Tuning PI and fractional order PI controllers with an additional fractional order Pole

The use of fractional order proportional-integral (FOPI) controllers, applied to back-to-back (BTB) power converters is proposed and studied in this paper. A comparative study with the integer order proportional-integral (PI) controllers, traditionally used for this purposes, is performed and the result are discussed. The BTB power converter is connected between a permanent magnet synchronous generator (PMSG) -which is moved by a turbine placed in line with a mineral pipeline for energy recovery purposesand the electrical network, to inject the recovered energy through a voltage control into the electrical network. Simulations under normal conditions (constant torque) as well as under variable torque variations are studied, representing different possible operating scenarios for the generator.

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Fractional Order Pole Placement for a buck converter based on commensurable transfer function

ISA Transactions ◽

10.1016/j.isatra.2020.07.034 ◽

2020 ◽

Vol 107 ◽

pp. 370-384

Author(s):

Florindo A. de C. Ayres ◽

Iury Bessa ◽

Vinicius Matheus Batista Pereira ◽

Nei Junior da Silva Farias ◽

Alessandra Ribeiro de Menezes ◽

...

Keyword(s):

Transfer Function ◽

Fractional Order ◽

Buck Converter ◽

Pole Placement ◽

Order Pole

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Design of an integer order proportional–integral/proportional–integral–derivative controller based on model parameters of a certain class of fractional order systems

Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering ◽

10.1177/0959651818792363 ◽

2018 ◽

Vol 233 (3) ◽

pp. 320-334 ◽

Cited By ~ 3

Author(s):

Erhan Yumuk ◽

Müjde Güzelkaya ◽

İbrahim Eksin

Keyword(s):

Fractional Order ◽

Design Parameter ◽

Design Methodology ◽

Model Parameters ◽

Proportional Integral Derivative ◽

Level Control ◽

Proportional Integral Derivative Controller ◽

Integer Order ◽

Proportional Integral ◽

Order Pole

In this study, we deal with systems that can be represented by single fractional order pole models and propose an integer order proportional–integral/proportional–integral–derivative controller design methodology for this class. The basic principle or backbone of the design methodology of the proposed controller relies on using the inverse of the fractional model and then approximating this fractional controller transfer function by a low integer order model using Oustaloup filter. The emerging integer order controller reveals itself either in pre-filtered proportional–integral or proportional–integral–derivative form by emphasizing on the dominancy concept of pole-zero configuration. Parameters of the proposed controllers depend on the parameters of the single fractional order pole model and the only free design parameter left is the overall controller gain. This free design parameter is determined via some approximating functions relying on an optimization procedure. Simulation results show that the proposed controller exhibits either satisfactory or better results with respect to some performance indices and time domain criteria when they are compared to classical integer order proportional–integral–derivative and fractional order proportional–integral–derivative controllers. Moreover, the proposed controller is applied to real-time liquid level control system. The application results show that the proposed controller outperforms the other controllers.

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A ROBUST TUNING METHOD FOR FRACTIONAL ORDER PI CONTROLLERS

IFAC Proceedings Volumes ◽

10.3182/20060719-3-pt-4902.00003 ◽

2006 ◽

Vol 39 (11) ◽

pp. 22-27 ◽

Cited By ~ 19

Author(s):

YangQuan Chen ◽

Huifang Dou ◽

Blas M. Vinagre ◽

Concha. A. Monje

Keyword(s):

Fractional Order ◽

Tuning Method ◽

Pi Controllers

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New Design Method for Fractional Order Proportional Integral (FO-PI) Controller of 3x3 Multivariable Systems

Algerian Journal of Signals and Systems ◽

10.51485/ajss.v5i1.99 ◽

2020 ◽

Vol 5 (1) ◽

pp. 73-78

Author(s):

Sami LAIFA ◽

Badreddine BOUDJEHEM

Keyword(s):

Fractional Order ◽

Design Method ◽

Optimal Parameters ◽

Proportional Integral ◽

Pi Controllers ◽

Integral Controller ◽

Proportional Integral Controller ◽

Diffusive Representation ◽

Irrational Transfer Function ◽

Better Than

This paper presents a new design method of Fractional Order Proportional Integral Controller (FO-PI) for 3x3 multivariable system (three-input-three-output). The Optimal parameters of the FO-PI controllers are tuning by minimizing performance index criterion as objective function. The irrational transfer function of the fractional operator is performed by means of diffusive representation and allows to formulate the optimization problem as a function of fractional order. The simulation results show that the performance of the response obtained by diffusive approach -based FO-PI are better than whose obtained by the classical controllers.

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Joint Position Control Based on Fractional-Order PD and PI Controllers for the Arm of the Humanoid Robot TEO

International Journal of Humanoid Robotics ◽

10.1142/s0219843619500427 ◽

2019 ◽

Vol 16 (06) ◽

pp. 1950042

Author(s):

Jorge Muñoz ◽

Concepción A. Monje ◽

Santiago Martínez de la Casa ◽

Carlos Balaguer

Keyword(s):

Fractional Order ◽

Elbow Joint ◽

Humanoid Robot ◽

Position Control ◽

Joint Position ◽

Robust Performance ◽

Tuning Method ◽

Control Scheme ◽

Pi Controllers ◽

Humanoid Arm

This paper presents a control scheme for the humanoid robot TEO’s elbow joint based on a novel tuning method for fractional-order PD and PI controllers. Due to the graphical nature of the proposed method, a few basic operations are enough to tune the controllers, offering very competitive results compared to classic methods. The experiments show a robust performance of the system to mass changes at the tip of the humanoid arm.

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