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Dissertations / Theses on the topic 'Fractional Order Systems'

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

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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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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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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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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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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Kulkarni, Nachiket Ashok. "Effects of manufacturing conditions, stresses, temperature and humidity on the performance of an innovative fractional order control device." Thesis, Montana State University, 2005. http://etd.lib.montana.edu/etd/2005/kulkarni/KulkarniN1205.pdf.

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8

Weise, Christoph [Verfasser], Michael Akademischer Betreuer] Rudermann, Paolo [Akademischer Betreuer] Mercorelli, and Johann [Gutachter] [Reger. "Applications of equivalent representations of fractional- and integer-order linear time-invariant systems / Christoph Weise ; Gutachter: Johann Reger ; Michael Rudermann, Paolo Mercorelli." Ilmenau : TU Ilmenau, 2021. http://d-nb.info/1227188722/34.

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Kuzminskas, Hadamez. "Controle robusto chaveado de sistemas lineares e não lineares de ordem fracionária /." Ilha Solteira, 2018. http://hdl.handle.net/11449/154434.

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Orientador: Marcelo Carvalho Minhoto Teixeira<br>Resumo: Neste trabalho apresentam-se condições descritas por desigualdades matriciais lineares, LMIs (do inglês: Linear Matrix Inequalities), para o projeto de controladores robustos para sistemas dinâmicos de ordem α ∈ [0,1). Os controladores propostos utilizam a realimentação da derivada de ordem α ∈ [0,1) do vetor de estado, a chamada realimentação α-derivativa, e também a realimentação do vetor de estado. A literatura clássica apresenta resultados que utilizam o método direto de Lyapunov e a estabilização quadrática no projeto de controlador

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Tenoutit, Mammar. "Définition et réglage de correcteurs robustes d'ordre fractionnaire." Thesis, Poitiers, 2013. http://www.theses.fr/2013POIT2268.

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Les applications du calcul fractionnaire en automatique se sont considérablement développées ces dernières années, surtout en commande robuste. Ce mémoire est une contribution à la commande robuste des systèmes d'ordre entier à l'aide d'un correcteur PID d'ordre fractionnaire.Le conventionnel régulateur PID, unanimement apprécié pour le contrôle des processus industriels, a été adapté au cas fractionnaire sous la forme PInDf grâce à l'introduction d'un modèle de référence d'ordre non entier, réputé pour sa robustesse vis-à-vis des variations du gain statique.Cette nouvelle structure a été éten

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Kárský, Vilém. "Modelování LTI SISO systémů zlomkového řádu s využitím zobecněných Laguerrových funkcí." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2017. http://www.nusl.cz/ntk/nusl-316278.

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This paper concentrates on the description of fractional order LTI SISO systems using generalized Laguerre functions. There are properties of generalized Laguerre functions described in the paper, and an orthogonal base of these functions is shown. Next the concept of fractional derivatives is explained. The last part of this paper deals with the representation of fractional order LTI SISO systems using generalized Laguerre functions. Several examples were solved to demonstrate the benefits of using these functions for the representation of LTI SISO systems.

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Белоус, Д. А. "Метод моментов в решении задачи оптимального управления динамической системой дробного порядка". Thesis, Сумский государственный университет, 2017. http://essuir.sumdu.edu.ua/handle/123456789/65385.

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13

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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14

Bai, Jing. "Commande des Systèmes Multi-agent d'Ordre Fractionnaire." Thesis, Ecole centrale de Lille, 2015. http://www.theses.fr/2015ECLI0019/document.

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Ce travail concerne la commande des systèmes multi-agent d’ordre fractionnaire utilisant une topologie de communication fixe. Premièrement, la production en formation avec atténuation absolue et retard de communication est étudiée. Pour cela, une loi de commande et des conditions suffisantes sont proposées. Toutefois, dans certains scénarios, il est souhaitable que tous les agents atteignent la formation souhaitée tout en se déplacent en groupe, au lieu d’un rendez-vous à un point fixe. Ce cas sera traité en étudiant la production en formation avec atténuation relative et retard de communicati

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15

Wang, Zhibo. "Estimations non-asymptotiques et robustes basées sur des fonctions modulatrices pour les systèmes d'ordre fractionnaire." Electronic Thesis or Diss., Bourges, INSA Centre Val de Loire, 2023. http://www.theses.fr/2023ISAB0003.

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Cette thèse développe la méthode des fonctions modulatrices pour des estimations non-asymptotiques et robustes pour des pseudo-états des systèmes nonlinéaires d'ordre fractionnaire, des systèmes linéaires d'ordre fractionnaire avec des accélérations en sortie, et des systèmes à retards d'ordre fractionnaire. Les estimateurs conçus sont fournis en termes de formules intégrales algébriques, ce qui assure une convergence non-asymptotique. Comme une caractéristique essentielle des algorithmes d'estimation conçus, les mesures de sorties bruitées ne sont impliquées que dans les termes intégraux, ce

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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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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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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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N'Doye, Ibrahima. "Généralisation du lemme de Gronwall-Bellman pour la stabilisation des systèmes fractionnaires." Phd thesis, Université Henri Poincaré - Nancy I, 2011. http://tel.archives-ouvertes.fr/tel-00584402.

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Dans ce mémoire, nous avons proposé une méthode basée sur l'utilisation de la généralisation du lemme de Gronwall-Bellman pour garantir des conditions suffisantes de stabilisation asymptotique pour une classe de systèmes non linéaires fractionnaires. Nous avons étendu ces résultats dans la stabilisation asymptotique des systèmes non linéaires singuliers fractionnaires et proposé des conditions suffisantes de stabilité asymptotique de l'erreur d'observation dans le cas de l'étude des observateurs pour les systèmes non linéaires fractionnaires et singuliers fractionnaires. Pour les systèmes non

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Brauer, Uwe, and Lavi Karp. "Local existence of classical solutions for the Einstein-Euler system using weighted Sobolev spaces of fractional order." Universität Potsdam, 2006. http://opus.kobv.de/ubp/volltexte/2009/3017/.

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We prove the existence of a class of local in time solutions, including static solutions, of the Einstein-Euler system. This result is the relativistic generalisation of a similar result for the Euler-Poisson system obtained by Gamblin [8]. As in his case the initial data of the density do not have compact support but fall off at infinity in an appropriate manner. An essential tool in our approach is the construction and use of weighted Sobolev spaces of fractional order. Moreover, these new spaces allow us to improve the regularity conditions for the solutions of evolution equations. The deta

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N'Doye, Ibrahima. "Généralisation du lemme de Gronwall-Bellman pour la stabilisation des systèmes fractionnaires." Electronic Thesis or Diss., Nancy 1, 2011. http://www.theses.fr/2011NAN10007.

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Dans ce mémoire, nous avons proposé une méthode basée sur l'utilisation de la généralisation du lemme de Gronwall-Bellman pour garantir des conditions suffisantes de stabilisation asymptotique pour une classe de systèmes non linéaires fractionnaires. Nous avons étendu ces résultats dans la stabilisation asymptotique des systèmes non linéaires singuliers fractionnaires et proposé des conditions suffisantes de stabilité asymptotique de l'erreur d'observation dans le cas de l'étude des observateurs pour les systèmes non linéaires fractionnaires et singuliers fractionnaires.Pour les systèmes non l

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Šustková, Apolena. "Řešení obyčejných diferenciálních rovnic neceločíselného řádu metodou Adomianova rozkladu." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2021. http://www.nusl.cz/ntk/nusl-445455.

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This master's thesis deals with solving fractional-order ordinary differential equations by the Adomian decomposition method. A part of the work is therefore devoted to the theory of equations containing differential operators of non-integer order, especially the Caputo operator. The next part is devoted to the Adomian decomposition method itself, its properties and implementation in the case of Chen system. The work also deals with bifurcation analysis of this system, both for integer and non-integer case. One of the objectives is to clarify the discrepancy in the literature concerning the fr

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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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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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Chetoui, Manel. "Identification de systèmes par modèle non entier à partir de signaux d'entrée sortie bruités." Phd thesis, Université Sciences et Technologies - Bordeaux I, 2013. http://tel.archives-ouvertes.fr/tel-00989549.

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Les principales contributions de cette thèse concernent l'identification à temps continu des systèmes par modèles non entiers dans un contexte à erreurs en les variables. Deux classes de méthodes sont développées : la première classe est fondée sur les statistiques d'ordre trois et la deuxième est fondée sur les statistiques d'ordre quatre. Dans chaque classe, deux cas différents sont distingués : le premier cas suppose que tous les ordres de dérivation non entiers sont connus a priori et seuls les coefficients de l'équation différentielle non entière sont estimés en utilisant les estimateurs

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Zaylaa, Amira. "Analyse et extraction de paramètres de complexité de signaux biomédicaux." Thesis, Tours, 2014. http://www.theses.fr/2014TOUR3315/document.

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L'analyse de séries temporelles biomédicales chaotiques tirées de systèmes dynamiques non-linéaires est toujours un challenge difficile à relever puisque dans certains cas bien spécifiques les techniques existantes basées sur les multi-fractales, les entropies et les graphes de récurrence échouent. Pour contourner les limitations des invariants précédents, de nouveaux descripteurs peuvent être proposés. Dans ce travail de recherche nos contributions ont porté à la fois sur l’amélioration d’indicateurs multifractaux (basés sur une fonction de structure) et entropiques (approchées) mais aussi su

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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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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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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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Chen, Chun-Yao, and 陳俊堯. "Intelligent Adaptive Control of Missile Defense Systems and Fractional Order Systems." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/76867859855388453711.

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博士<br>國立交通大學<br>電控工程研究所<br>103<br>In this dissertation, two part of control schemes are proposed to solve the control problems of missile defense system (MDS) and fractional order system. The first part is a new adaptive self-organizing map (SOM) with recurrent neural network (RNN) controller for task assignment and path evolution of MDS. The first scheme is composed of a RNN controller and a monitoring controller. The RNN controller is designed to force an agent (or defending missile) toward a target (or incoming missile), and a monitoring controller is also designed to reduce the error betwe

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Chun, Yen Hsiang, and 顏向駿. "The Study of Control Systems withFractional Order HoldThe Study of Control Systems with Fractional Order Hold." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/61737533778299812954.

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碩士<br>國立高雄應用科技大學<br>化學工程與材料工程系<br>97<br>In this thesis, a simple feedback control system with a fractional order hold is investigated. First, the model of a fraction order hold is constructed and is simulated by Simulink software. Then, the effect of the fraction order on the system time response is discussed based on the criteria of the integral square error. The simulation results show that choosing a proper fraction order is able to reduce the time response error. Furthermore, the sampled data system is represented by a discrete transfer function and Jury stability test is applied to determ

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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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Koh, Bong Su. "New Results in Stability, Control, and Estimation of Fractional Order Systems." Thesis, 2011. http://hdl.handle.net/1969.1/ETD-TAMU-2011-05-9527.

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A review of recent literature and the research effort underlying this dissertation indicates that fractional order differential equations have significant potential to advance dynamical system methods broadly. Particular promise exists in the area of control and estimation, even for systems where fractional order models do not arise “naturally”. This dissertation is aimed at further building of the base methodology with a focus on robust feedback control and state estimation. By setting the mathematical foundation with the fractional derivative Caputo definition, we can expand the concept of t

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Hsieh, Hsin-Po, and 謝鑫伯. "Stability and performance analysis of fractional-order PID-deadtime control systems." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/83251751568488008137.

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碩士<br>義守大學<br>生物技術與化學工程研究所碩士班<br>96<br>The stability and performance analysis of unstable first-order time-delay (FOTD) systems using fractional-order PID-deadtime controllers as well as integer-order ones are presented. The D-partition technique is used to characterize the boundary of the stability domain in the space of process and controller parameters. The characterization of a stability boundary allows one to describe and compute the maximum stabilizable time delay. The integral of squared error (ISE) is selected as the performance index to design and evaluate control systems. It is shown

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Shiao, Chuan-Lin, and 蕭傳霖. "Fractional-Order PID Control Design for Modular Wind Power Generating Systems." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/53561562664969666846.

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碩士<br>中原大學<br>電機工程研究所<br>102<br>ABSTRACT The purpose of this thesis is to design a wind power hybrid system, in which it can connect different green power. The wind power generation output is boosted a by a high step-up converter to hybrid modular system. The hybrid system is composed of a master converter and sever slaver converters, where the master converter stabilizes the output DC voltage and the slaver modules perform the maximum power point tracking (MPPT). In order to achieve the wind turbine maximum power point and stabilize the output voltage, we propose a fractional-order PID cont

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Chen, Yi-Jung, and 陳一榮. "Simultaneous Stabilization and Set-point Tracking for Fractional Order Linear Systems." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/3jqp49.

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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 zero-error stabilization of the fractional-order system state equation setpoint control is the subject of this thesis. At the same time, the problem of stabilization is to find a controller stabilize multiple systems. This problem belongs to the field of robust control and a wide range of applications. At the same time, the stabilization problem was immediately raised by Saeks and Murray [3], Vidyasagar and Viswanadham [4]. In the next few decades, the application of stabilization in various problem areas appeared at the same time. A lot of research

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Sivaprasad, R. "Steady State Dynamics Of Systems With Fractional Order Derivative Damping Models." Thesis, 2009. https://etd.iisc.ac.in/handle/2005/989.

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Rubber like materials find wide applications in damping treatment of structures, vibration isolations and they appear prominently in the form of hoses in many structures such as aircraft engines. The study reported in this thesis addresses a few issues in computational modeling of vibration of structures with some of its components made up of rubber like materials. Specifically, the study explores the use of fractional derivatives in representing the constitutive laws of such material and focuses its attention on problems of parameter identification in linear time invariant systems with fracti

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Sivaprasad, R. "Steady State Dynamics Of Systems With Fractional Order Derivative Damping Models." Thesis, 2009. http://hdl.handle.net/2005/989.

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Rubber like materials find wide applications in damping treatment of structures, vibration isolations and they appear prominently in the form of hoses in many structures such as aircraft engines. The study reported in this thesis addresses a few issues in computational modeling of vibration of structures with some of its components made up of rubber like materials. Specifically, the study explores the use of fractional derivatives in representing the constitutive laws of such material and focuses its attention on problems of parameter identification in linear time invariant systems with fracti

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"Fractional Order PID Controller Tuning by Frequency Loop-Shaping: Analysis and Applications." Doctoral diss., 2017. http://hdl.handle.net/2286/R.I.46202.

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abstract: The purpose of this dissertation is to develop a design technique for fractional PID controllers to achieve a closed loop sensitivity bandwidth approximately equal to a desired bandwidth using frequency loop shaping techniques. This dissertation analyzes the effect of the order of a fractional integrator which is used as a target on loop shaping, on stability and performance robustness. A comparison between classical PID controllers and fractional PID controllers is presented. Case studies where fractional PID controllers have an advantage over classical PID controllers are discussed

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Shi, Yu-Sheng, and 施育昇. "Synchronous stabilization and positivity of 2D fractional order uncertain discrete-time systems." Thesis, 2019. http://ndltd.ncl.edu.tw/handle/66enky.

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碩士<br>國立高雄科技大學<br>電機工程系<br>107<br>The subject of this thesis is the synchronous forward and stabilization of two-dimensional fractional-order uncertain discrete-time systems with convex polytopic uncertainties. According to the previous literature, most of the calculations are only for a single system. This thesis is extended to the analysis and design of multiple systems, so that multiple uncertain systems can achieve simultaneous stabilization. Simultaneous stabilization of multiple uncertain systems can be seen as a technique for fault-tolerant control. The purpose is to find a controller t

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CAI, CHENG-EN, and 蔡承恩. "Robust Positivity and Stabilization of Uncertain Discrete Fractional Order Time-delays Systems." Thesis, 2019. http://ndltd.ncl.edu.tw/handle/nc59ev.

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碩士<br>國立高雄科技大學<br>電機工程系<br>107<br>The purpose of this thesis is to find the state feedback gain matrix of an uncertain discrete fractional order time-delay system, which makes the uncertain discrete fractional time-delay system positivity and asymptotically stable. In this paper, we will first describe what is a fractional order calculus and explain the difference between the discrete fractional order system applied in the paper and the more commonly used continuous fractional order systems. Then, using the discrete fractional order calculus, the main discussion topic of this paper is the robu

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李乾豪. "Chaos, Uncoupled and Pragmatical Synchronization and Anti-synchronization of Integral Order and Fractional Order Double Duffing Systems." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/13605497575646904498.

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Ou, Chan-Yi, and 歐展義. "Chaos, Its Synchronization and Anticontrol of Fractional Order Modified Nano Duffing Resonator Systems." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/52165486694051152707.

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碩士<br>國立交通大學<br>機械工程系所<br>94<br>In this thesis, the chaotic behaviors in a fractional order modified nano Duffing resonator system are studied numerically by phase portraits, Poincaré maps and bifurcation diagrams. Linear transfer function approximations of the fractional integrator block are calculated for a set of fractional orders in (0,1], based on frequency domain arguments. The total system orders found for chaos to exist in such systems are 1.8, 1.9, 2.0 and 2.1. The chaos synchronizations of two uncoupled fractional order chaotic modified nano Duffing resonator systems are obtained. By

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Zhang, An-Ray, and 張安瑞. "Chaos, Its Synchronization and Anticontrol of Integral and Fractional Order Modified Heartbeat Systems." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/50136706911593634053.

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碩士<br>國立交通大學<br>機械工程系所<br>94<br>Chaos, chaos synchronization and anticontrol for integral and fractional modified heartbeat systems are studied in the thesis. By applying numerical results, phase portrait, Poincaré maps and bifurcation diagrams, a variety of the phenomena of the periodic and chaotic motion can be presented. The synchronizations of two uncoupled integral and fractional order chaotic modified heartbeat systems are accomplished by parameter excited synchronization. Anticontrol of chaos of fractional order modified heartbeat systems can be obtained by addition of a constant term a

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Hsu, Mao-Yuan, and 徐茂原. "Chaos, Its Synchronization and Anticontrol of Integral and Fractional Order Generalized Heartbeat Systems." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/86556263121351243862.

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碩士<br>國立交通大學<br>機械工程系所<br>94<br>In this thesis, chaos of a generalized heartbeat system with integral and fractional orders is studied. Both nonautonomous and autonomous systems are considered in detail. Chaos in the nonautonomous generalized heartbeat system excited by a sinusoidal time function with integral and fractional orders is studied. Next, chaos in the autonomous generalized heartbeat system with integral and fractional orders is considered. Numerical analyses, such as phase portraits, Poincaré maps and bifurcation diagrams are observed. Chaos can be successfully obtained in the frac

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Chien, Tseng-Hsu, and 錢增旭. "Low-Order State-Space Self-Tuning Control for Stochastic Integer/Fractional Order Chaotic Systems and Fault Tolerant Control." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/03730441677592432830.

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博士<br>國立成功大學<br>電機工程學系碩博士班<br>95<br>A study of a new effective low-order state-space self-tuning control for stochastic integer/fractional order chaotic systems and fault tolerant control is presented in this dissertation. This dissertation includes three aspects: First of all, an effective lower-order tuner for a stochastic chaotic hybrid system is designed using the observer/Kalman filter identification method, in which the system state in a general coordinate form is transformed to one in an observer form. Moreover, it provides a lower-order realization of the tracker, with computationally

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(10734243), Attila Lendek. "TIME-VARYING FRACTIONAL-ORDER PID CONTROL FOR MITIGATION OF DERIVATIVE KICK." Thesis, 2021.

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<div>In this thesis work, a novel approach for the design of a fractional order proportional integral</div><div>derivative (FOPID) controller is proposed. This design introduces a new time-varying FOPID controller</div><div>to mitigate a voltage spike at the controller output whenever a sudden change to the setpoint occurs. The</div><div>voltage spike exists at the output of the proportional integral derivative (PID) and FOPID controllers when a</div><div>derivative control element is involved. Such a voltage spike may cause a serious damage to the plant if it is</div><div>left uncontrolled. T

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易昌賢. "Chaos, Its Synchronization and Anticontrol of Integral and Fractional Order Nano Parameter Resonator Systems." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/54290242599145868629.

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碩士<br>國立交通大學<br>機械工程系所<br>94<br>The chaos, chaos synchronization and anti-control of integral and fractional order nano parameter resonator system are studied in this thesis. Linear approximation of a fractional order integrator to analyze nano parameter resonator system can be obtained by utilizing frequency domain techniques based in Bode diagrams. By applying numerical analyses such as phase portraits, Poincar�� maps and bifurcation diagrams, the periodic and chaotic motions are observed. The chaos synchronizations of two uncoupled integral and fractional order identical chaotic nano resona

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