Relevant bibliographies by topics / Fractional-order filter

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Fractional-order filter'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Fractional-order filter"

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Sengar, Kanchan, and Arun Kumar. "Fractional Order Capacitor in First-Order and Second-Order Filter." Micro and Nanosystems 12, no. 1 (2020): 75–78. http://dx.doi.org/10.2174/1876402911666190821100400.

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Background: Fractional order Butterworth and Chebyshev (low-pass filter circuits, highpass filter circuits and band-pass filters circuits) types of first and second order filter circuits have been simulated and their transfer function are derived. The effect of change of the fractional order α on the behavior of the circuits is investigated. Objective: This paper presents the use of fractional order capacitor in active filters. The expressions for the magnitude, phase, the quality factor, the right-phase frequencies, and the half power frequencies are derived and compared with their previous c
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Yu, Wan Neng, Su Wen Li, and Min Ying Zheng. "The Filtering Mechanism Modeling and Simulation of Passive Power Filter Based on Differentiator Circuit." Advanced Materials Research 430-432 (January 2012): 1593–96. http://dx.doi.org/10.4028/www.scientific.net/amr.430-432.1593.

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Traditional continuous-time filters are of integer order which the power loss of passive power filter is general very much. However, using fractional calculus, filters may also be represented by the more general fractional-order differential equations. In this work, firstly, the passive elements were described with fractional-order differential equations depending on the introduction of fractional calculus application research. Secondly, the mathematical model of fractional-order filters was derived and discussed which includes high impedance at a certain frequency and low impedance at others,
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Koksal, Mehmet Emir. "Fractional Order Butterworth Filter." International Journal of Advanced Engineering Research and Science 6, no. 12 (2018): 178–85. http://dx.doi.org/10.22161/ijaers.5.12.25.

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Qiu, Xinyi, Hui Feng, and Bo Hu. "Fractional Order Graph Filters: Design and Implementation." Electronics 10, no. 4 (2021): 437. http://dx.doi.org/10.3390/electronics10040437.

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Existing graph filters, polynomial or rational, are mainly of integer order forms. However, there are some frequency responses which are not easily achieved by integer order approximation. It will substantially increase the flexibility of the filters if we relax the integer order to fractional ones. Motivated by fractional order models, we introduce the fractional order graph filters (FOGF), and propose to design the filter coefficients by genetic algorithm. In order to implement distributed computation on a graph, an FOGF can be approximated by the continued fraction expansion and transformed
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RADWAN, A. G., A. S. ELWAKIL, and A. M. SOLIMAN. "ON THE GENERALIZATION OF SECOND-ORDER FILTERS TO THE FRACTIONAL-ORDER DOMAIN." Journal of Circuits, Systems and Computers 18, no. 02 (2009): 361–86. http://dx.doi.org/10.1142/s0218126609005125.

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This work is aimed at generalizing the design of continuous-time second-order filters to the non-integer-order (fractional-order) domain. In particular, we consider here the case where a filter is constructed using two fractional-order capacitors both of the same order α. A fractional-order capacitor is one whose impedance is Zc = 1/C(jω)α, C is the capacitance and α (0 < α ≤ 1) is its order. We generalize the design equations for low-pass, high-pass, band-pass, all-pass and notch filters with stability constraints considered. Several practical active filter design examples are then illustr
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Freeborn, Todd, Brent Maundy, and Ahmed S. Elwakil. "Approximated Fractional Order Chebyshev Lowpass Filters." Mathematical Problems in Engineering 2015 (2015): 1–7. http://dx.doi.org/10.1155/2015/832468.

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We propose the use of nonlinear least squares optimization to approximate the passband ripple characteristics of traditional Chebyshev lowpass filters with fractional order steps in the stopband. MATLAB simulations of(1+α),(2+α), and(3+α)order lowpass filters with fractional steps fromα = 0.1 toα = 0.9 are given as examples. SPICE simulations of 1.2, 1.5, and 1.8 order lowpass filters using approximated fractional order capacitors in a Tow-Thomas biquad circuit validate the implementation of these filter circuits.
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Guo, Ying, Chong Lin, and Bing Chen. "Reduced-Order H∞ Filter Design for Singular Fractional-Order Systems." Fractal and Fractional 6, no. 2 (2022): 97. http://dx.doi.org/10.3390/fractalfract6020097.

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This paper investigates the problem of reduced-order H∞ filter design for singular fractional-order systems with order 0<α<1. It provides necessary and sufficient conditions for designs of both reduced-order H∞ filters and zeroth-order H∞ filters. When reduced to special cases, the present results are shown to include those in recent works as special cases. Illustrative examples are presented to demonstrate the effectiveness of the results.
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Zhao, Yan Chun. "Design and Application of Digital Filter Based on Calculus Computing Concept." Applied Mechanics and Materials 513-517 (February 2014): 3151–55. http://dx.doi.org/10.4028/www.scientific.net/amm.513-517.3151.

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Calculus has been widely applied in engineering fields. The development of Integer order calculus theory is more mature in the project which can obtain fractional calculus theory through the promotion of integration order. It extends the flexibility of calculation and achieves the engineering analysis of multi-degree of freedom. According to fractional calculus features and the characteristics of fractional calculus, this paper treats the frequency domain as the object of study and gives the fractional calculus definition of the frequency characteristics. It also designs the mathematical model
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Verma, Rakesh, Neeta Pandey, and Rajeshwari Pandey. "Electronically Tunable Fractional Order Filter." Arabian Journal for Science and Engineering 42, no. 8 (2017): 3409–22. http://dx.doi.org/10.1007/s13369-017-2500-8.

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Mahata, Shibendu, Norbert Herencsar, and David Kubanek. "Further Generalization and Approximation of Fractional-Order Filters and Their Inverse Functions of the Second-Order Limiting Form." Fractal and Fractional 6, no. 4 (2022): 209. http://dx.doi.org/10.3390/fractalfract6040209.

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This paper proposes a further generalization of the fractional-order filters whose limiting form is that of the second-order filter. This new filter class can also be regarded as a superset of the recently reported power-law filters. An optimal approach incorporating constraints that restricts the real part of the roots of the numerator and denominator polynomials of the proposed rational approximant to negative values is formulated. Consequently, stable inverse filter characteristics can also be achieved using the suggested method. Accuracy of the proposed low-pass, high-pass, band-pass, and
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Dissertations / Theses on the topic "Fractional-order filter"

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Borisov, Egor. "Analogové elektronické obvody obsahující prvky neceločíselného řádu." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2017. http://www.nusl.cz/ntk/nusl-317139.

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In this paper it is illustrated that currently there is a new element in electronics - fractional order filter consisting of fractal devices. The circuits selected are presented and analyzed in this diploma thesis. The calculation of the basic characteristics and parameters of the filter of fractal elements was made. An analysis of the functions and their graphs were presented. The simulation of fractional-order filter for its design was made in the program Matlab. The graphs of frequency characteristics (magnitude and phase response) were obtained in the program OrCAD. The examples of using t
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Dvořák, Jan. "Řiditelné analogové elektronické obvody neceločíselného řádu." Doctoral thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2020. http://www.nusl.cz/ntk/nusl-433474.

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Disertační práce se zabývá syntézou a analýzou nových obvodových struktur neceločíselného (fraktálního) řádu s řiditelnými parametry. Hlavní cíl této práce je návrh nových řešení filtračních struktur fraktálního řádu v proudovém módu, emulátorů prvků fraktálního řádu a také oscilátorů. Práce obsahuje návrh tří emulátorů pasivního prvku fraktálního řádu, tři filtrační struktury a dva oscilátory navržené na základě využití pasivního prvku fraktálního řádu v jejich obvodové struktuře a dvě obecné koncepce filtrů fraktálního řádu založené na využití aproximace přenosové funkce fraktálního řádu. Na
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Salášek, Jan. "Analogové funkční bloky fraktálního řádu." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2016. http://www.nusl.cz/ntk/nusl-241141.

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Thesis describes the design of the blocks of fractional-order filters approximation using a filter of higher order integer. Active filters of third-order are use to create filter of 1+alfa -order, where alfa is between zero to one. One of the filters is practically implemented and measured.
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Langhammer, Lukáš. "Plně diferenční kmitočtové filtry s moderními aktivními prvky." Doctoral thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2016. http://www.nusl.cz/ntk/nusl-256565.

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Tato disertační práce se zaměřuje na výzkum v oblasti frekvenčních filtrů. Hlavním cílem je navrhnout a analyzovat plně diferenční kmitočtové filtry pracující v proudovém módu a využívající moderní aktivní prvky. Prezentované filtry jsou navrženy za použití proudových sledovačů, operačních transkonduktančních zesilovačů, plně diferenčních proudových zesilovačů a transrezistančních zesilovačů. Návrh se zaměřuje na možnost řídit některý z typických parametrů filtru pomocí řiditelných aktivních prvků, které jsou vhodně umístněny do obvodové struktury. Jednotlivé prezentované filtry jsou navrženy
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Kubát, Pavel. "Analogové elektronické emulátory obvodů neceločíselného řádu." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2021. http://www.nusl.cz/ntk/nusl-442475.

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Diploma thesis deals with circuits contain fractional-order elements. The first part of this paper deals with this problem, there were also described methods of design fractionalorder elements and types of circuits containing the fractiona-order elements which can be applied in practice. Used active elements for practical part can be found in the second chapter. Design of GIC circuits and implementation of fractional-order element inside the circuit are shown in the last chapture. Parasitic analysis and stability of frequency filter containing fractional-order element had been also described.
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Uher, Jiří. "Návrh filtračních struktur fraktálního řádu." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2016. http://www.nusl.cz/ntk/nusl-242051.

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This thesis deals with the fractional (1+)-order filters. The proposed filters operate in the current-mode. The derivation of the filters has been achieved using a third-order aproximation of the coresponding fractional-order transfer functions. It also describes active elements such as universal current conveyor, current follower and operational transconductance amplifier. In the end of this thesis some new circuit solutions of the fractional-order filter are proposed. Then the proposed filters are realized and experimentally measured.
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Mawonou, Kodjo. "Développement d’algorithmes adaptatifs embarqués et débarqués du système de gestion batterie pour l’estimation des états de la batterie en usage automobile." Thesis, université Paris-Saclay, 2020. http://www.theses.fr/2020UPASC028.

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Les aspects environnementaux prennent une part croissante dans les préoccupations des pouvoirs publics et de l’opinion. Dans ce contexte les constructeurs automobile doivent y répondre en proposant des véhicules ayant un respect de l’environnement toujours plus important. Ces travaux de thèse s’inscrivent dans le développement de véhicules électriques (VEs). L’énergie des véhicules électriques et hybrides est stockée dans des batteries constituées de nombreuses cellules électro-chimiques (souvent lithium-ion) connectées les unes aux autres en série et en parallèle. Ces cellules nécessitent une
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Kahaei, Mohammad Hossein. "Performance analysis of adaptive lattice filters for FM signals and alpha-stable processes." Thesis, Queensland University of Technology, 1998. https://eprints.qut.edu.au/36044/7/36044_Digitised_Thesis.pdf.

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The performance of an adaptive filter may be studied through the behaviour of the optimal and adaptive coefficients in a given environment. This thesis investigates the performance of finite impulse response adaptive lattice filters for two classes of input signals: (a) frequency modulated signals with polynomial phases of order p in complex Gaussian white noise (as nonstationary signals), and (b) the impulsive autoregressive processes with alpha-stable distributions (as non-Gaussian signals). Initially, an overview is given for linear prediction and adaptive filtering. The convergence
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McCord, John J. "Investigating the topological order of an ansatz for the fractional quantum Hall effect in the half-filled second Landau level." Thesis, California State University, Long Beach, 2017. http://pqdtopen.proquest.com/#viewpdf?dispub=10240257.

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<p> The Moore-Read Pfaffian and anti-Pfaffian states have been under scrupulous review as candidates which describe the fractional quantum Hall effect at filling factor 5/2. Quantum states in the universality class of the Moore-Read Pfaffian/anti-Pfaffian have non-trivial intrinsic topological order and support low-energy non-Abelian excitations that have applications in fault-tolerant topological quantum computing schemes. Both states are exact ground states of three-body Hamiltonians that explicitly break particle-hole symmetry. We study the topological order of a competing ansatz state &PSg
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Zapletal, Miroslav. "Diferenční kmitočtové filtry neceločíselného řádu." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2017. http://www.nusl.cz/ntk/nusl-317022.

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This diploma thesis is concentrated to fully differential and non-differential fractional-order filters with active elements. It describes how we can obtain fractional-order fully-differential filters design from non-differential design, thesis describes realization in OrCad program and simulation of this project. The first part of the thesis concerns theoretical analysis of frequency filters, active elements and fractional-order filters. The second part of the thesis includes designs of filters and simulations of differential structures and rest of non-differential structures simulation. The
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Book chapters on the topic "Fractional-order filter"

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Sahu, Tapaswini, Madhab Chandra Tripathy, Kumar Biswal, and Sanjeeb Kumar Kar. "Performance Analysis of Fractional Order Filter Using Fractional Order Elements." In Lecture Notes in Networks and Systems. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-0695-3_39.

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Tasneem, Sadaf, Rajeev Kumar Ranjan, and Sajal K. Paul. "Electronically Tunable Fractional-Order Universal Filter." In Lecture Notes in Electrical Engineering. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-3756-7_2.

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Soni, Ashu, Namrata Pandey, and Maneesha Gupta. "Harmony Search-Based Fractional-Order Chebyshev Filter." In Lecture Notes in Electrical Engineering. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-99-7077-3_33.

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Ranganayakulu, R., T. Kiranmayi, Ch V. L. Aditya, I. Tanoj Kumar, and G. Uday Bhaskar Babu. "Improved Fractional Filter IMC Controller Design for Fractional Order System." In Lecture Notes in Electrical Engineering. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-4975-3_38.

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Chen, Pengchong, and Ying Luo. "Fractional Order PIλDμ Control Design with Bode's Ideal Cutoff Filter." In Fractional Order PID and ADR Controls. CRC Press, 2025. https://doi.org/10.1201/9781003397632-7.

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Zhang, Yanzhu, and Jingjiao Li. "An Improvement Method of Fractional-Order Filter Approximation." In Advanced Research on Computer Education, Simulation and Modeling. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-21802-6_17.

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Biswal, Kumar, Madhab Chandra Tripathy, and Sanjeeb Kar. "Performance Analysis of Fractional Order Low-pass Filter." In Lecture Notes in Networks and Systems. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-2774-6_28.

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Sharma, Nimmi, Elizabeth Rufus, Vinod Karar, and Shashi Poddar. "Fractional Order Extended Kalman Filter for Attitude Estimation." In Advances in Intelligent Systems and Computing. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-16657-1_77.

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Liang, Xiao, Guangming Yan, Yanfeng Zhu, Tianyi Li, and Xiaojun Sun. "Optimal Information Fusion Descriptor Fractional Order Kalman Filter." In Communications in Computer and Information Science. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-7590-7_3.

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Biswal, Kumar, Madhab Chandra, and Sanjeeb Kumar Kar. "Performance Analysis of Fractional-Order High-Pass Filter." In Lecture Notes in Electrical Engineering. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-2305-2_41.

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Conference papers on the topic "Fractional-order filter"

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Wei, Ying, Guanran Wang, Guangming Yan, Xiaojun Sun, and Bo Zhang. "Centralized Fusion Time-delay Fractional Order Kalman Filter." In 2024 43rd Chinese Control Conference (CCC). IEEE, 2024. http://dx.doi.org/10.23919/ccc63176.2024.10662694.

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Vardhan, Dhairya, and Sachin Nath Agarwal. "Dual Mode Biquadratic Fractional Order Filter Using VDTA." In 2025 10th International Conference on Signal Processing and Communication (ICSC). IEEE, 2025. https://doi.org/10.1109/icsc64553.2025.10967689.

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Man, Minghao, Yang Zhang, Guangming Yan, Xiaojun Sun, and Bo Zhang. "Centralized Fusion Robust Fractional Order Kalman Filter with Colored Noise." In 2024 43rd Chinese Control Conference (CCC). IEEE, 2024. http://dx.doi.org/10.23919/ccc63176.2024.10662056.

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Ranjan, Anjana, Utkal Mehta, Kishore Bingi, and Arshaque Ali. "Internal-Model-Control using a Complex-Order Filter: Design for Fractional-Order Delayed System." In 2025 7th International Conference on Signal Processing, Computing and Control (ISPCC). IEEE, 2025. https://doi.org/10.1109/ispcc66872.2025.11039426.

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Sun, Xiaojun, and Guangming Yan. "Fractional order Kalman filter." In 2011 2nd International Conference on Intelligent Control and Information Processing (ICICIP). IEEE, 2011. http://dx.doi.org/10.1109/icicip.2011.6008365.

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Ates, Abdullah, and YangQuan Chen. "Fractional Order Filter Discretization With Marine Predators Algorithm." In ASME 2021 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/detc2021-67611.

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Abstract In this study, discrete time models of continuous time fractional order filters are obtained by using the Marine Predators Algorithm (MPA). Marine Predators optimization algorithm is a population-based heuristic method. This method is inspired by the hunting behavior of marine predators. The algorithm works on three basic phases. These phases occur according to the difference or equality of the velocity of the prey and the predator. As it is known, uniform distribution is generally used in stochastic based optimization algorithms. However, in the MPA method, Brownian and Levy distribu
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Chen, YangQuan, Blas M. Vinagre, and Igor Podlubny. "On Fractional Order Disturbance Observer." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/vib-48371.

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In this paper, for the first time, the fractional order disturbance observer (FO-DOB) is proposed for vibration suppression applications such as hard disk drive servo control. It has been discovered in a recently published US patent application (US20010036026) (Chen et al., 2001) that there is a tradeoff between the the phase margin loss and the strength of the low frequency vibration suppression. Given the required cutoff frequency of the low pass filter, also known as the Q-filter, it turns out that the relative degree of the Q-filter is the major tuning knob for this tradeoff. As a motivati
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Safarinejadian, Behrouz, and Mojtaba Asad. "Fractional order state space canonical model identification using fractional order information filter." In 2015 International Symposium on Artificial Intelligence and Signal Processing (AISP). IEEE, 2015. http://dx.doi.org/10.1109/aisp.2015.7123479.

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Theumer, Radek, and Lukáš Langhammer. "Fractional-order integrator and its application in FLF fractional-order frequency filter." In STUDENT EEICT 2022. Fakulta elektrotechniky a komunikacnich technologii VUT v Brne, 2022. http://dx.doi.org/10.13164/eeict.2022.180.

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Srivastava, Jyoti. "VDTA based Fractional Order Universal Filter." In 2020 IEEE International Conference for Innovation in Technology (INOCON). IEEE, 2020. http://dx.doi.org/10.1109/inocon50539.2020.9298221.

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