakzad et al, 2013;Tripathy et al, 2015a;Tripathy et al, 2015b). For example, fractional-order calculations have been applied in mechanical and electrical engineering, biology, economics, and mathematics, among other fields (Hernandez et al, 2014;Wang and Li, 2014;Cortes and Elejabarrieta, 2007).…”

Section: Introductionmentioning

confidence: 99%

Robust Synchronisation of Uncertain Fractional-Order Chaotic Unified Systems

Noghredani

Balochian

2017

Proceedings of the Latvian Academy of Sciences. Section B. Natural, Exact, and Applied Sciences.

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INTRODUCTIONThe broad field of chaos theory has been among the most interesting issues researchers have studied in recent decades. Concepts related to chaos theory and its related disciplines are employed in different fields, including medicine (Sarbaz et al., 2012;Aghababa and Borjkhani 2014;Provata et al., 2012), economics (Pan et al., 2012;Airaudo and Zanna, 2012), functioning of laser diodes (Banerjee et al., 2012;Gao, 2012), and mathematics (Hosseinalipour, 2013;Kupka, 2014). The control of chaos-related phenomena has attracted wide attention from many different kinds of researchers.Although the idea of fractional-order operators has a history as long as that of integer-order operators, interest in this field is expanding due to an increasing amount of attention from scientists and mathematicians. In recent decades, fractional-order operators have been the driving force behind an increasing number of investigations. With the development of studies in this area, practical and theoretical investigations into the application of fractional-order operators in engineering sciences have now become widespread in the academic community (Padula and Visioli, 2014;Pakzad et al., 2013;Tripathy et al., 2015a;Tripathy et al., 2015b). For example, fractional-order calculations have been applied in mechanical and electrical engineering, biology, economics, and mathematics, among other fields (Hernandez et al., 2014;Wang and Li, 2014;Cortes and Elejabarrieta, 2007).A chaotic system is a highly complex, dynamic nonlinear system. The important and salient characteristics of chaotic systems include their extreme sensitivity to initial conditions, making the synchronisation of chaotic systems vital. The rapid increase in interest in fractional-order chaotic systems has manifested in investigations into the chaotic behavior of fractional-order horizontal platform systems (Aghababa, 2014) and in the proliferation of other published articles on these systems (Yin et al., 2013;Li and Chen, 2014;Li and Tong, 2013).During the past two decades, the control and synchronisation of fractional-order and integer-order chaotic systems have largely attracted scientists and researchers due to their potential applications in secure communications, biological systems, medicine, and other fields. For example, an active-control technique has been provided for the identical and non-identical synchronisation of fractional-order chaotic systems (Srivastava et al., 2014). In a different application, function-projective synchronisations (FPS) of identical and non-identical modified finance systems (MFS) and the Shimizu-Morioka system (S-MS) have been studied via active control technique (Kareem et al., 2012). Fast projective synchronisation of fractional-order chaotic and reverse chaotic systems with its application to an affine cipher using date of birth (DOB) have also been reviewed (Muthukumar PROCEEDINGS OF THE LATVIAN ACADEMY OF SCIENCES. Section B, Vol. 71 (2017)

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“…Ahmadi et al present there four possible realizations of the filters: one based on a frequency-dependent negative resistor (FDNR), another based on an inductor and two based on multiple amplifier biquads (MABs). In [41], there are another examples of design and implementation of fractional-order filters, along with performance analysis-in both simulation and experiment. This research stated clearly the superiority of non-integer order systems over classical systems.…”

Section: Introductionmentioning

confidence: 99%

On Digital Realizations of Non-integer Order Filters

Baranowski

Bauer

Zagórowska

et al. 2016

Circuits Syst Signal Process

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Typical approach to non-integer order filtering consists of analogue design and implementation. Digital realization of non-integer order systems is susceptible to problems such as infinite memory requirement and sensitivity to numerical errors. The aim of this paper is to present two efficient methods for digital realization of noninteger order filters: discrete time-domain Oustaloup approximation and Laguerre impulse response approximation. Properties of both methods are investigated with use of non-integer low-pass filter. Filters realized with presented methods are then used for filtering of EEG signal. Paper concludes with discussion of merits and flaws of both methods.Keywords Non-integer order filter · Fractional filter · Oustaloup method · discretization · Laguerre impulse response approximation Work realized in the scope of project titled "Design and application of non-integer order subsystems in control systems". Project was financed by National Science Centre on the base of decision no.

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Design and performance study of phase‐locked loop using fractional‐order loop filter

Cited by 58 publications

References 26 publications

Realization of a carbon nanotube based electrochemical fractor

Realization of a carbon nanotube based electrochemical fractor

Robust Synchronisation of Uncertain Fractional-Order Chaotic Unified Systems

On Digital Realizations of Non-integer Order Filters

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