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Dissertations / Theses on the topic 'Fractional Order'

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

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1

Pappalardo, Fulvio Livio. "Fractional Order Systems:PID Controller Design and Fractional Order Element Modeling." Doctoral thesis, Università di Catania, 2015. http://hdl.handle.net/10761/3989.

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This research thesis within the XXVI Ph.D. Course in Systems Engineering is centered on Fractional, or also noticed as Non-Integer Order, Systems. The Ph.D. Thesis' purpose is to present the auto-tuning procedure of Fractional Order PID Controllers PID proposing also a future implementation via fractional order elements. The Thesis is organized in four chapters to outline the different research activity phases developed during the Ph.D. course. In the Chapter 1 an overview on Fractional Order Systems is presented. The Chapter 2 focuses on the auto-tuning procedure proposed for Non-Integer Orde
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2

Pal, Kamal K. "Higher order numerical methods for fractional order differential equations." Thesis, University of Chester, 2015. http://hdl.handle.net/10034/613354.

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Adams, Jay L. "Hankel Operators for Fractional-Order Systems." University of Akron / OhioLINK, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=akron1248198109.

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Allafi, Walid. "Identification methods for fractional order nonlinear models." Thesis, Coventry University, 2015. http://curve.coventry.ac.uk/open/items/20fdab24-624b-4c5b-bb97-2eb47fbbe51d/1.

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This thesis considers the development of novel parameter estimation and system identification methods for fractional-order continuous-time nonlinear systems from sampled input-output signals. It is recognised that there is no universal model parameter estimation method which would be suitable for all types of nonlinear system models. In this work, two parameter estimation methods, targeting specific nonlinear model structures, have been developed. The first proposed parameter estimation method is based on an extension of the simplified and refined instrumental variable method for identificatio
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5

Tapdigoglu, Ramiz. "Inverse problems for fractional order differential equations." Thesis, La Rochelle, 2019. http://www.theses.fr/2019LAROS004/document.

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Dans cette thèse, nous nous intéressons à résoudre certains problèmes inverses pour des équations différentielles aux dérivées fractionnaires. Un problème inverse est généralement mal posé. Un problème mal posé est un problème qui ne répond pas à l’un des trois critères de Hadamard pour être bien posé, c’est-à-dire, soit l’existence, l’unicité ou une dépendance continue aux données n'est plus vraie, à savoir, des petits changements dans les données de mesure entraînent des changements indéfiniment importants dans la solution. La plupart des difficultés à résoudre des problèmes mal posés sont c
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Barkeshli, Maissam. "Topological order in the fractional quantum Hall states." Thesis, Massachusetts Institute of Technology, 2010. http://hdl.handle.net/1721.1/68964.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, 2010.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (p. 231-237).<br>This thesis is focused on the theoretical characterization of topological order in non-Abelian fractional quantum Hall (FQH) states. The first part of the thesis is concerned with the ideal wave function approach to FQH states, where the idea is to try to obtain model wave functions and model Hamiltonians for all possible FQH states and to have a physical way of characterizing their topological order. I will explain rec
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Mirghasemi, Seyed Alireza. "Fractional Order Controller for Quadcopter Subjected to Ground Effect." Thesis, Université d'Ottawa / University of Ottawa, 2019. http://hdl.handle.net/10393/39252.

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Although the concept of fractional calculus was known for centuries, it was not considered in engineering due to the lack of implementation tools and acceptable performance of integer order models and control. However, recently, engineers and researchers started to investigate the potentially high performance of fractional calculus in various fields among which are acoustics, conservation of mass, diffusion equation and specifically in this thesis control theory. The intention of this thesis is to analyze the relative performance of fractional versus integer order PID controller for a quadcopt
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Shi, Chen Yang. "High order compact schemes for fractional differential equations with mixed derivatives." Thesis, University of Macau, 2017. http://umaclib3.umac.mo/record=b3691348.

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9

Connolly, Joseph Arthur. "The numerical solution of fractional and distributed order differential equations." Thesis, University of Chester, 2004. http://hdl.handle.net/10034/76687.

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Fractional Calculus can be thought of as a generalisation of conventional calculus in the sense that it extends the concept of a derivative (integral) to include non-integer orders. Effective mathematical modelling using Fractional Differential Equations (FDEs) requires the development of reliable flexible numerical methods. The thesis begins by reviewing a selection of numerical methods for the solution of Single-term and Multi-term FDEs. We then present: 1. a graphical technique for comparing the efficiency of numerical methods. We use this to compare Single-term and Multi-term methods and g
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10

Djabeng, Emmanuel N. "Modeling, Simulation and Implementation of a Fractional-Order Control System." University of Akron / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=akron1406115795.

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11

Jarrah, Bilal. "Fractional Order and Inverse Problem Solutions for Plate Temperature Control." Thesis, Université d'Ottawa / University of Ottawa, 2020. http://hdl.handle.net/10393/40551.

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Surface temperature control of a thin plate is investigated. Temperature is controlled on one side of the plate using the other side temperature measurements. This is a decades-old problem, reactivated more recently by the awareness that this is a fractional-order problem that justifies the investigation of the use of fractional order calculus. The approach is based on a transfer function obtained from the one-dimensional heat conduction equation solution that results in a fractional-order s-domain representation. Both the inverse problem approach and the fractional controller approach are st
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Wei, Xing. "Non-asymptotic method estimation and applications for fractional order systems." Thesis, Bourges, INSA Centre Val de Loire, 2017. http://www.theses.fr/2017ISAB0003/document.

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Cette thèse vise à concevoir des estimateurs non-asymptotiques et robustes pour les systèmes linéaires d’ordre fractionnaire dans un environnement bruité. Elle traite une classe des systèmes linéaires d’ordre fractionnaire modélisée par la dite pseudo représentation d’état avec des conditions initiales inconnues. Elle suppose également que les systèmes étudiés ici peuvent être transformés sous la forme canonique de Brunovsky. Pour estimer le pseudo-état, la forme précédente est transformée en une équation différentielle linéaire d’ordre fractionnaire en prenant en compte les valeurs initiales
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13

Malek, Hadi. "Control of Grid-Connected Photovoltaic Systems Using Fractional Order Operators." DigitalCommons@USU, 2014. https://digitalcommons.usu.edu/etd/2157.

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This work presents a new control strategy using fractional order operators in threephase grid-connected photovoltaic generation systems with unity power factor for any situation of solar radiation. The modeling of the space vector pulse width modulation inverter and fractional order control strategy using Park’s transformation are proposed. The system is able to compensate harmonic components and reactive power generated by the loads connected to the system. A fractional order extremum seeking control and “Bode’s ideal cut-off extremum seeking control” are proposed to control the power between
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14

Qin, Shanlin. "Fractional order models: Numerical simulation and application to medical imaging." Thesis, Queensland University of Technology, 2017. https://eprints.qut.edu.au/115108/1/115108_9066888_shanlin_qin_thesis.pdf.

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This thesis is primarily concerned with developing new models and numerical methods based on the fractional generalisation of the Bloch and Bloch-Torrey equations to account for anomalous MRI signal attenuation. The two main contributions of the research are to investigate the anomalous evolution of MRI signals via the fractionalised Bloch equations, and to develop new effective numerical methods with supporting analysis to solve the time-space fractional Bloch-Torrey equations.
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15

Kartci, Aslihan. "Analogová implementace prvků neceločíselného řádu a jejich aplikace." Doctoral thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2019. http://www.nusl.cz/ntk/nusl-402652.

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S pokroky v teorii počtu neceločíselného řádu a také s rozšířením inženýrských aplikací systémů neceločíselného řádu byla značná pozornost věnována analogové implementaci integrátorů a derivátorů neceločíselného řádu. Je to dáno tím, že tento mocný matematický nástroj nám umožňuje přesněji popsat a modelovat fenomén reálného světa ve srovnání s klasickými „celočíselnými“ metodami. Navíc nám jejich dodatečný stupeň volnosti umožňuje navrhovat přesnější a robustnější systémy, které by s konvenčními kondenzátory bylo nepraktické nebo nemožné realizovat. V předložené disertační práci je věnována p
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16

Hao, Zhaopeng. "High-order numerical methods for integral fractional Laplacian: algorithm and analysis." Digital WPI, 2020. https://digitalcommons.wpi.edu/etd-dissertations/612.

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The fractional Laplacian is a promising mathematical tool due to its ability to capture the anomalous diffusion and model the complex physical phenomenon with long-range interaction, such as fractional quantum mechanics, image processing, jump process, etc. One of the important applications of fractional Laplacian is a turbulence intermittency model of fractional Navier-Stokes equation which is derived from Boltzmann's theory. However, the efficient computation of this model on bounded domains is challenging as highly accurate and efficient numerical methods are not yet available. The bottlene
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17

Mukhopadhyay, Shayok. "Fractional Order Modeling and Control: Development of Analog Strategies for Plasma Position Control of the Stor-1M Tokamak." DigitalCommons@USU, 2009. https://digitalcommons.usu.edu/etd/460.

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This work revolves around the use of fractional order calculus in control science. Techniques such as fractional order universal adaptive stabilization (FO-UAS), and the fascinating results of their application to real-world systems, are presented initially. A major portion of this work deals with fractional order modeling and control of real-life systems like heat flow, fan and plate, and coupled tank systems. The fractional order models and controllers are not only simulated, they are also emulated using analog hardware. The main aim of all the above experimentation is to develop a fractiona
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18

Schwarz, Sebastian [Verfasser], and L. [Akademischer Betreuer] Weis. "Fractional order splitting for semilinear evolution equations / Sebastian Schwarz ; Betreuer: L. Weis." Karlsruhe : KIT-Bibliothek, 2019. http://d-nb.info/1199459364/34.

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19

Jiang, Xin. "A Systematic Approach for Digital Hardware Realization of Fractional-Order Operators and Systems." University of Akron / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=akron1386649994.

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20

Talarcek, Steven C. "An Experimental Study of Disturbance Compensation and Control for a Fractional-Order System." University of Akron / OhioLINK, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=akron1542303891784113.

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21

Bhambhani, Varsha. "Optimal Fractional Order Proportional And Integral Controller For Processes With Random Time Delays." DigitalCommons@USU, 2009. https://digitalcommons.usu.edu/etd/246.

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This thesis developed a new practical tuning method for fractional order proportional and integral controllers (FO-PI) for varying time-delay systems like networked control systems (NCS), sensor networks, etc. Based on previously proposed FO-PI controller tuning rules using fractional Ms constrained integral gain optimization (F-MIGO), simultaneous maximization of the jitter margin and integrated time weighted absolute error (ITAE) performance for a set of hundred gain delay time-constant (KLT) systems having different time-constants and time-delay values are achieved. A multi-objective optimi
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22

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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23

Rahman, Z. A. S. A., B. H. Jasim, Yasir Al-Yasir, Raed A. Abd-Alhameed, and B. N. Alhasnawi. "A New No Equilibrium Fractional Order Chaotic System, Dynamical Investigation, Synchronization and Its Digital Implementation." MDPI, 2021. http://hdl.handle.net/10454/18546.

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yes<br>In this paper, a new fractional order chaotic system without equilibrium is proposed, analyti-cally and numerically investigated, and numerically and experimentally tested. The analytical and numerical investigation were used to describe the system dynamical behaviors including, the system equilibria, the chaotic attractors, the bifurcation diagrams and the Lyapunov expo-nents. Based on the obtained dynamical behaviors, the system can excite hidden chaotic attrac-tors since it has no equilibrium. Then, a synchronization mechanism based on the adaptive con-trol theory has been developed
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24

Abdelsheed, Ismail Gad Ameen. "Fractional calculus: numerical methods and SIR models." Doctoral thesis, Università degli studi di Padova, 2016. http://hdl.handle.net/11577/3422267.

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Fractional calculus is ”the theory of integrals and derivatives of arbitrary order, which unify and generalize the notions of integer-order differentiation and n-fold integration”. The idea of generalizing differential operators to a non-integer order, in particular to the order 1/2, first appears in the correspondence of Leibniz with L’Hopital (1695), Johann Bernoulli (1695), and John Wallis (1697) as a mere question or maybe even play of thoughts. In the following three hundred years a lot of mathematicians contributed to the fractional calculus: Laplace (1812), Lacroix (1812), Fourier (1822
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Lee, Yung. "Determination of all fractional-order PID controllers that meet specific stability, robustness, and performance requirements." Diss., Wichita State University, 2013. http://hdl.handle.net/10057/6384.

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Lee, Yung K. "Determination of all fractional-order PID controllers that meet specific stability, robustness, and performance requirements." Diss., Wichita State University, 2013. http://hdl.handle.net/10057/6384.

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In this dissertation, a broad spectrum of research in fractional-order (FO) proportional-integral-derivative (PID) controllers is directed to fundamental control problems such as stability, performance, and robustness. First, nominal stability was considered by finding all the possible FO PID controllers that stabilize a closed-loop system with respect to arbitrary values of the fractional orders λ and μ of the FO PID controller. The findings are presented on the (Kp, Ki), (Kp, Kd), and (Ki, Kd) planes. In order to meet nominal performance specifications, a sensitivity function weight was intr
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Aburakhis, Mohamed Khalifa I. Dr. "Continuous Time and Discrete Time Fractional Order Adaptive Control for a Class of Nonlinear Systems." University of Dayton / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=dayton1565018404845161.

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28

Dima, Ute [Verfasser], and Arnd [Akademischer Betreuer] Rösch. "Regularization in fractional order Sobolev spaces for a parameter identification problem / Ute Dima ; Betreuer: Arnd Rösch." Duisburg, 2017. http://d-nb.info/1147681287/34.

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Li, Ya-Tze, and 李亞澤. "Fractional - Order Active Inductor." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/07861323725848299779.

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碩士<br>輔仁大學<br>電機工程學系碩士班<br>103<br>The passive inductors are employed broadly in communication circuits whereas due to the large chip area requirement, the applications of the inductor is resisted in some special circuits such as power amplifiers. On the other hand, active inductors are prevalent due to the tunablity of their quality factor and inductance. In this thesis, we introduce the fundamentals of fractional-order calculus. To realize the fractional-order active inductors, the conventional gyrator architecture and a bipolar junction transistor (BJT) are employed. The proposed fractional-
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Kumar, Ankush. "Controller Design for Fractional-Order Systems." Thesis, 2013. http://ethesis.nitrkl.ac.in/4777/1/211EE3149.pdf.

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In recent time, the application of fractional derivatives has become quite apparent in modeling mechanical and electrical properties of real materials. Fractional integrals and derivatives has found wide application in the control of dynamical systems, when the controlled system or/and the controller is described by a set of fractional order differential equations. In the present work a fractional order system has been represented by a higher integer order system, which is further approximated by second order plus time delay (SOPTD) model. The approximation to a SOPTD model is carried out by t
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Chan, Cheng-Han, and 詹政翰. "Designs of Variable Fractional Delay Digital Filter and Fractional Order Differintegrator." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/61805518772622476554.

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博士<br>國立高雄第一科技大學<br>電腦與通訊工程所<br>98<br>For the past decade, the design of variable digital filters became one of the most important branches in digital signal processing because of the self-adjustable ability of a variable digital filter online. The variable digital filters are generally classified into two categories. One is the filters with adjustable magnitude response such as the filters with variable cut-off frequencies and the variable fractional-order differentiators/integrators. The other is the filters with variable fractional-delay response. In this dissertation, the weighted least-sq
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Xu, Shao-Hong, and 徐韶鴻. "Design of Fractional-Order PID Controller for a Fractional Order Systems Using Modified Particle Swarm Optimization Approach." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/4t826t.

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碩士<br>國立高雄應用科技大學<br>電機工程系博碩士班<br>103<br>A optimal Fractional Order controller design problem is studied in this thesis, the particle swarm optimization method is used to search the best parameters of the FO controllers. Among different particle swarm optimization methods, this study shows the one with time-varying acceleration coefficients and time-varying intertia weight could result in a smallest performance index, The result show that the modified PSO method is highly suitable for the searching for optimal controller parameters of the FO systems.
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Singh, Satwinder Jit. "New Solution Methods For Fractional Order Systems." Thesis, 2007. https://etd.iisc.ac.in/handle/2005/885.

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This thesis deals with developing Galerkin based solution strategies for several important classes of differential equations involving derivatives and integrals of various fractional orders. Fractional order calculus finds use in several areas of science and engineering. The use of fractional derivatives may arise purely from the mathematical viewpoint, as in controller design, or it may arise from the underlying physics of the material, as in the damping behavior of viscoelastic materials. The physical origins of the fractional damping motivated us to study viscoelastic behavior of disordered
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Singh, Satwinder Jit. "New Solution Methods For Fractional Order Systems." Thesis, 2007. http://hdl.handle.net/2005/885.

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This thesis deals with developing Galerkin based solution strategies for several important classes of differential equations involving derivatives and integrals of various fractional orders. Fractional order calculus finds use in several areas of science and engineering. The use of fractional derivatives may arise purely from the mathematical viewpoint, as in controller design, or it may arise from the underlying physics of the material, as in the damping behavior of viscoelastic materials. The physical origins of the fractional damping motivated us to study viscoelastic behavior of disordered
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Cheng, Yi-Cheng, and 鄭儀誠. "Analysis and Control of Fractional-order systems." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/99073961403659072123.

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博士<br>國立中正大學<br>化學工程所<br>94<br>Fractional-order systems are characterized by differential operator of non-integer orders. They are more adequate to describe real-world system than those of integer-order models. Moreover, fractional-order controllers have been introduced for improving the robustness and performance of feedback control systems. However, the lack of efficient stability analysis and controller design methods for fractional-order systems have hindered the development of fractional-order feedback control systems. This is only particularly true for those systems having time delays or
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CHOU, CHENG-HUNG, and 周政宏. "Fractional-Order PID Control for Fan System." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/u33m22.

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碩士<br>國立雲林科技大學<br>電機工程系<br>106<br>In this thesis, the self-made fan system is used as an experimental plant to simulate a wind speed system. By controlling the wind speed, we can replace the method of changing the size of air conditioner vent to reduce the energy consumption. We use the designed controllers with MATLAB for Model 626 control card to control the fan system that is a convenient method. We designed a fractional-order PID controller in this thesis. It is a classical controller that derived from the integer-order PID controller. However, the fractional-order PID controller has more
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Cheng, Yu-Hsuan, and 鄭雨軒. "Fractional-Order Oscillators and Filters in Semiconductor." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/74085321327126898331.

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碩士<br>輔仁大學<br>電機工程學系<br>101<br>The resister, inductor and capacitor are the most important circuit elements although some coupling parasitic effects may lead to non-ideality. Conventionally, we treat these elements as linear in much research to develop different kind of oscillators, filters and other digital and analog circuits whereas they exhibit some non-linear characteristics. In the past, we were desperately trying to avoid non-linearity by employing some circuit design techniques. Since these nonlinearities always exist, why we do not use these non-linear features to develop even high-pe
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陳奕仲. "Fractional-Order Proportional-Integral Power System Stabilizer." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/13001136437569445265.

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碩士<br>國立臺灣海洋大學<br>電機工程學系<br>101<br>Fractional-order calculus is a generalization of the classical calculus. It allows the order of the differentiation operation to be a fractional number. It has been used in many applications with more accurate descriptions for system dynamic characteristics. The main purpose of this thesis is to investigate the application of the fractional-order theory to the design of power system stabilizer which provides a supplementary control signal to generator excitation system and has been widely adopted in the enhancement of power system stability. This study utiliz
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SINGH, GOPAL. "REALIZATION OF FRACTIONAL ORDER ANALOG UNIVERSAL FILTERs." Thesis, 2020. http://dspace.dtu.ac.in:8080/jspui/handle/repository/18025.

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Fractional order circuits incorporating fractional calculus concept have various applications in many fields namely, bio-medical engineering, control system, analog signal processing/generation, etc. In the present dissertation, along with a brief review of different methods of approximations used for the fractional order differentiator and integrator operator, fractional order analog universal filter circuits using operational transconductance amplifier and LT 1228 ICs have been presented. The workability of all the fractional order filter circuits along with fractional operator have be
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Razib, Mohammad Yeasin. "Fractional Order Transmission Line Modeling and Parameter Identification." Master's thesis, 2010. http://hdl.handle.net/10048/1392.

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Fractional order calculus (FOC) has wide applications in modeling natural behavior of systems related to different areas of engineering including bioengineering, viscoelasticity, electronics, robotics, control theory and signal processing. This thesis aims at modeling a lossy transmission line using fractional order calculus and identifying its parameters. A lossy transmission line is considered where its behavior is modeled by a fractional order transfer function. A semi-infinite lossy transmission line is presented with its distributed parameters R, L, C and ordinary AC circuit theory is app
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(9216107), Jordan D. F. Petty. "Modeling a Dynamic System Using Fractional Order Calculus." Thesis, 2020.

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<p>Fractional calculus is the integration and differentiation to an arbitrary or fractional order. The techniques of fractional calculus are not commonly taught in engineering curricula since physical laws are expressed in integer order notation. Dr. Richard Magin (2006) notes how engineers occasionally encounter dynamic systems in which the integer order methods do not properly model the physical characteristics and lead to numerous mathematical operations. In the following study, the application of fractional order calculus to approximate the angular position of the disk oscillating in a New
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Agambayev, Agamyrat. "Design, fabrication and application of fractional-order capacitors." Diss., 2019. http://hdl.handle.net/10754/631276.

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The fractional–order capacitors add an additional degree of freedom over conventional capacitors in circuit design and facilitate circuit configurations that would be impractical or impossible to implement with conventional capacitors. We propose a generic strategy for fractional-order capacitor fabrication that integrates layers of conductive, semiconductor and ferroelectric polymer materials to create a composite with significantly improved constant phase angle, constant phase zone, and phase angle variation performance. Our approach involves a combination of dissolving the polymer powders,
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Fan, Ya-Tin, and 范雅婷. "The Design of Digital Fractional-order Differentiators and Integrators." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/43776032370228631513.

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碩士<br>國立臺灣大學<br>電信工程學研究所<br>95<br>In this thesis, we introduce a few designs of digital integrator, and a few designs of fractional-order differintegrator. We apply some numerical integration rules and fractional delay filters to obtain the closed form design of IIR digital integrators. There are three types of numerical integration rules to be investigated: Newton-Cotes quadrature rule, Gauss-Legendre quadrature rule and Clenshaw-Curtis quadrature rule. The fractional delay involved in the design will be implemented by FIR Lagrange and IIR allpass fractional delay filters. Also, a combined ve
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44

Lung, Chin-Wei, and 龍治偉. "Chaos and synchronization of the fractional-order Ueda oscillator." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/60537210852752704229.

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碩士<br>中華大學<br>機械工程學系碩士班<br>98<br>The dynamics of the fractionally-order systems have attracted increasing attentions in recent years. Chaos and synchronization of the fractional-order Ueda oscillator is researched in this study. The fractional-order Ueda oscillator is solved by a Adams-Bashforth-Moulton predictor-corrector method. The phase portraits, the Poincaré map technique and bifurcation are used to study the effect of frequency of external force on the dynamic behaviors of the motion. Then design an electronic circuit to realizate of the fractional-order Ueda oscillator. Further the co
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Fan, Ya-Tin. "The Design of Digital Fractional-order Differentiators and Integrators." 2007. http://www.cetd.com.tw/ec/thesisdetail.aspx?etdun=U0001-1107200700414800.

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Sahoo, Soumya Ranjan. "Control of Plant Wide Processes Using Fractional Order Controller." Thesis, 2016. http://ethesis.nitrkl.ac.in/8437/1/2016_MT_711CH1025_SRSahoo.pdf.

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Fractional order PID controller is gaining popularity because the presence of two extra degrees of freedom, which have the potential to meet up the extra degrees in terms of uncertainty, robustness, output controllability .In other words, the fractional order PID controller is the generalization of the conventional PID controller. In the current study, the fractional order PID controller is designed and implemented for the complex and plant-wide processes. Distillation is the most effective separation process in the chemical and petroleum industries but with a drawback of energy intensivity To
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47

Chen, Wei-Huang, and 陳偉煌. "Fuzzy Fractional Order PID Controller Design Using Internal Model Concept." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/88v33j.

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碩士<br>國立高雄應用科技大學<br>電機工程系博碩士班<br>103<br>Fractional order PID controller design for Fractional order systems using internal model method is studied in this thesis. A fuzzy inference system is added into the controller to adjust the parameters increasing the performances. Compared to the traditional PID controllers, the obtained performance using the modified fuzzy time-varying PID controller is improved. The analysis of numerical simulations demonstrates the effectiveness.
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HUANG, DE-YI, and 黃得益. "Optimal Design of Fractional Order PID Controller Using Genetic Algorithm." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/5ugjkp.

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Shiu, Li-Hung, and 徐立鴻. "Robust Stabilization for Fractional Order System with Polytopic Type Uncertainty." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/82h5pd.

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碩士<br>國立高雄應用科技大學<br>電機工程系博碩士班<br>106<br>The problems of robust stability and stabilization for continuous time uncertain fractional order systems are solved in this thesis. The parametric uncertainty considered is of polytopic type. The purpose of the robust stability problem is to give condition such that the uncertain fractional order system is stable for all admissible uncertainties, while the purpose of robust stabilization is to design a state feedback control law such that the resulting closed-loop system is robustly stable. A strict linear matrix inequality (LMI) design approach is deri
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SINGH, AJENDRA. "SOME STUDIES ON ARTIFICIAL INTELLIGENCE BASED FRACTIONAL ORDER PID CONTROLLER." Thesis, 2023. http://dspace.dtu.ac.in:8080/jspui/handle/repository/20133.

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Process control in industry is improving gradually with the innovations and implementation of new technology. Different control techniques are being used for process control. Proportional Integral and Derivative (PID) controller is employed in every facet of industrial automation. In any of control application, controller design is the most important part. There are different types of controller architectures available in control literature. The applications of PID controller span from small industries to high technology industries. Designing a PID controller to meet gain and pha
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