Fractional PID Controllers for Industry Application. A Brief Introduction

Vinagre, Blas M.; Monje, Concepción A.; Martín, Antonio; Suárez, José I.

doi:10.1177/1077546307077498

Cited by 157 publications

(63 citation statements)

References 7 publications

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“…Because of its fabulous opportunity and uses in numerous fields, an extensive consideration has been given to exact and numerical solutions of fractional differential equations. An abundant deal of researchers has exposed the beneficial use of the fractional calculus in the forming and mechanism of numerous dynamical structures [3][4][5][6][7][8][9][10][11][12][13][14]. In addition to forming of different modeling features of these fractional ordered differential equations, the solution procedures and their consistency are rather more vital characteristics.…”

Section: Introductionmentioning

confidence: 99%

Numerical method for fractional dispersive partial differential equations

Prakash¹,

Kumar²

2017

Communications in Numerical Analysis

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In this work, fractional variational iteration method (FVIM) has been applied successfully to find the solution of fractional dispersive partial differential equations of third-order in multi-dimensional spaces. The contemplated graphs explain the character of the solution for different values of fractional order . The mightiness and accurateness of the proposed techniques are studied with the help of two test examples.

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Section: Introductionmentioning

confidence: 99%

Numerical method for fractional dispersive partial differential equations

Prakash¹,

Kumar²

2017

Communications in Numerical Analysis

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“…The studies of analytical tuning for FOPID can be found in [25][26][27]. The available rule-based methods can also be extended to the auto-tuning method by incorporating an additional test such as relay feedback test into the loop [28,29].…”

Section: Fractional Order Pid Tuning Methodsmentioning

confidence: 99%

Fractional Order PID Control of Rotor Suspension by Active Magnetic Bearings

Anantachaisilp¹,

Lin

2017

Actuators

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Abstract:One of the key issues in control design for Active Magnetic Bearing (AMB) systems is the tradeoff between the simplicity of the controller structure and the performance of the closed-loop system. To achieve this tradeoff, this paper proposes the design of a fractional order Proportional-Integral-Derivative (FOPID) controller. The FOPID controller consists of only two additional parameters in comparison with a conventional PID controller. The feasibility of FOPID for AMB systems is investigated for rotor suspension in both the radial and axial directions. Tuning methods are developed based on the evolutionary algorithms for searching the optimal values of the controller parameters. The resulting FOPID controllers are then tested and compared with a conventional PID controller, as well as with some advanced controllers such as Linear Quadratic Gausian (LQG) and H ∞ controllers. The comparison is made in terms of various stability and robustness specifications, as well as the dimensions of the controllers as implemented. Lastly, to validate the proposed method, experimental testing is carried out on a single-stage centrifugal compressor test rig equipped with magnetic bearings. The results show that, with a proper selection of gains and fractional orders, the performance of the resulting FOPID is similar to those of the advanced controllers.

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“…It can also be mentioned that there are many other modifications of the fractional P I λ D δ controller [15,20,19,39] and other considerations of the fractional-order controller. For example, we can mention several of them:…”

Section: Fractional-order Controllersmentioning

confidence: 99%

Tuning and implementation methods for fractional-order controllers

Petráš

2012

fcaa

113

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This survey paper presents methods of tuning and implementation of Fractional-Order Controllers (FOC). In the article are presented tuning, auto-tuning and self-tuning methods for the FOC. As the FOC are considered fractional PID controllers, the Commande Robuste d'Ordre Non Entier (CRONE) controller and fractional-order lead-lag compensators. As implementation techniques are described the IIR and FIR filters forms of approximation methods, which can be easily implemented in microprocessor devices such as for example the Programmable Logic Controller (PLC), etc. The possibility for analogue implementation of such kind of controllers is also mentioned. An example of practical implementation of the FOC together with all problems and restrictions are described as well.MSC 2010 : Primary 26A33, Secondary 93C05

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Fractional PID Controllers for Industry Application. A Brief Introduction

Cited by 157 publications

References 7 publications

Numerical method for fractional dispersive partial differential equations

Numerical method for fractional dispersive partial differential equations

Fractional Order PID Control of Rotor Suspension by Active Magnetic Bearings

Tuning and implementation methods for fractional-order controllers

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