Fractional order PID controller (FOPID)-Toolbox

Lachhab, Nabil; Svaricek, Ferdinand; Wobbe, Frank; Rabba, Heiko

doi:10.23919/ecc.2013.6669365

Cited by 16 publications

(3 citation statements)

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“…The simulation results were obtained using Matlab Simulink package [57], [58], S-Function and FOMCON ("Fractional-order Modeling and Control" toolbox for MAT-LAB) [59], [60]. The FOMCON toolbox computes the transient response using the Grünwald-Letnikov method.…”

Section: The Simulation Resultsmentioning

confidence: 99%

An Approach to Control of Human Leg Switched Dynamics

Maćkowski¹,

Grzejszczak²,

Łęgowski³

2015

2015 20th International Conference on Control Systems and Computer Science

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This article describes the approach to control of human leg dynamical model as a switched linear system. The control scheme consists of fractional and integral order PID controllers. In the paper we analyze the responses of the system depending on the above-mentioned controllers. We focus our attention on angular displacements only. The angular velocity maybe arbitrary. Additionally, we present the method how to design a human leg as the switched linear system. In this case the switching rule is state-dependent. Finally, we present two illustrative examples for two different trajectories.

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Section: The Simulation Resultsmentioning

confidence: 99%

An Approach to Control of Human Leg Switched Dynamics

Maćkowski¹,

Grzejszczak²,

Łęgowski³

2015

2015 20th International Conference on Control Systems and Computer Science

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“…The fractional order PID (FOPID) controller toolbox, presented by Lachhab et al, is for the design of robust fractional order P I α D β controllers, [55]. The tuning rules for the parameters follow those promoted in [56] and [57].…”

Section: Fopidmentioning

confidence: 99%

A review and evaluation of numerical tools for fractional calculus and fractional order controls

Liu

Dehghan

et al. 2016

International Journal of Control

138

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In recent years, as fractional calculus becomes more and more broadly used in research across different academic disciplines, there are increasing demands for the numerical tools for the computation of fractional integration/differentiation, and the simulation of fractional order systems. Time to time, being asked about which tool is suitable for a specific application, the authors decide to carry out this survey to present recapitulative information of the available tools in the literature, in hope of benefiting researchers with different academic backgrounds. With this motivation, the present article collects the scattered tools into a dashboard view, briefly introduces their usage and algorithms, evaluates the accuracy, compares the performance, and provides informative comments for selection.

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“…In [9] 'Particle Swarm Optimization Technique' was used to design FOPID. A Tuning method for PID controller is described in [10] and also based on this a FOPID-toolbox for MATLAB is presented.…”

Section: Introductionmentioning

confidence: 99%

Performance Analysis of a Stable third order System using Fractional Order PIαDβ Controller

Tripathy¹

2018

IJRASET

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The aim of the paper is to compare the performance of Fractional order (FOPID) controller to that of a traditional PID controller. In this work a stable 3rd order plant is taken and controlled by both controllers and the performance of both the controllers are analysed using MATLAB/Simulink. Here, Ziegler-Nichols method is used for the tuning of PID controller and a stable 3rd order system is obtained by using the concept of Routh's stability criterion. It has been found that by varying the order of controller; a better performance can be obtained compared to the traditional PID controller. Keywords: Fractional order controller, PID controller, Fractional order system, Fractional capacitor I. INTRODUCTIONController is a unit which generates a control signal to the final element, based on a measured deviation of the controlled variable from the set point [1]. There are two types of controller modes-Continuous and Discontinuous. A proportional-integralderivative (PID) controller, is a continuous controller which is also known as three term controller, is a control loop feedback mechanism used for applications requiring continuously modulated control such as industrial control systems and a variety of other applications. The popularity of PID controllers in industrial applications are because of their simplicity, robustness, near-optimal performance and a wide range of applicability [1]. A PID controller continuously calculates an error value as the difference between a desired set point and a measured process variable and applies a correction based on proportional, integral and derivative terms (denoted as P, I and D respectively) which give their name to the controller [1]. A fractional order system can be defined as a dynamical system which can be modelled by a fractional differential equation which contains derivatives of non-integer order. The fractional order system can also be defined as an area where biochemistry, medicine and electrical engineering overlap which gives rise to a number of new potential applications [2,3]. A generalization of PID controller is given by the fractional order PID controller presented as PI D [4]. PID controller is designed with the aim to achieve high performance which includes small settling time and low percentage overshoot. Improvisation in terms of performance of PID controllers can further be achieved by appropriate settings of fractional-I and fractional-D actions, which is termed as fractional order PID controller [5]. Fractional order PID controller is realized by replacing the traditional capacitor of PID controller with fractional capacitor. Fractional capacitor (FC) is a passive circuit element that gives phase angle between 0 to -90 degree and remains constant with frequency [6,7]. The impedance of a fractional capacitor (FC) is expressed as

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Fractional order PID controller (FOPID)-Toolbox

Cited by 16 publications

References 0 publications

An Approach to Control of Human Leg Switched Dynamics

An Approach to Control of Human Leg Switched Dynamics

A review and evaluation of numerical tools for fractional calculus and fractional order controls

Performance Analysis of a Stable third order System using Fractional Order PIαDβ Controller

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